9. Suppose that in the island country, there are a large number of identical firms. Bot the product market and the labor market are perfectly competitive. Each firm ha the following production function: q=√√√En + Ei + ln(5En + 5E; + 10) — In(10), where En is the employment of native workers and E; is the employment of migran workers. Which of the following statements is correct? (a) Native workers and migrant workers are perfect complements in the productio non! :.
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- #4a.Suppose A firm uses labour, L and capital K, to produce a single product, X. capital is fixed but labour is variable. The firm’s production function is:X=-0.2L3 + 18L2 + 1620L.Where X is the number of units of the product per week, and L is the number of persons employed.A. A t what weekly output is marginal cost equal to average variable cost?B. if the price of the product is $0.20 per unit, what is the maximum weekly wage that the firm would pay rather than close down?.Course: Introduction to Economics - Labor Market This exercise is presented again. There are still no answers. Please, I need a real expert. Thank you You've been asked to solve an analytical example to illustrate concretely effects of minimum wage and labor income tax legislation on employment and, therefore, unemployment. For this, you have decided to study Labor Demand of a firm whose production function is given by: Y = A K1/3 L2/3For simplicity, you decide to assume that A = P = K = 1 , where A is factor productivity, P is price of the good sold by firm and K is amount of capital hired by firm. Recall, moreover, that optimal decision of any economic agent can be reduced to an equality between marginal revenue and marginal costs. In particular, firm will hire workers up to a point where marginal revenue (MR) of their labor equals marginal cost (MC). Given production function you have decided to use for analysis, marginal productivity (MPL) of labor is given by: MPL =…A firm uses labour, L and capital K, to produce a single product, X. capital is fixed but labour is variable. The firm’s production function is: X=-0.2L3 + 18L2 + 1620L. Where X is the number of units of the product per week, and L is the number of persons employed. A t what weekly output is marginal cost equal to average variable cost? if the price of the product is $0.20 per unit, what is the maximum weekly wage that the firm would pay rather than close down?
- Answer the question on the basis of the following output data for a firm. Assume that the amounts of all nonlabor resources are fixed. Number of Workers Units of Output 0 0 1 40 2 90 3 126 4 150 5 165 6 180 What is the firm’s average product when three workers are hired? Multiple Choice 18 units of output. 36 units of output. 42 units of output. 21 units of output.A firm is currently employing a cost-minimizing combination of labor and capital for a given level of output. The firm is employing 20 workers, and the marginal product of the last worker is 40 units of output. The firm is employing 100 units of capital, and the marginal product of the last unit of capital is 10 units of output. If the wage rate is $20 per hour, what is the price of capital? (A) $2.5 per hour (B) $5 per hour (C) $10 per hour (D) $100 per hour (E) $200 per hourAssume that the production function for competitive firm is given by F(L)=9L1/3, where L is the number of units of labour used in the production process. Suppose that the cost per unit of labor is $3 and the price of output is $9 per unit, how many units of labor will the firm hire?
- 2.1 Consider N firms each with the constant-returns-to-scale production function Y = F (K, AL), or (using the intensive form) Y = ALf (k). Assume f'(•) > 0, f"(•) < 0. Assume that all firms can hire labor at wage wA and rent capital at cost r, and that all firms have the same value of A.(a) Consider the problem of a firm trying to produce Y units of output at minimum cost. Show that the cost-minimizing level of k is uniquely defined and is independent of Y, and that all firms therefore choose the same value of k.(b) Show that the total output of the N cost-minimizing firms equals the output that a single firm with the same production function has if it uses all the labor and capital used by the N firms. 2.2 The elasticity of substitution with constant-relative-risk-aversion utility. Consider an individual who lives for two periods and whose utility is given by equation (2.43). Let P1 and P2 denote the prices of consumption in the two periods, and let W denote the value of the…A firm produces good Y with just 2 factors: Capital which is fixed in supply and labour which is variable. Identify the stages of production in the diagram and explain why the firm still hire labour even though it is in the range of diminishing returns. What is the number of workers after which diminishing marginal returns starts? Is this a short run or long run phenomenon? Labour (units) 1 2 3 4 5 6 7 8 9 Total Product (TP) in Units 8 15 24 30 35 37 38 38 36 Average Product (AP) in units 8 7.5 8 7.5 7 6.17 5.43 4.75 4 Marginal Product (MP) in units 8 7 9 6 5 2 1 0 -2Consider the production functions of three different Firms utilizing inputs labor (L) and capital (K) in producing goods X, Y, and Z given below. The three firms face the same fixed price for labor and capital at 5 per unit and 10 per unit, respectively. X = KL2 – L3; Y = 10K1.5L0.5; Z = K0.5L0.5 a. Show and discuss which Firm(s) exhibit(s) diminishing marginal productivity of capital b. Solve for the returns to scale of each Firm and interpret your results c. Solve for Firm Y’s MRTSLK and interpret your computed value. Comment on what happens to the MRTSLK if Firm Y decides to hire more labor d. Mathematically show at what stage of production Firm X will experience the law of diminishing marginal productivity/ returns if it chooses to employ 30 units of capital. Graphically illustrate your results