cape economics unit 1 2004 paper 2

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7/21/2019 CAPE Economics Unit 1 2004 Paper 2 http://slidepdf.com/reader/full/cape-economics-unit-1-2004-paper-2 1/5 Price ofGood Y1 c) Indifference Curve for Movies and Milk EDWARDBAHAW CAPE ECONOMICSPASTPAPERSOLUTIONS  Price of GoodX Theconsumer’s income  There are aninfinite rangeof indifference curves on the same set of axes which is known as anindifference map. Each curve to theright shows consumptionbundles which has ahigher preference by the consumer. 1 bi) TheBudget LineThebudget lineshows alltheconsumptionbundles or combination of Good Xand GoodYwhich can be afforded by theconsumer’s income. 1 bii) Informationneeded to drawa budget line:  An indifferencecurve slopes downward fromleft to right. That is it has a negative slope. This slope measures the rate at which theconsumer is willing to substitute Good X for Good Ysoas to leave satisfaction unchanged. This is called the marginal rate of substitution. June 2004 –Unit 1 –Paper 2 1a i) TheIndifference Curve An indifference curves shows a consumer’s preference for various combinations of goods andservices in theconsumer choice framework. For simplicity the framework assumes that there are only two goods which theconsumer consumes: Good Xand GoodY. Each indifference curve shows all possible combinations of GoodX and Good Ywhichyield the same level of satisfaction to the individual consumer. 1 a ii) Two characteristics of IndifferenceCurve 3. EDWARDBAHAW CAPEECONOMICSPASTPAPERSOLUTIONSMovies 40E16O12 20 Milk 1d) Income and SubstitutionEffect Thesubstitution effect froma decrease in the price of milk refers to the increase in consumption of milk and the decrease in consumption of movies as the consumer buys more of the former for less of thelatter. In other words theconsumer substitute more milk for less movies as the relative priceof milk declines. The income effect froma decreasein the price of milk refers to the increaseconsumption of milk as well as movies as the purchasingpower of income increases. This occurs as the declinein the price of milk enables to consumer to afford more of both goods. Movies 40 E2 18.7 E1 1612 O 30 12 1316 20 Milk Sub Income Effect Effect EDWARDBAHAW CAPEECONOMICSPASTPAPERSOLUTIONS 4. EDWARDBAHAW CAPEECONOMICSPASTPAPERSOLUTIONSInthefigure, the total increase in consumption of milk is 4liters. This can be decomposed into the increase due to the substitution effect of 1 liter and the increasedue to the income effect of 3 liters. 2 a) Labour Output VCFCTCAVCATCMC0 0 0 25 25 ∞∞na 6. 12. 1 4 25 25 50 3 5 6.25 5. 7. 2 10 50 25 75 0 5 4.17 5. 7. 3 13 75 25 1008 78.336. 8. 4 15 10025125 73 12.507. 9. 5 16 12525150 84 25.002 bi) Average Total Cost EDWARDBAHAW CAPEECONOMICSPASTPAPERSOLUTIONS 5. EDWARDBAHAW CAPEECONOMICSPASTPAPERSOLUTIONS$ ATCAVCAFCQ where ATC= average total cost AVC=average variable cost AFC=average fixed cost 2 bii) Shape of theAverage Total Cost Curve SinceATC= AFC+ AVC, theshapes of both of these curves must be explained. AFCfall continuously as output increases since fixed cost are spreadover a larger volume of output. AVCfirst decreases in the short run fromincreases productivity fromthe variable factor but eventually increases due to diminishing returns. ATCfirst decreases due to both declining AFCand AVCbut eventually rises due to rising AVCas aresult of diminishing returns. 2 b iii) Marginal Cost EDWARDBAHAW CAPEECONOMICSPASTPAPERSOLUTIONS 6. EDWARDBAHAW CAPEECONOMICSPASTPAPERSOLUTIONS$ ACMCACis Productive ACis fallingas Optimum risingas MC<ACMC> ACQOQuantity 2 biv) Relationship

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Page 1: CAPE Economics Unit 1 2004 Paper 2

