Cambridge 2027 Economics: macroeconomics and development

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Cambridge International AS & A Level Economics (9708), examination year 2027: AI-assisted conceptual alignment to official sources, not teacher or exam-board certification. Syllabus mapping and remaining coverage.

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AS circular flow: sectors, planned injections and leakages
AS objectives: price stability, unemployment and growth
AS current-account stability and four policy channels
A Level objectives: external stability, development, sustainability and distribution
A Level development characteristics: population, distribution and structure

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Question 1Original fictional annual circular-flow model, in billion currency units per year: income/output Y=1000, household consumption C=700, saving S=100, taxes T=200, planned investment I=120, government purchases G=180, exports X=90 and imports M=90. Taxes contain no transfers; ignore depreciation and foreign income/transfers. (a) Draw and explain money and real flows between households and firms, then add government and the overseas sector. Distinguish a closed economy from an open economy and explain saving and investment via financial institutions. (b) Calculate planned injections and leakages and check the initial equilibrium against expenditure on domestic output. Also check the corresponding closed model with X=M=0 and all domestic figures unchanged. (c) At the initial income, exports unexpectedly fall to 60 while every other planned flow initially remains unchanged. Calculate the planned spending shortfall and explain the likely inventory/output adjustment. (d) Explain why an ex post accounting identity does not prove planned equilibrium, and why the final change in income cannot be calculated from these data. Do not use a multiplier or marginal/average propensities.8 indicative marks

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Original fictional annual circular-flow model, in billion currency units per year: income/output Y=1000, household consumption C=700, saving S=100, taxes T=200, planned investment I=120, government purchases G=180, exports X=90 and imports M=90. Taxes contain no transfers; ignore depreciation and foreign income/transfers. (a) Draw and explain money and real flows between households and firms, then add government and the overseas sector. Distinguish a closed economy from an open economy and explain saving and investment via financial institutions. (b) Calculate planned injections and leakages and check the initial equilibrium against expenditure on domestic output. Also check the corresponding closed model with X=M=0 and all domestic figures unchanged. (c) At the initial income, exports unexpectedly fall to 60 while every other planned flow initially remains unchanged. Calculate the planned spending shortfall and explain the likely inventory/output adjustment. (d) Explain why an ex post accounting identity does not prove planned equilibrium, and why the final change in income cannot be calculated from these data. Do not use a multiplier or marginal/average propensities.

Cambridge 2027: Direct conceptual match

AS circular flow: sectors, planned injections and leakages: explicitly exercises 4.2.1-4.2.3, printed p20 (PDF page 20). The prompt and worked reasoning directly address this registered content section; this is conceptual evidence, not exhaustive leaf coverage or teacher approval.

9708: 4.2: Income circulation

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Draw households and firms first: households supply labour and other factor services and receive wages/rent/interest/profit; households buy firms' output with consumption spending. Put arrows in opposite directions for the real transaction and its associated payment. Add a financial channel receiving household saving and financing firms' investment; saving and investment are different decisions.
Add government receiving taxes and buying output, and an overseas sector buying exports and supplying imports. A closed model removes the overseas sector, not government. The supplied model abstracts from transfers, depreciation and foreign factor income, so its income and expenditure measures are deliberately simplified.
In the open model, injections=120+180+90=390 and leakages=100+200+90=390. Expenditure is 700+120+180+90-90=1000, while household income use is 700+100+200=1000. With X=M=0, injections and leakages are both 300 and domestic expenditure remains 1000.
With exports now 60, planned expenditure becomes 700+120+180+60-90=970. Planned leakages exceed injections by 30. If output stays at 1000 initially, this discrepancy is unsold output, not an immediate accounting disappearance of income. Actual investment then includes 120 planned plus 30 unplanned inventories, so actual expenditure is again 1000.
Persistent unintended inventory accumulation can lead firms to cut production and factor payments, lowering income and altering subsequent flows. The table specifies initial flows, not their response functions. No final equilibrium income, multiplier or propensity can be inferred. A different later export recovery or policy response could change the adjustment; national-account identities alone do not establish intended spending equality.

