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SOLUTION: ECONOMICS, MAY 2014 SOLUTION 1 (a) (i) A production possibilities curve shows the maximum combinations of two goods that could be produced in a given time period with available resources and technology. (ii) Opportunity cost refers to the most desired goods and services that are forgone in order to obtain something else with the same amount of resources. Figure 1. A Production Possibility Curve (b) Units of Capital Goods A j B C i X X h X X X g X X 0 *K D X E X a b c The curve AF shows a production X possibilities curve X X (PPC). dX F Units of Consumer Goods X X (i) Point K in the diagram shows that given all its productive resources and technology the economy cannot attain that output combination. This illustrates that resources are scarce. The economy is limited to points on the production possibility curve. Also if the society decides to move from point B to point C, the society has to sacrifice ih of capital goods for ab of consumer goods because the society’s resources are scarce so more of consumer goods implies less of capital goods. (ii) Any point on the PPC such as B, C etc. are attainable and represent a variety of output choices. Point B on the PPC, for example, indicates that the economy can produce oa and oj of consumer goods and capital goods respectively. The economy can decide or choose to be at point C producing ob of consumer goods and oi of capital goods. SOLUTION: ECONOMICS, MAY 2014 (iii) Any choice by the economy to have more of one good involves opportunity cost. If the economy chooses to produce more consumer goods then it must reduce the production of capital goods. For example, if the economy increases its production of consumer goods from oa (point B) to ab (point C) then it must give up ji of capital goods. The opportunity cost of having more consumer goods (ab) is the (ji) of capital goods forgone. SOLUTION 2 (a) (i) MR = Δ𝑇𝑅 Δ𝑄 TR1 – TR Q1 – Q0 = 11 – 0 = 11 1–0 20 – 11 = 9 2–1 27 – 20 = 7 3–2 32 – 27 = 5 4–3 35 – 32 = 3 5–4 (ii) MC = Δ𝑇𝐶 Δ𝑄 TC1 – TC0 Q1 – Q0 = 17 – 10 = 7 1–0 18 – 17 = 1 2–1 21 – 18 = 3 3–2 30 – 21 = 9 4–3 48 – 30 = 18 5–4 SOLUTION: ECONOMICS, MAY 2014 (b) (i) The fixed cost is GH¢10. The firm incurs fixed cost only when output is zero. (ii) When output is 3 tons the TVC equals GH¢11.0 (i.e. TC – TFC = 21 – 10 = 11) (c) An imperfect (e.g. monopolistic competition, monopoly etc.) market because to sell more the firm has to reduce price. (d) No, because the two conditions for maximizing profit have not been achieved i.e. MC = MR and MC must cut the MR from below. SOLUTION 3 (a) The individual consumer is in equilibrium if the marginal utility of the commodity equals the marginal utility of price or the marginal significance of price. This condition is represented in the form of an equation below: MU1 = 𝝀P1 The equilibrium condition above goes with a certain level of purchases of commodity “X” which is represented by Q1. Suppose there is a fall in the price of commodity “X” from P 1 to P2 other things being equal. This leads to a situation of disequilibrium if the consumer maintains his consumption at Q1. This is shown below: MU1 > 𝝀P2 The implication of this is that the marginal utility derived from consuming commodity “X” in the face of the fall in price of commodity “X” is now greater than the marginal utility of price or the marginal significance of price. For equilibrium to hold the marginal utility of the commodity should fall by the same proportion. But for the MU1 to fall to MU2 the law of diminishing marginal utility requires that more of the commodity should be consumed. In this situation, the individual consumer will buy more of commodity “X”. In the process, the marginal utility of the commodity to the individual diminishes from MU1 to MU2 until equilibrium is restored. This analysis gives us the second equilibrium of the consumer depicted below: MU2 = 𝝀P2 SOLUTION: ECONOMICS, MAY 2014 Again, the new consumer equilibrium requires a level of purchases of “X” greater than Q1 denoted as Q2. The demand curve is negatively sloped because the consumer experiences diminishing marginal utility. From the analysis above as the price falls the consumer’s equilibrium is disturbed. He consumes more of the commodity and experiences diminishing marginal utility depicting an inverse relationship between price and quantity demanded. (b) An increase in the daily minimum wage will be expected to increase consumer’s income. For a normal good, as consumers’ income increase demand for a normal good will increase. This will shift the demand curve to the right as depicted in the diagram below: P S1 E2 P2 E1 P1 A D1 0 Q 1 Q2 D2 Q In the diagram, the increase in the daily minimum increases demand from D1 to D2. Holding supply constant, this produces shortage at 0P1. The equilibrium price and quantity increase to 0P2 and 0Q2 respectively. SOLUTION 4 (a) It shows the maximum combinations of two goods that we can obtain from a given amount of inputs given a particular state of technology. (b) (i) Two products are produced. (ii) A given quantity of factors of production that are fully used (iii) The best technologies available are employed in the production of the two products. SOLUTION: ECONOMICS, MAY 2014 (c) The