7/21/2019 CAPE Economics Unit 1 2004 Paper 2

http://slidepdf.com/reader/full/cape-economics-unit-1-2004-paper-2 1/5

• Price of Good Y 1 c) Indifference Curve for Movies and Milk EDWARD BAHAW CAPE

ECONOMICS PAST PAPER SOLUTIONS Price of Good X The consumer’s income There are

an infinite range of indifference curves on the same set of axes which is known as an indifference

map. Each curve to the right shows consumption bundles which has a higher preference by the

consumer. 1 b i) The Budget Line The budget line shows all the consumption bundles or combination

of Good X and Good Y which can be afforded by the consumer’s income. 1 b ii) Information needed

to draw a budget line: An indifference curve slopes downward from left to right. That is it has a

negative slope. This slope measures the rate at which the consumer is willing to substitute Good X

for Good Y so as to leave satisfaction unchanged. This is called the marginal rate of substitution.

June 2004 – Unit 1 – Paper 2 1 a i) The Indifference Curve An indifference curves shows a

consumer’s preference for various combinations of goods and services in the consumer choice

framework. For simplicity the framework assumes that there are only two goods which the consumer

consumes: Good X and Good Y. Each indifference curve shows all possible combinations of Good X

and Good Y which yield the same level of satisfaction to the individual consumer. 1 a ii) Two

characteristics of Indifference Curve

• 3. EDWARD BAHAW CAPE ECONOMICS PAST PAPER SOLUTIONS Movies 40 E 16 O 12

20 Milk 1 d) Income and Substitution Effect The substitution effect from a decrease in the price of

milk refers to the increase in consumption of milk and the decrease in consumption of movies as the

consumer buys more of the former for less of the latter. In other words the consumer substitute more

milk for less movies as the relative price of milk declines. The income effect from a decrease in the

price of milk refers to the increase consumption of milk as well as movies as the purchasing power of

income increases. This occurs as the decline in the price of milk enables to consumer to afford more

of both goods. Movies 40 E2 18.7 E1 16 12 O 30 12 13 16 20 Milk Sub Income Effect Effect

EDWARD BAHAW CAPE ECONOMICS PAST PAPER SOLUTIONS

• 4. EDWARD BAHAW CAPE ECONOMICS PAST PAPER SOLUTIONS In the figure, the total

increase in consumption of milk is 4 liters. This can be decomposed into the increase due to the

substitution effect of 1 liter and the increase due to the income effect of 3 liters. 2 a) Labour Output

VC FC TC AVC ATC MC 0 0 0 25 25 ∞ ∞ na 6. 12. 1 4 25 25 50 3 5 6.25 5. 7. 2 10 50 25 75 0 5 4.17

5. 7. 3 13 75 25 100 8 7 8.33 6. 8. 4 15 100 25 125 7 3 12.50 7. 9. 5 16 125 25 150 8 4 25.00 2 b i)

Average Total Cost EDWARD BAHAW CAPE ECONOMICS PAST PAPER SOLUTIONS

• 5. EDWARD BAHAW CAPE ECONOMICS PAST PAPER SOLUTIONS $ ATC AVC AFC Q

where ATC = average total cost AVC = average variable cost AFC = average fixed cost 2 b ii) Shape

of the Average Total Cost Curve Since ATC = AFC + AVC, the shapes of both of these curves must

be explained. AFC fall continuously as output increases since fixed cost are spread over a largervolume of output. AVC first decreases in the short run from increases productivity from the variable

factor but eventually increases due to diminishing returns. ATC first decreases due to both declining

AFC and AVC but eventually rises due to rising AVC as a result of diminishing returns. 2 b iii)

Marginal Cost EDWARD BAHAW CAPE ECONOMICS PAST PAPER SOLUTIONS

• 6. EDWARD BAHAW CAPE ECONOMICS PAST PAPER SOLUTIONS $ AC MC AC is

Productive AC is falling as Optimum rising as MC < AC MC > AC QO Quantity 2 b iv) Relationship

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Between Average Total Cost and Marginal Cost Average total cost is neither rising nor falling when

marginal cost is identical to average cost. This point is the minimum point on the average total cost

curve. This is because average total cost would rise when marginal cost is higher than the current

level of average total cost. Average total cost would fall if marginal cost is below the average total

cost of all previous units of output produced. Conclusively at the point of intersection between the

ATC and MC curve, average total cost is at a minimum. 2 c i) The supply curve of Shirts EDWARD