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Describe household factor services to firms and goods/services back to households, with factor-income payments and consumption spending moving oppositely to their associated real flows.
Add taxes to government and government purchases from firms; exports receive overseas spending while imports send spending abroad. A closed economy has no overseas trade flows; government can still exist.
Saving is income not consumed or paid in taxes here; it leaks from the current spending stream. Planned investment is spending on capital goods/inventories, an injection, not simply a purchase of financial shares.
Initial planned injections I+G+X=390 and leakages S+T+M=390 billion per year balance; C+I+G+X-M=1000=Y and C+S+T=1000.
In the corresponding closed model, I+G=S+T=300 and C+I+G=1000. Closure alone does not remove saving, investment or government.
After exports fall, planned injections are 360 against leakages 390, and domestic planned expenditure is 970: a 30-billion annual-rate shortfall at the initial income.
If firms initially produce at the old rate, unsold output creates unplanned inventory investment of 30 at an annual rate, tending to induce output and income reductions if the demand loss persists.
Actual investment would include that unplanned inventory accumulation, reconciling the ex post identity with disequilibrium. Future spending, saving, tax and import responses are unspecified, so 30 is not a calculated final fall in income.

Examiner tip

Ex post saving-investment consistency is not the same as equality of planned injections and leakages. A flow is measured per period, not as a stock. Indicative self-marking only; independent teacher approval pending. Alternative well-supported reasoning is acceptable; these points are not official Cambridge mark allocations.

Question 2Fictional country Luma has CPI 100 last year and 104 this year, real GDP rising from 500 to 515 billion currency units, and 480000 unemployed people within a labour force of 8 million. Its illustrative government targets are annual inflation 2%, unemployment 4% and real GDP growth 4%; these targets are scenario assumptions, not Cambridge rules. (a) Calculate all three observed rates and their percentage-point distances from target. Explain why price stability does not necessarily mean a zero change in every price. (b) Assuming excessive aggregate demand is the main cause of inflation, explain how a policy-rate increase could advance the price-stability objective. (c) In a separate scenario of deficient demand and idle capacity, explain how temporary government purchases could advance low unemployment and output growth. (d) Explain how training and reliable electricity provision could advance sustained growth and structural employment. Give a condition limiting each mechanism and identify further evidence needed to choose among them. Analyse the three objectives separately; policy conflicts and trade-offs are not required in this AS task.7 indicative marks

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Fictional country Luma has CPI 100 last year and 104 this year, real GDP rising from 500 to 515 billion currency units, and 480000 unemployed people within a labour force of 8 million. Its illustrative government targets are annual inflation 2%, unemployment 4% and real GDP growth 4%; these targets are scenario assumptions, not Cambridge rules. (a) Calculate all three observed rates and their percentage-point distances from target. Explain why price stability does not necessarily mean a zero change in every price. (b) Assuming excessive aggregate demand is the main cause of inflation, explain how a policy-rate increase could advance the price-stability objective. (c) In a separate scenario of deficient demand and idle capacity, explain how temporary government purchases could advance low unemployment and output growth. (d) Explain how training and reliable electricity provision could advance sustained growth and structural employment. Give a condition limiting each mechanism and identify further evidence needed to choose among them. Analyse the three objectives separately; policy conflicts and trade-offs are not required in this AS task.

Cambridge 2027: Direct conceptual match

AS objectives: price stability, unemployment and growth: explicitly exercises 5.1.1, printed p21 (PDF page 21). The prompt and worked reasoning directly address this registered content section; this is conceptual evidence, not exhaustive leaf coverage or teacher approval.

9708: 5.1: Macro objectives

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Use the original value as the percentage-change denominator. CPI rises by 4 on a base of 100, hence 4% inflation. Real GDP rises by 15 on 500, hence 3% growth. Unemployment is a share of the labour force, giving 0.48/8=0.06 or 6%.
Subtract the targets in percentage points: inflation 4-2=+2, unemployment 6-4=+2 and growth 3-4=-1. These gaps are not percentage changes in the target rates. A 2% inflation target illustrates low general inflation; it does not prohibit relative-price changes or require the price level to fall.
Under the specified demand-pull diagnosis, higher interest rates can discourage credit-financed household and business expenditure, moderating aggregate demand and inflation pressure. Fixed-rate debt, weak pass-through or long lags may weaken the effect; a diagnosis based on a temporary supply disruption would need a different explanation.
For the separate idle-capacity scenario, public purchases create orders, so firms can expand production and hiring rather than only raise prices. The resulting growth and employment effects depend on domestic sourcing and available workers/equipment. No numerical multiplier or exact job response is given or needed.
Training addresses a skills mismatch, while electricity reliability reduces interruptions and can make capital/labour more productive. Neither guarantees immediate employment: suitable vacancies, investment, maintenance and take-up are needed. Select a mechanism after checking the diagnosis; this AS exercise evaluates conditions without requiring the A Level framework of objective conflicts.