efficient allocation attainable production points are point A, B, R and Z in this context. (d) These points are point of efficiency. Efficiency is achieving as much output as possible from a given amount of inputs or resources. In other words, productive efficiency is attained when the maximum possible output of one good is produced, given the output of the other goods. When resources are efficiently allocated, it is not possible to have more of one good without reducing the production of the other good. For example, if the society were to move from point A to point R, the production of cocoa has to be reduced as a cost of increasing the production of yam because there are no idle resources or the economy is in full employment. (e) The curve depicts increasing opportunity cost because it is concave to the origin. As transformation increase opportunity cost also increases. (f) Cocoa per time A/ A 0 B B/ Yam per time SOLUTION 5 (a) (i) Balance of payment is a statement of the money value of all transactions between a country and the rest of the world during a given period, such as one year. (ii) The balance of payments may be classified into three categories namely the current account, the capital account, the balancing item. SOLUTION: ECONOMICS, MAY 2014 (b) (i) The balance of payments is said to be in surplus if the total receipts from the transactions exceed total payments. (ii) It is in deficit if total payments exceed total receipts from the transactions. (c) Some of the fiscal measurement that can be taken to correct persistent balance of payment deficits are: (i) Increasing the level of income tax in order to reduce disposable income. (ii) Increasing taxes on imported consumer goods in order to discourage the consumption of imported goods. (iii) Reducing the level of taxes on imported raw materials and capital goods so as to lower the cost of domestic production for export and consumption. (iv) Reducing export tax (v) Reducing excise duty on export related activities (vi) Subsidize export production for example by providing information on demands of trading partners. SOLUTION 6 (a) (i) GDEM = C + I + G + X – M = 1400 + 1200 + 1500 + 1150 – 1230 = 4020 million (ii) GNEM = GDEM + Net Property Income = 4020 – 1200 = 2820 million (iii) NNEM = GNEM – Depreciation = 2820 – 150 = 2670 million (iv) NNEF = NNEM – Indirect Business Tax + Subsidies = 2670 – 180 +120 = 2610 million SOLUTION: ECONOMICS, MAY 2014 (b) (i) A good deal of estimates of private consumption relies on population. In addition, the reliability of the estimates depends on regular household surveys that may be a very expensive venture. (ii) Difficulties in estimating exports and imports values: under invoicing and over invoicing of imports and exports makes it extremely difficult to determine the actual value of net exports. This problem tends to grossly understate or overstate the national income statistics. iii) Multiple counting: This occurs when a unit of expenditure is counted more than once. To eliminate this, only expenditure on final output is counted. For example, we count the expenditure on shoes and not on the shoemaker’s expenditure on leather because this will mean multiple counting. (c) (i) An Index of Economic Welfare: National income estimates particularly the per capita income is a very useful indicator of economic welfare. (ii) Use of Economic Planning: National income estimates are used to determine the savings and investments potentials of an economy. This information helps the planners of the economy to determine the potential rate of economic growth of a country. (iii) Helps policy makers to understand the economic structure of a country. The product approach provides detailed information on the contributions of the various sectors and sub-sectors of the economy. (iv) Used to approximate the potential demand: Per Capita income is used to estimate demand for various commodities. (v) National income estimates are used to determine the subscriptions of nations to international bodies for example IMF, IBRD, UN, ECOWAS etc to which they belong. vi) National income estimates are also useful as a basis for inter-temporal and international comparison of living standards. These estimates make it possible for comparison of standard of living of two or more countries. In this respect, the per capita income in real terms is normally used. SOLUTION: ECONOMICS, MAY 2014 SOLUTION 7 (a) A government budget is an estimate of expected revenues and expected expenditures for a given period in the future, usually one year. (b) (i) Recurrent expenditure Workers’ emolument Fuel and maintenance of vehicles Social security payments GH¢m 480 300 50 GH¢830m (ii) Capital (development) expenditure New classroom buildings Construction of feeder roads Extension of electricity GH¢m 600 450 200 GH¢1250m (c) (i) Percentage of contribution of tax Income tax 180 Company tax 350 Total direct taxes GH¢530m Total revenue = GH¢ 1420 530 x 1420 100 1 = 37.3% Page 7 of 8 (ii) Percentage contribution of indirect taxes GH¢m Import duties 550 Excise duties 150 Taxes on exports 120 Total indirect tax 820m 820 1420 x 100 = 58.3 1 (d) The budget was in deficit of GH¢670m because total revenue was GH¢1,420m while total expenditure was GH¢2,090m. SOLUTION: ECONOMICS, MAY 2014