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7. For the production function q min(K,4L ): (a) Assume that capital K is fixed at...
7. For the production function q= min(K, 4L) (a) Assume that capital K is fixed at...
7. For the production function q= min(K, 4L) (a) Assume that capital K is fixed at 100 units. Derive and plot Page 2 of . The total product function q(L) ii. The marginal product function MPL(L) ii. The average product function AP(L) (b) Suppose the price of labour w is $1 and the rental rate r is also $1. Derive and plot all cost functions; that is: i. Short run total cost. ii. Variable cost. iii. Fixed cost. iv. Short...
Please solve and show full work for a rating. Thank you. Plastic bags are great 2) The production of plastic bags is gi...
Please solve and show full work for a rating. Thank you.
Plastic bags are great 2) The production of plastic bags is given by the production function q K is capital and L is labor. f(LK) s, where Short Run Production a. ) Find the expressions for the Marginal Product of Labor (MP) and Average Product of Labor (APL) in the Short Run, when K is fixed at 400. i) Derive L() in the Short Run, again with K fixed...
In the short-run, we assume that capital is a fixed input and labor is a variable...
In the short-run, we assume that capital is a fixed input and labor is a variable input, so the firm can increase output only by increasing the amount of labor it uses. In the short-run, the firm's production function is q =f(L,K), qs8LK + 3L2-1.3 where q is output, L is workers, and K is the fixed number of units of capital. What is the marginal product of labor as a function of L and K? MPL=/ -(Properly format your...
The production of customers served (Q) at a convenience store is determined by the function Q(L,K)...
The production of customers served (Q) at a convenience store is determined by the function Q(L,K) = LK + K, where L is labor and K is checkout stands. Which statement correctly describes the corresponding short-run average product of labor curve, where the number of checkout stands is fixed? APL decreases at a decreasing rate. APL decreases at an increasing rate. APL decreases at a constant rate. APL increases at a decreasing rate. APL increases at an increasing rate.
The production function for computers is given by Q = 20K 0.5L 0.5 , where Q...
The production function for computers is given by Q = 20K 0.5L 0.5 , where Q is the number of computers produced per day, K is the number of assembly line machines (which is fixed at 2 in the short run), and L is the number of employees. Write the equation for the firm's short-run production function. b) Write the equation for the firm's short-run average product of labour function. c) Calculate the average product of labour for L =...
Question 7 Consider the following production function: Q=AL' K• Assume A > 0. Further assume 0...
Question 7 Consider the following production function: Q=AL' K• Assume A > 0. Further assume 0 <a <1, and 0 <b<1. 1. What is the Marginal Product of Labor (MPL)? Is it diminishing as L increases? What is the Marginal Product of Capital (MPK)? Is it diminishing as K increases? 2. What is the Average Product of Labor (APL)? What is the Average Product of Capital (AP)? 3. What is the TRSL,K? Is the absolute value of TRSL K diminishing...
Suppose the firm's production function is Q = 2KL where Q is units of output, K...
Suppose the firm's production function is Q = 2KL where Q is units of output, K is units of capital (which are fixed at 2), and L is units of labor. a. What is the firm’s short-run production function? b. Over the labor input usage range of 0 to 5, that is L ranging from 0 to 5, graph the firm’s Total Product curve. c. Derive and graph the firm’s Average Product curve and the Marginal Product curve. Graph/plot them...
A firm produces toasters using capital (K) and labor (L). The price of capital is r...
A firm produces toasters using capital (K) and labor (L). The price of capital is r > 0 and the price of labor is w > 0. The quantity Q of toasters produced is given by the function: Q = f(L, K) = L^(1/2) K^(1/3) (a) What type of returns to scale does the firm have? (b) Assume that the firm minimizes costs and that all factors are variable . i. Explain the conditions that hold when the plant produces...
A firm production function is given by q(l,k) = l0.5·k0.5, where q is number of units...
A firm production function is given by q(l,k) = l0.5·k0.5, where q is number of units of output produced, l the number of units of labor input used and k the number of units of capital input used. In the short-run the firm’s amount of capital is fixed at k1 = 100. When l = 25, the firm’s marginal product of labor is [MPl].
Please answer the two sub-parts Question 4 (20 points) A firm has the following short-run production...
Please answer the two sub-parts
Question 4 (20 points) A firm has the following short-run production function as follows: Q = 15L +18L2-0.5L, where Q = total products per period and L = number of workers employed per period. 4.1) (3 points) Derive the marginal product of labor (MPL). At what number of workers (L) does the law of diminishing returns begin? MPL = f(L) = Law of diminishing return begins when L = workers. . 4.2) (3 points) Derive...
7. For the production function q= min(K, 4L) (a) Assume that capital K is fixed at 100 units. Derive and plot Page 2 of . The total product function q(L) ii. The marginal product function MPL(L) ii. The average product function AP(L) (b) Suppose the price of labour w is $1 and the rental rate r is also $1. Derive and plot all cost functions; that is: i. Short run total cost. ii. Variable cost. iii. Fixed cost. iv. Short...
Please solve and show full work for a rating. Thank you.
Plastic bags are great 2) The production of plastic bags is given by the production function q K is capital and L is labor. f(LK) s, where Short Run Production a. ) Find the expressions for the Marginal Product of Labor (MP) and Average Product of Labor (APL) in the Short Run, when K is fixed at 400. i) Derive L() in the Short Run, again with K fixed...
In the short-run, we assume that capital is a fixed input and labor is a variable input, so the firm can increase output only by increasing the amount of labor it uses. In the short-run, the firm's production function is q =f(L,K), qs8LK + 3L2-1.3 where q is output, L is workers, and K is the fixed number of units of capital. What is the marginal product of labor as a function of L and K? MPL=/ -(Properly format your...
Question 7 Consider the following production function: Q=AL' K• Assume A > 0. Further assume 0 <a <1, and 0 <b<1. 1. What is the Marginal Product of Labor (MPL)? Is it diminishing as L increases? What is the Marginal Product of Capital (MPK)? Is it diminishing as K increases? 2. What is the Average Product of Labor (APL)? What is the Average Product of Capital (AP)? 3. What is the TRSL,K? Is the absolute value of TRSL K diminishing...
Please answer the two sub-parts
Question 4 (20 points) A firm has the following short-run production function as follows: Q = 15L +18L2-0.5L, where Q = total products per period and L = number of workers employed per period. 4.1) (3 points) Derive the marginal product of labor (MPL). At what number of workers (L) does the law of diminishing returns begin? MPL = f(L) = Law of diminishing return begins when L = workers. . 4.2) (3 points) Derive...
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