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Inflation=(104-100)/100*100=4%, two percentage points above the illustrative 2% target; price stability concerns a low, stable general price-level change, not identical or permanently fixed individual prices.
Unemployment=480000/8000000*100=6%, two percentage points above target; the denominator is the labour force, not total population.
Real GDP growth=(515-500)/500*100=3%, one percentage point below target. This is real growth, not merely a nominal price increase.
For demand-pull inflation, higher borrowing costs can reduce consumption/investment and aggregate demand, easing general price pressure if financial transmission is effective; lags or supply-driven inflation limit this channel.
With idle resources and deficient demand, government purchases raise demand for output and derived labour demand, potentially increasing real output and reducing cyclical unemployment; implementation, import leakage and capacity conditions matter.
Training can reduce skill mismatch and reliable electricity can raise productivity/capacity, supporting structural employment and sustained growth if skills match vacancies and infrastructure is used and maintained.
Request evidence on inflation causes, capacity utilisation, vacancies/skills, borrowing responsiveness and timing rather than assuming one policy must meet every objective immediately. Alternative well-supported mechanisms are acceptable.

Examiner tip

A two-percentage-point target gap is not a 2% relative change. Match policy to the stated cause, not just an unfavourable dashboard number. Indicative self-marking only; independent teacher approval pending. Alternative well-supported reasoning is acceptable; these points are not official Cambridge mark allocations.

Question 3Fictional annual external flows, in billion currency units, are exports of goods/services 80, imports 110, net primary income -4 and net secondary income +6. The government is concerned about a persistent current-account deficit financed through uncertain short-term borrowing. (a) Calculate the starting current balance and explain why stability need not mean a zero balance every year. (b) Consider four independent policy scenarios, each measured against the starting position, not cumulatively: fiscal restraint lowers imports by 8 with exports unchanged; monetary tightening lowers imports by 5 but an associated currency appreciation lowers exports by 4; supply-side investment raises exports by 9 and lowers imports by 3 after a lag; a tariff lowers final-goods imports by 10, but higher imported-input costs raise the remaining import bill by 4 and retaliation lowers exports by 6. For each, calculate the new current balance and explain the policy channel. Hold net income/transfers fixed and take the supplied flow changes as conditional outcomes, not estimated elasticities. (c) Assess which approach offers the most durable adjustment and what evidence could reverse your judgement. Explain why a smaller deficit caused by collapsing domestic demand is not automatically a welfare gain.8 indicative marks

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Fictional annual external flows, in billion currency units, are exports of goods/services 80, imports 110, net primary income -4 and net secondary income +6. The government is concerned about a persistent current-account deficit financed through uncertain short-term borrowing. (a) Calculate the starting current balance and explain why stability need not mean a zero balance every year. (b) Consider four independent policy scenarios, each measured against the starting position, not cumulatively: fiscal restraint lowers imports by 8 with exports unchanged; monetary tightening lowers imports by 5 but an associated currency appreciation lowers exports by 4; supply-side investment raises exports by 9 and lowers imports by 3 after a lag; a tariff lowers final-goods imports by 10, but higher imported-input costs raise the remaining import bill by 4 and retaliation lowers exports by 6. For each, calculate the new current balance and explain the policy channel. Hold net income/transfers fixed and take the supplied flow changes as conditional outcomes, not estimated elasticities. (c) Assess which approach offers the most durable adjustment and what evidence could reverse your judgement. Explain why a smaller deficit caused by collapsing domestic demand is not automatically a welfare gain.

Cambridge 2027: Direct conceptual match

AS current-account stability and four policy channels: explicitly exercises 6.5.1-6.5.2, printed p23 (PDF page 23). The prompt and worked reasoning directly address this registered content section; this is conceptual evidence, not exhaustive leaf coverage or teacher approval.

