Unit: Economics
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P = 40 – 60Q
TC = 100 + 50Q – 80Q2
Where;
P = Price
Q = Quantity
TC = Total cost
Determine:
(i) Average fixed cost function.
(ii) Average variable cost function.
(iii) Marginal cost function.
P = 45 – 4Q
TC = 44 + 15Q
Where;
P represents price
Q represents quantity
TC represents total cost
Required:
(i) Determine the sufficient condition for profit maximisation of the firm.
(ii) Determine the firm’s price for profit maximisation.
| Quantity | Price (Sh.) | Income (Sh.) |
| 1,200 | 160 | 60,000 |
| 1,000 | 180 | 40,000 |
P = 400 – 4q
TC=q2+10q+30
Where:
Required:
(i) The marginal cost function.
(ii) The marginal revenue function.
(iii) The average variable cost function.
(iv) The profit maximising level of output.
(v) The maximum profit.
(ii) Enumerate FOUR assumptions underlying the law of variable proportions.
(i) Price elasticity of demand.
(ii) Income elasticity of demand.
(iii) Cross elasticity of demand.
(ii) Outline six application of the indifference curve analysis.
(ii) Using a well labelled diagram, illustrate the optimal size of the firm.
(ii) Highlight factors that influence the production function.
P = 75 – 0.5Q
TC = 80 + 20Q
Where:
P = Price in shillings
TC = Total cost
Q = Quantity in units produced and sold
Required:
(i) The level of output that would maximise profits.
(ii) The maximum profit.
(ii) With an aid of a diagram, explain the long run equilibrium of a firm operating in imperfect competition.
| Level of output | Total variable cost Sh. |
| 0 | 0 |
| 1 | 60,000 |
| 2 | 110,000 |
| 3 | 140,000 |
| 4 | 150,000 |
| 5 | 150,000 |
| 6 | 170,000 |
| 7 | 210,000 |
| 8 | 260,000 |
and
Qb=24−p2where p represents price and Q is quantity
Required:
(i) Which of the two functions represents a demand curve and supply curve. Cite relevant economic reasons.
(ii) Determine the equilibrium price and quantity in the market
(iii) Explain, with the aid of a diagram, the effect on the demand and supply functions indicated in (a) above of
a simultaneous decrease in cost of inputs and a decrease in the price of a substitute good.
The utility total function and other relevant variables related to a consumer are given as follows:
U=20X−4Z2+40Z−X2
Income Y = Kshs. 48
Price of X (Px) = Kshs.2
Price of Z(Pz) = Kshs.4
Required:
(i) Determine the equilibrium quantities of commodities x and z using the cardinalist approach to consumer
behavior.
(ii) Outline the axioms of the cadinalist approach to consumer behavior.
The following equations are given:
Q = -10 + 6P ................... equation (1)
Q = 20 - 4P........................equation (ii)
Required:
(i) Giving reasons, identify the demand function and the supply function.
(ii) Determine the equilibrium price and quantity.
l. At a unit price of Sh.20 of product "R", 600 units were sold.
2. At an increased price of Sh.70, the sales of product "R" decreased by 500 units.
3. The
relationship between the price of product "R" and the quantity sold
of product "R" is linear.
4. The
total cost (TC) of product "R" is given by the function:
TC = O.9q2 + 30q + 1,000
Where q is the quantity of product "R" produced and sold.
Required:
(i) The revenue function of product "R".
(ii) The profit earned at equilibrium.
(iii)The equilibrium price.
| Where: | Q is quity of the product P is the price of the product |
| Where: | P is the price TC is the total cost Q is the quantity |
| Commodity A | Commodity B | Commodity C | |||
| Unit Price (Sh) 75 52 | Quantitydemanded (Units) 923 1,568 | Unit price (Sh.) 14 21 | Quantity demanded (Units) 350 620 | Unitprice (Sh.) 28 24 | Quantity demanded (Units) 540 600 |
| Price of commodity x (Sh.) 12 16 20 24 28 | Quantity consumed of commodity y (Units) 80 100 120 140 160 |
| Income (Sh.) 15,000 29,000 | Demand (Units) 16 7 |
| Where: | P is the price in shillings. Q is the quantity in units, TC is the total cost. |
| Level of output(units) | Total variable cost(Sh) |
|---|---|
| 0 1 2 3 4 5 6 7 8 | 0 80,000 130,000 200,000 270,000 310,000 510,000 530,000 580,000 |
(i) Government tax policy on household consumption.
(ii) Devaluation policy.
(iii) Price discrimination by a monopolist.
| Price per unit (Sh.) | 12 | 10 | 8 | 5 | 2 |
| Quantity supplied (Units) | 12,000 | 11,000 | 9,000 | 6,000 | 0 |
(ii) Highlight six measures that could be adopted by a government to enhance mobility of labour.
one another.
Explain the main types of product differentiation in monopolistic competitive market.
| Units of output: | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| Total variable costs (Sh.): | 0 | 3040 | 5680 | 8000 | 10080 | 12000 | 14000 | 16240 | 18960 | 22480 | 26880 |