BAHAW CAPE ECONOMICS PAST PAPER SOLUTIONS

• 7. EDWARD BAHAW CAPE ECONOMICS PAST PAPER SOLUTIONS P ($) S $6 $5 S 20 25

Quantity of Shirts 2 c ii) Price Elasticity of supply 5 100 × % QS 20 1 25% PES = = = =1.25 % P 1∆ ∆

100 20% × 5 1 2 c iii) Increase in Supply of Shirts Every 10 percent increase in the price of shirts

results in a 12.5 percent increase in quantity supplied. 3 a i) Level of output at a price of $15 At a

price of $15, the firm would produce 35 units of output. This is because profit would be maximized at

this point as marginal revenue of $15 would be equal to marginal cost of $15. If for some reason the

firm was producing an output level below 35 then it would be able to earn more profits by increasing

output as marginal revenue would be greater than marginal cost. If the firm produces any outputabove 35 units, then it would incur losses on such units as marginal revenue would be less than

marginal costs. Thus profit would be maximized at an output level of 35. 3 a ii) Level of output at a

price of $10 At a price of $10, the firm would produce 0 units in neither the short run nor long run.

This is because at this price level, AR < AC which means a loss would be incurred. As such the firm

would not produce any output at this price over the long run. In the short EDWARD BAHAW CAPE

ECONOMICS PAST PAPER SOLUTIONS

• 8. EDWARD BAHAW CAPE ECONOMICS PAST PAPER SOLUTIONS run at a price of $10

which is equal to AVC the firm would cease to produce as well. This is because if it produced output

(25 units) or not (0 units) it would incur a loss equivalent to its fixed cost. In such a case a firm would

choose to produce zero units. 3 b) Normal or Zero Economic Profit Normal profit would be earned at

a price of $15. This is because at this price level, AR = AC which means the firm would generate just

enough revenue to cover all its production costs. Such production costs arise from the payments

made to the four factors of production which are wages, rent, interest and normal profit. Here the

firm’s total revenue would be $525 and its total cost which includes normal profit would also be $525.

Any price above $15 would enable the firm to earn enough revenue to more than cover is production

cost leaving a surplus or abnormal profit. 3 c i) Increase in Demand under perfect Competition in the

short run If demand increases, then price would rise and existing firms in the industry would earn

abnormal profits in the short run. Panel A shows the increase in demand for the good from D1 to D2

which leads to an increase in price from P1 to P2. As such firms face a new AR curve as shown by

AR2 = MR2 in Panel B. At this price level, abnormal profit is earned as AR>AC. 3 c ii) Increase in

Demand under perfect Competition in the long run As there is freedom of entry in the long run, new

firms would enter the industry and this would lead to an increase in supply. Price would fall and all

abnormal profits would be eliminated which is where equilibrium in the industry is restored. Panel A:

Market Price Panel B: The Individual Firm $ $ D2 AC MC D1 S1 S22 P2 MR2= AR2 P1 MR1= AR1

D2 S1 D1 S22 Q1 Q2 Q Q EDWARD BAHAW CAPE ECONOMICS PAST PAPER SOLUTIONS

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• 9. EDWARD BAHAW CAPE ECONOMICS PAST PAPER SOLUTIONS This is shown by the

increase in supply in Panel A from S1 to S2 which leads to a fall in price back to P1. As such the AR

curve which firms face return to its initial position as shown by AR1 = MR1 in Panel B. At this price

 just normal profit is earned as AR = AC. 4 a i) Natural Monopoly and Average Total Cost An industry

with a long run average total cost (ATC) which is falling even after demand is met is know as a

"natural monopoly". Such industries are characterized by the existence of high fixed cost of the

capital goods especially. This is shown in the figure by the continuous downward sloping shape of

the ATC curve over the range of the market demand. Furthermore MC is consistently below ATC

which also accounts for the downward slope of the ATC. ii) Natural Monopoly and Supply and Cost