9708: 6.5: Current-account adjustment

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Add trade, primary income and secondary income: the trade balance is -30, but the current balance is -30-4+6=-28. Borrowing can finance this deficit temporarily without removing the underlying vulnerability to refinancing or foreign-currency obligations.
For fiscal restraint, substitute M=110-8=102 into X-M-4+6 to get -20. Reduced household/public spending may lower imported purchases; the result need not hold if imports are essential or spending cuts are concentrated on domestic output.
For monetary tightening, X=80-4=76 and M=110-5=105, giving 76-105+2=-27. Higher rates can curb spending but can also support currency appreciation. The stipulated export response is an offset, not a universal exchange-rate forecast.
For supply-side investment, X=89 and M=107 give -16 after the lag. More reliable infrastructure, skills or productive capacity may improve cost/quality competitiveness and substitute for imports, but projects may fail or initially require imported equipment. Those possibilities are not quantified by the given eventual scenario.
For protection, M=104 and X=74 give -28. The six-billion net import reduction is exactly matched by the six-billion export reduction, leaving the starting current balance unchanged. This is a conditional example, not a claim that all tariffs have zero effect.
Supply-side change has the largest stated eventual improvement, yet a government facing imminent financing pressure may also need a credible shorter-term response. Compare lags, fiscal capacity, import essentials, unemployment costs and trading-partner reactions. Demand compression may lower imports while reducing output and consumption, so choose a sustainable external position rather than treating any deficit reduction as success. No devaluation, Marshall-Lerner calculation or full financial-account exercise is required for this AS placement.

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The starting current-account balance is 80-110-4+6=-28 billion; a persistent financing vulnerability differs from the accounting requirement that all external transactions have counterpart entries.
Current-account stability concerns a manageable, sustainably financed external position over time, not compulsory annual zero or the largest possible surplus.
Fiscal restraint gives imports 102 and balance -20: lower disposable income/public demand can reduce imports, conditional on spending composition and import responsiveness.
Monetary tightening gives exports 76, imports 105 and balance -27: lower domestic demand may cut imports while appreciation can weaken export competitiveness, offsetting much of the improvement.
Supply-side change gives exports 89, imports 107 and balance -16: improved capacity/quality/cost competitiveness can raise exports or import substitution, conditional on implementation and demand after the lag.
The tariff scenario gives imports 110-10+4=104, exports 74 and balance -28: input costs and retaliation offset the direct final-import reduction in these stipulated figures.
A conditional case for supply-side adjustment uses its 12-billion improvement and potential productive gains, but costs, delays, external demand and execution could favour temporary demand restraint or a different mix.
Evaluate domestic employment/consumption, essential-input availability, financing maturity/currency exposure and partner responses. Current-account improvement is not by itself evidence of higher living standards or guaranteed sustainability.

Examiner tip

Compare independent scenarios with the same baseline, include income/transfers, and count both the direct and offsetting trade effects. Indicative self-marking only; independent teacher approval pending. Alternative well-supported reasoning is acceptable; these points are not official Cambridge mark allocations.

Question 4Fictional country Neris reports inflation 2% (its target), unemployment 5%, real GDP growth 4%, a current-account deficit of 6% of GDP financed mainly by short-maturity foreign-currency borrowing, and emissions rising 8%. Median real household income is unchanged, rural access to safe water is poor and life expectancy has risen from 60 to 61 years. Measured net household wealth totals 200 billion units: the top 10% own 140 billion and the bottom 50% own 10 billion. (a) Construct a seven-objective assessment covering inflation, balance of payments, unemployment, growth, development, sustainability and redistribution of income and wealth; identify which data support concern and which cannot establish success or failure alone. (b) Calculate both wealth shares before and after a hypothetical one-off 10-billion net-wealth transfer from the top group to the bottom group, holding total measured wealth and all other holdings fixed. Explain why this does not establish an identical change in annual income inequality. (c) Assess a package of progressive taxation, rural water/electricity investment and retraining against the objectives. Compare it with a carbon tax with targeted rebates. Give a conditional priority and specify additional evidence that could change it. Neither policy package has a supplied numerical macroeconomic forecast.9 indicative marks

