If the average product at 3 units of labour is 10 units of output and the average product at 4 units of labour is 11 units of output then what is the marginal product of increasing labour from 3 to 4 units? A) 14. B) 1 C) 11. D) 0.5. E) None of the above.
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- What is the difference between a fixed input and a variable input?What is a production function?Consider a firm that produces car repairs. All inputs are fixed except the number of workers hired to make repairs. The schedule of output as the number of workers changes is : Number of Workers Repairs Completed(per day) Marginal Product ( per day) of that worker 1 3 3 2 9 ? 3 18 9 4 30 12 5 ? 15 6 52 7 7 58 6 8…
- If capital and labour are perfect complements then the marginal products of capital and labour are undefined A True Faise Question 16 A firm uses 10 units of labour and 20 units of capital to produce 10 units of output. The marginal product of labour is 0.5. If there are constant returns to scale the marginal product of labour must be 0.25 True B False Question 17 Afirm uses 10 units of labour and 30 units of capital to produce 10 units of output. The marginal product of labour is 05. If there are constant returns to scale the marginal product of labout must be 0.25 A True False1. A firm can manufacture a product according to the production function Q = F(K,L) = K³/4L¹/4 a. Calculate the average product of labour, when the level of capital is fixed at 16 units and the firm uses 16 units of labour. How does the average product of labour change when the firm uses 81 units of labour? b. Find an expression for the marginal product of labour when the amount of capital is fixed at 16 units. Then, illustrate that the marginal product of labour depends on the amount of labour hired by calculating the marginal product of labour for 16 and 81 units of labour. c. Suppose capital is fixed at 16 units. If the firm can sell its output at a price of £100 per unit and can hire labour at £25 per unit, how many units of labour should the firm hire to maximise profits?Say the marginal product of labour in production is 4 and the average product of labour is 7. Then, increasing the amount of labour used in production will lower the average product of labor. True False
- Question 8 of 13 The following diagram depicts the production function of the farmers, where diminishing average product of labour is assumed. At A the average product of labour is 500,000/800 = 625 kg of grain per farmer. At B the average product of labour is 732,000/1,600 = 458 kg of grain per farmer. If you know that for 2,800 farmers the grain output is 894,000kg, then which of the following is/are correct? Kilogrammes of grain produced (thousands) 900 800- 700- 600- 500 400- 300- 200- 100- 0 0 400 800 B 1,200 1,600 Number of farmers 2,000 2,400 2,800 OA. The average product of labour when the labour input is 2,800 is 300. OB. The decreasing slopes of the rays from the origin to the production function along the curve indicate the decreasing average product of labour. OC. If the production function curve is an upward-sloping straight line, then there is no diminishing average product of labour. OD. It is possible that initially there is an economy of scale: for example, going from…14) Given the production function q = 1.37LK, what is the marginal product of labor?A) 1.37B) 0C) 1.37KD) 1.37LE) Cannot be determined with the information given..If the first 5 units of labour produce 3 units of output each, and the second 5 units of labour produce 11 units each, then total product at 5 and 10 units of labour are Select one: 15 and 55 units 160 and 40 units 5 and 5 units 15 and 70 units
- If 11 workers can produce a total of 54 units of a product and a 12th worker has a marginal product of 6 units, what is the average product of 12 workers?5. The production function is given by y=x₁ + 2x2. If w₁ = 10, w₂ = 8, will the firm use input factor 2 to minimize the cost? In what case will the firm use input factor 2?Exercise 11 Question Help Suppose that a firm's production function is: 112- q = 10L0.5K0.5 98- Its marginal product functions are: 84- MP, = 5KO.5/L0.5 - 0.5g/L 70- and MPK = 5L0.5/K.5 - 0.5g/K. 56- The cost of a unit of labor, w, is $50 and the cost of a unit of capital, r, is $50. Isoquants for output of 140 and 280 are illustrated in the figure to the right. 42- 28- Initially, the firm is producing 140 units of output and has determined that the cost-minimizing quantities of labor and capital are 14 and 14, respectively. 14- -q= 280 q= 140 98 Suppose now that the firm wants to increase output to 280 units. If capital is fixed 0- in the short run, how much labor will the firm require? 70 84 L, Units of labor 14 28 42 56 112 The firm will now require units of labor. (Enter your response rounded to two decimal places.) K, Units of capital