With natural monopolies it is feasible for one firm only to supply the entire market in order to spread

the fixed cost over a large volume of output. In other words, there is a natural reason for this industry

being a monopoly as more than one smaller scale firms would be less efficient than the natural

monopolists. If two or more firms attempted to supply the product each firm would have a market

share of less than 100 percent and average total cost would be higher relative to if just one firm

supplies the entire market. In the figure if 1 firm supplied 2 units of output to the market, the average

total cost would be $5. If 2 firms each supplied 1 unit to the market then average total cost would be$6. 4 b) Unregulated Output by a Natural Monopoly i) Output = 2000 units ii) Price = $6 per unit iii)

Average total cost = $5 per unit iv) Marginal cost = $2 v) Profit = $2000 4 c) Natural Monopoly and

Inefficiency In the absence of externalities the allocative efficient level of output occurs where P =

MC which corresponds to 4000 units. Since the firm only produces 2000 units, it means the product

is under produced an inefficient from society’s point of view. As such a welfare loss is incurred onto

society. 4 d) Problem faced by Natural Monopoly where P = MC At the output level where price is

equal to marginal cost ATC> AR. This means the firm would incur a loss and not be able to cover all

of its costs. Any private firm would cease to produce in this situation. 4 e i) Unregulated Output with

Negative Externality EDWARD BAHAW CAPE ECONOMICS PAST PAPER SOLUTIONS

• 10. EDWARD BAHAW CAPE ECONOMICS PAST PAPER SOLUTIONS Unregulated output

is 250 units per month as this is where demand is equal to supply. Demand is given by marginal

social benefit as there are no positive externalities. Supply is given by marginal private costs. 4 e ii)

Negative Externality and Allocative Inefficiency The efficient level of output occurs where MSC =

MSB which corresponds to 150 units per week. Thus the output of 250 represents overproduction

which results in a welfare loss from the allocatively inefficient level of output. This occurs as the

private firm does not take into consideration negative externalities as it has no obligation to pay these

spills over cost. 4 e iii) Marginal Social Costs and Marginal Social Benefits MSC (marginal social

cost) gives the increases in cost faced by society from the production of one more units of the

product, while MSB (marginal social benefit) gives the increase in benefits derived by society from

the consumption of one more unit of the product. 4 e iv) Tax to be imposed by the Environmental

Protection Agency A tax of $100 per unit. 4 e v) Output after tax is imposed Output would decline to

150 units per month. 4 e vi) Price after Tax is Imposed Price would rise to $200 per unit. 5 a)

Equilibrium Wage Rate in the Labour Market In the figure, the construction industry’s demand for

labour is shown by D L and the industry’s supply of labour is shown by SL. Overall, the labour market

attains equilibrium at point E where a single equilibrium wage rate WL exists throughout the

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construction industry. The number of workers employed is QL. Labour Market in the Construction

EDWARD BAHAW CAPE ECONOMICS PAST PAPER SOLUTIONS

• 11. EDWARD BAHAW CAPE ECONOMICS PAST PAPER SOLUTIONS W ($) DL SL WL SL

DL QL Quantity of Labour in the Construction 5 b) Equilibrium Quantity of Labour in Construction

Market 5b) All other variables held constant, as the demand for housing increases, the price of newhomes would rise and this would encourage more construction. In response the demand for

construction workers would rise since the demand for a factor of production is a derived demand.

The figure shows the increase in the demand for construction workers from DL1 to DL2 which would

result in an increase in the wages earned by construction workers from WL1 to WL2. W ($) DL1 DL2

SL WL2 WL1 DL2 SL DL1 QL1 QL2 Quantity of Labour in the Construction 5 c i) Trade Union Wage

Rate Labour is Supplied Monopolistically by a Trade Union but demanded competitively EDWARD

BAHAW CAPE ECONOMICS PAST PAPER SOLUTIONS

• 12. EDWARD BAHAW CAPE ECONOMICS PAST PAPER SOLUTIONS W ($) DL SL Trade

WU Union Wage WL SL DL Q1 QL Q2 Quantity of Labour in the Construction In the figure the trade

union wage rate is shown by Wu. 5 c ii a) Effect of Trade union wage on the demand for construction

workers The quantity of construction workers demanded would decline at the higher trade union

wage rate from QL to Q1. 5 c ii b) Effect of Trade union wage on the number of workers employed

The number of workers employed would decline from QL to Q1. 5 c ii c) Effect of Trade union wage

on the number of workers supplied The number of workers supplied at the higher trade union wage

rate would increase from QL to Q2. 5 d) Before Trade Union After Trade Union i) Wage Bill Higher