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Fictional country Neris reports inflation 2% (its target), unemployment 5%, real GDP growth 4%, a current-account deficit of 6% of GDP financed mainly by short-maturity foreign-currency borrowing, and emissions rising 8%. Median real household income is unchanged, rural access to safe water is poor and life expectancy has risen from 60 to 61 years. Measured net household wealth totals 200 billion units: the top 10% own 140 billion and the bottom 50% own 10 billion. (a) Construct a seven-objective assessment covering inflation, balance of payments, unemployment, growth, development, sustainability and redistribution of income and wealth; identify which data support concern and which cannot establish success or failure alone. (b) Calculate both wealth shares before and after a hypothetical one-off 10-billion net-wealth transfer from the top group to the bottom group, holding total measured wealth and all other holdings fixed. Explain why this does not establish an identical change in annual income inequality. (c) Assess a package of progressive taxation, rural water/electricity investment and retraining against the objectives. Compare it with a carbon tax with targeted rebates. Give a conditional priority and specify additional evidence that could change it. Neither policy package has a supplied numerical macroeconomic forecast.

Cambridge 2027: Direct conceptual match

A Level objectives: external stability, development, sustainability and distribution: explicitly exercises 10.1.1, printed p31 (PDF page 31). The prompt and worked reasoning directly address this registered content section; this is conceptual evidence, not exhaustive leaf coverage or teacher approval.

9708: 10.1: Advanced macro objectives

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Your response to question 4

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Build the dashboard objective by objective. A 2% inflation observation matches the scenario's target, 4% real growth indicates output expansion, and 5% unemployment is not self-interpreting without its composition. The government aims at low unemployment, not necessarily the removal of all search unemployment.
For the external objective, a current deficit can reflect productive investment or weak competitiveness; its 6% size alone is not decisive. Here short-maturity foreign-currency funding adds a reason to investigate refinancing and exchange exposure. Offsetting financial entries do not mean the position is safe. Development adds access, health and living standards, so rising life expectancy does not cancel rural exclusion or a stagnant median.
Sustainability asks whether future welfare/productive possibilities are maintained, including environmental resources. Emissions rising 8% are a warning, not a complete environmental account. Redistribution asks who receives income and owns wealth: the supplied wealth holdings do not measure the annual income distribution.
Initially, 140/200=70% and 10/200=5%. The bookkeeping transfer changes the group stocks to 130 and 20, hence 65% and 10%. The other groups retain 50 billion, so 130+20+50=200. This is a no-response illustration; actual asset prices, avoidance, returns and tax design could alter outcomes.
The investment/retraining package can target service deprivation and productive constraints while progressive taxation finances services or transfers. Durable benefits require efficient procurement, maintenance, suitable courses and vacancies. A pollution charge with rebates targets an environmental cost more directly but may raise some prices and require protection for vulnerable households; substitutes and enforcement affect its success.
A defensible conclusion distinguishes urgency and horizon: financing risk may need immediate attention, whereas basic services, skills and environmental adjustment need sustained delivery. If borrowing funds high-return projects on manageable terms or unemployment mainly reflects a demand slump, the preferred emphasis could change. Request debt maturity/currency data, emissions levels/intensity, income and wealth distributions, vacancy evidence and project costs. Alternative priorities earn credit when they explicitly weigh these seven objectives rather than merely naming policies.

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Inflation meets the stipulated target, but one observation cannot establish durable price stability; 5% unemployment needs evidence on involuntariness, skills, duration and participation rather than an invented universal zero target.
Real growth of 4% records expanding output, but unchanged median income and poor rural water access show why growth alone does not establish broad development; the one-year life-expectancy increase is relevant but incomplete evidence.
The deficit and short-maturity foreign-currency financing raise external sustainability concerns; the balance of payments includes more than the current account and an accounting offset does not remove refinancing/currency risk.
Rising emissions raise sustainability concerns, although levels, output composition and natural-capital effects are also needed to judge the feasible future development path.
Initial wealth shares are 70% for the top 10% and 5% for the bottom 50%; after the transfer they are 65% and 10%, respectively, with total wealth unchanged.
Distinguish a wealth stock from annual income flows. The transfer reduces this measured wealth concentration, but no annual income distribution, behavioural response or general welfare ranking follows automatically.
Progressive taxation can fund redistribution; water/electricity investment can improve health/access and capacity, and retraining can address unemployment if suitable jobs exist. Explain implementation, take-up, funding and time-lag conditions rather than asserting all objectives improve.
A carbon tax can discourage emissions and fund targeted rebates, but short-run living costs and low-income energy needs matter; effective design depends on substitutes, monitoring and rebate coverage.
Give a justified conditional priority, such as urgent external-risk management alongside targeted basic-service investment, and consider an alternative when evidence shows different unemployment, pollution or financing causes. Targets and weights involve value judgements; neither package has a calculated growth/inflation payoff here.

Examiner tip

An accounting balance of payments is not proof of external stability, and growth, development, income distribution and wealth distribution are not interchangeable indicators. Indicative self-marking only; independent teacher approval pending. Alternative well-supported reasoning is acceptable; these points are not official Cambridge mark allocations.

Question 5Original fictional comparison: Arda starts a year with 10 million people, 300000 live births, 100000 deaths and net migration -50000. There are 12000 deaths before age one per 300000 live births in the supplied illustrative infant-mortality measure. Arda's age shares are under 15: 35%, ages 15-64: 60%, ages 65+: 5%; Belen's are 20%,60%,20%. Urban shares are 40% and 80%; employment shares in primary/secondary/tertiary sectors are 55/15/30% and 5/25/70%. Arda's exports are predominantly unprocessed commodities; Belen's are mainly diversified manufactures/services. Their grouped Lorenz coordinates at cumulative population shares 0,20,40,60,80,100% have cumulative income shares Arda: 0,5,15,30,55,100%; Belen: 0,10,25,45,70,100%. (a) Using Arda's start-year population as the denominator, calculate birth, death and net-migration rates per 1000 and annual population growth. Calculate the supplied infant-mortality rate per 1000 live births. Explain one possible cause of change in each rate. (b) Calculate young-plus-old dependency ratios for both, using ages 15-64 as the denominator, and compare their implications alongside urbanisation. (c) Draw both Lorenz curves with an equality line and estimate each Gini coefficient as 1 minus twice the area under its curve, using straight lines between the given coordinates on 0-to-1 axes. (d) Analyse sectoral employment and trade differences as characteristics associated with development. (e) Explain optimum population and assess whether these data prove that either country has reached it or that every resident of one enjoys a higher living standard. Treat all data as illustrative, not as causal estimates or a universal development ranking.9 indicative marks

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Original fictional comparison: Arda starts a year with 10 million people, 300000 live births, 100000 deaths and net migration -50000. There are 12000 deaths before age one per 300000 live births in the supplied illustrative infant-mortality measure. Arda's age shares are under 15: 35%, ages 15-64: 60%, ages 65+: 5%; Belen's are 20%,60%,20%. Urban shares are 40% and 80%; employment shares in primary/secondary/tertiary sectors are 55/15/30% and 5/25/70%. Arda's exports are predominantly unprocessed commodities; Belen's are mainly diversified manufactures/services. Their grouped Lorenz coordinates at cumulative population shares 0,20,40,60,80,100% have cumulative income shares Arda: 0,5,15,30,55,100%; Belen: 0,10,25,45,70,100%. (a) Using Arda's start-year population as the denominator, calculate birth, death and net-migration rates per 1000 and annual population growth. Calculate the supplied infant-mortality rate per 1000 live births. Explain one possible cause of change in each rate. (b) Calculate young-plus-old dependency ratios for both, using ages 15-64 as the denominator, and compare their implications alongside urbanisation. (c) Draw both Lorenz curves with an equality line and estimate each Gini coefficient as 1 minus twice the area under its curve, using straight lines between the given coordinates on 0-to-1 axes. (d) Analyse sectoral employment and trade differences as characteristics associated with development. (e) Explain optimum population and assess whether these data prove that either country has reached it or that every resident of one enjoys a higher living standard. Treat all data as illustrative, not as causal estimates or a universal development ranking.

Cambridge 2027: Direct conceptual match

A Level development characteristics: population, distribution and structure: explicitly exercises 11.4.1-11.4.3, printed p33 (PDF page 33). The prompt and worked reasoning directly address this registered content section; this is conceptual evidence, not exhaustive leaf coverage or teacher approval.