Lower ii) Employment Level Higher Lower iii) Unemployment Level Lower Higher 6 a i) Poverty Line

In general, poverty refers to a state of deprivation by individuals. There are two ways of measuring

such deprivation. The poverty line, is the minimum level of income deemed necessary to achieve an

adequate standard of living. Determining the poverty line is usually done by finding the total cost of

all basic goods that an average household consumes. EDWARD BAHAW CAPE ECONOMICS PAST

PAPER SOLUTIONS

• 13. EDWARD BAHAW CAPE ECONOMICS PAST PAPER SOLUTIONS 6 a ii) Absolute

poverty This measures the actual number of people within an economy who are unable to afford

certain basic goods and services such as food and shelter. This occurs simply because their income

is below the poverty threshold, or poverty line. According to the United Nations development

program, the poverty line is US$2 per day and all individuals with an income below this threshold are

absolutely poor. 6a iii) Relative Poverty This measures the extent to which a household's financial

resources falls below the average income level of the economy. For instance, if the average level of

income in a country is US$10,000 per annum then an individual who earns $US6,000 per annumwould be classified as relatively poor as he falls below this relative power line. Clearly a person, who

is classified as relatively poor, may not be absolutely poor. 6 b ) Influence on Household Income i)

Education. The different levels of education attained by different members of household would result

in individuals with more education earning a higher level of income. ii) Size of the household. A

household with a large number of dependents would definitely face challenges as income earned by

the parents would have to be shared to meet the needs of all members of the family. iii) Marital

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status. A married couple household may experience earn a higher level of income compared to

unmarried couple or even single parent headed households. iv) Age. If the household is an extended

family with grandparents living in the same residents then income is likely to be uneven as the elderly

may rely on income from pension which may be small relative to the income earned by other

members of the household. v) Location. Household located in rural areas may be faced with low

income levels as there may be less job opportunities in those areas relative to the suburbs and the

urban areas. 6 c i) Moral hazard This occurs when there are hidden actions or morally hazardous

behaviour on the part of one party in a transaction due to asymmetric information. This particularly

applies to the insurance industry. If Joan establishes a fire insurance policy then losses would be

covered in the event of fire damage to her property. Moral hazard occurs in this type of transaction

where the individual does not necessarily intentionally sets fire to the property but may take fewer

steps to prevent fires. This is because they would have the piece of mind that all loss would be fully

covered. If insurance companies were able to monitor the actions of every single insured person,

then morally hazardous behaviour would be EDWARD BAHAW CAPE ECONOMICS PAST PAPER

SOLUTIONS

• 14. EDWARD BAHAW CAPE ECONOMICS PAST PAPER SOLUTIONS prevented. Since

insurance providers cannot do this, these actions remain hidden resulting in greater risk and high

insurance claims and hence a misallocation of resources. 6 c ii) Adverse selection This occurs when

the asymmetric information arises from a hidden attribute about a good or service results in a

suboptimal decision on the part of one party. If Mark buys an expensive health insurance policy then

all his medical cost would be covered. Typically people who buy insurance often have a better idea of

the risks they face than do the insurance companies as they would have a better idea about the

health risk they face. As a result insurance companies may be faced with greater claims which

reduce profitability. In other words asymmetric information causes the insurance company to make a

suboptimal decision and hence there is a misallocation of resources. 6 d i) Conclusions from the Gini- Coefficient Taxation results in a decrease in the gini-coefficient. That is taxation result in a less

uneven distribution of income. This occurs when the tax structure is progressive. 6 d ii) Lorenz Curve

Y (%) 100% After Tax Before tax 100% Population (%) 6 d iii) Computation of the Gini coefficient The

Gini coefficient is calculated as follows: EDWARD BAHAW CAPE ECONOMICS PAST PAPER

SOLUTIONS

• 15. EDWARD BAHAW CAPE ECONOMICS PAST PAPER SOLUTIONS A 100 Gini

Coefficient = × A+ B 1 where as shown in the figure A is the area between the line of absolute

equality and the Lorenz curve B is the area between the Lorenz curve and the line of absolute

inequality Y (%) 100% Line of Absolute Equality A B 100% Population (%)