9708: 11.4: Development characteristics

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Use 10 million consistently for the stipulated crude annual rates: births 300000/10000000*1000=30, deaths 10 and net migration -5 per 1000. Natural increase is 200000, and migration reduces total growth to 150000. Dividing by 10 million gives 1.5%; the year-end population in this simple accounting model is 10.15 million. The infant rate instead uses live births: 12000/300000*1000=40.
Birth rates can change with access to contraception, education or fertility preferences; death rates can change with healthcare or age structure; infant mortality may respond to sanitation, nutrition and maternity care; net migration can respond to jobs, safety and entry rules. These are hypotheses, not effects identified from one year's totals. A crude death rate can rise through ageing despite better health.
Arda's young-plus-old share is 35+5=40%, and Belen's is 20+20=40%; each divided by 60% gives 2/3, or about 66.7 per 100. Arda has about 58.3 young and 8.3 old dependants per 100 working-age residents; Belen has about 33.3 of each. Working age is a demographic category, not proof that everyone works or that every older person is economically dependent.
Plot each supplied cumulative pair on 0-to-1 axes and join adjacent points. Draw y=x as perfect equality. Arda's lower interior coordinates show greater inequality in this grouped comparison. Trapezoid areas for Arda are 0.005+0.020+0.045+0.085+0.155=0.310; for Belen they are 0.010+0.035+0.070+0.115+0.170=0.400. Therefore Gini estimates are 1-2(0.310)=0.380 and 1-2(0.400)=0.200. Do not enter 20 instead of 0.20 in this formula.
Compare structures, not stereotypes. More primary employment and concentrated commodity exports can increase weather/price vulnerability; diversified tradable production may support resilience, but high-value agriculture and low-productivity services are possible counterexamples. Urban concentration can support specialisation and infrastructure access while straining housing and services. Shares alone do not measure output per worker, export value added or household welfare.
Optimum population is conditional on resources, capital and technology and concerns maximum average output/income, not maximum total output. No production-resource relationship is supplied, so neither country can be located relative to that optimum. Even a higher national average would not establish higher welfare for every resident. Use the demographic and Lorenz evidence alongside missing health, education, real-income and environmental information; grouped linear interpolation limits the precision of the Gini comparison.

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For Arda, birth rate=30, death rate=10 and net-migration rate=-5 per 1000 people; total annual change is 150000 people, or 1.5% of the starting population.
The supplied infant-mortality rate is 12000/300000*1000=40 per 1000 live births, not per 1000 total residents; explain distinct possible causes such as fertility preferences/access, health provision, infant sanitation and job-related migration.
Both dependency ratios are (40/60)*100=66.7 dependants per 100 working-age people, but Arda's dependency is mostly young and Belen's is more evenly split between young and old.
Youth-heavy dependency may increase schooling needs while ageing increases pension/care needs; age categories do not reveal actual employment or support. Higher urbanisation may reflect agglomeration/jobs but also congestion, housing pressure and informal employment.
Plot cumulative population against cumulative income, with both curves running from (0,0) to (1,1) below the equality line. At every interior supplied population share Arda's curve is below Belen's, indicating greater grouped income inequality.
With linear interpolation, Lorenz areas are 0.310 for Arda and 0.400 for Belen, giving estimated Gini coefficients 0.380 and 0.200. Grouping conceals within-group inequality, so these are not exact individual-data Ginis.
Arda's large primary-employment share and commodity exports may expose income to price/weather shocks; Belen's more diversified manufacturing/services pattern may reflect structural transformation, skills and market access, but sector labels do not establish productivity or job quality.
Explain that optimum population maximises output or income per person for given resources, technology and capital; it is not automatically the smallest population, zero growth or the highest total GDP.
Neither population totals nor dependency ratios identify that optimum without a population-productivity relationship and resource information. Development judgements also need health, education, real income, distribution, environmental conditions and comparable measurement; allow alternative reasoned evaluations without a deterministic country ranking.

Examiner tip

Infant mortality uses live births as its denominator. Equal total dependency ratios can hide different age needs, and Lorenz coordinates must be proportions for the area calculation. Indicative self-marking only; independent teacher approval pending. Alternative well-supported reasoning is acceptable; these points are not official Cambridge mark allocations.

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