A firm's production function is Q = 5 + 25L - .5L2 + 30K – K2, and its demand function is PQ = MRQ = d = $30. The prices of L and K are PL = $6 and PK = $12. Use Excel Solver to find the profit-maximizing and cost minimizing amounts of L and K to employ. The profit- maximizing and cost minimizing amount of L is:
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- The price of factor A is GHC20 per unit and the price of factor B is GHC300.00 per unit.The marginal product of factors A is 40units and the marginal product of factor B is 60units.Should the firm increase the employment of factor A and decrease the employment of B to minimize the total long run cost of producing existing output?ExplainThe price of factor A is GHC20 per units and the price of factor B is GHC300.00 per unit. The marginal product of factor A is 40 units and the marginal product of factor B is 60 units. Should the firm increase employment of factor A and decrease employment of factor B to minimise the total long run cost of producing existing output? ExplainA firm's production function is Q = 5 + 25L - .5L2 + 30K – K2, |3D and its demand function is PQ = MRQ = d = $30. The prices of L and K are PL = $6 and PK = $12. Use Excel Solver to find the profit-maximizing and cost minimizing amounts of L and K to employ. The profit-maximizing and cost minimizing amount of L is: А. L = 16. L= 25. C. L= 38. D. L= 42. B.
- True or false and explain Suppose a firm’s marginal product of labour is MPL = 10/L, where L is measured in labour hours, the price of the product is $600, and the cost per hour of labour is $30. The firm currently employs 150 labour hours. In order to maximize the firm’s profits in the short run, the manager should increase its labour employment by 40 labour hours.Calculate the Marginal Product (MP) at each input level. If the price of printer is $100 each, calculate the Value of the Marginal of labor (VMPL). If the wage rate (per week) is $1800 , how many workers will be employed? If the firm decides to hire 14 workers, what is the maximum wage the firm would be willing to pay?Consider the following production function: q = 32LK + 10L2 - Assume capital is fixed at K= 25. At what level of employment does the marginal product of labor equal zero? The marginal product of labor equals zero when (Enter a numeric response using an integer.) Beyond a labor input of 40, the marginal product of labor is 20 étv MacBook Air DI DD F3 F5 F6 F7 FB F10 FW 2# $ & 3 4 5 8 9 E R Y P D F G н J K C V B N M command V
- . In the short run, labor is a hat-making firm’s only variable input. Wage rate is $5.00/hour. The firm currently employs a certain amount of labor H (hours), such that the marginal product of labor is 10 hats per worker-hour, and average product is 15 hats per worker-hour. MPL(H) = 10; APL(H) = 15. (Note: marginal and average products of labor for this firm are not constant. 10 and 15 are their values at a particular point, H, not everywhere.) What is the marginal cost of a hat for that firm?Suppose that firm's short-run 4 a production function is q=10/T – 1. 5.1 Find the level(s) of maximise the firm's average product of L that labour (APL). 5.2 Calculate the value of the second- order derivative (SOD) at the value of L found in 5.1 that maximises APL 5.3 Calculate the marginal product of labour (MPL) at the level(s) of L that maximises APLGoleta Brewing Company hires only two types of labor, managers and brewing assistants (denoted M and B, respectively). GBC has the following Cobb-Douglas production function F(M,B) = M.5 B.5 and wants to produce 10 barrels of pale ale this week. If the wage of managers is $50 per hour and the wage of brewing assistants is $10 per hour, how many managers and brewing assistants should the firm hire (round to nearest whole number)? How does your answer change when the wage of managers decreases to $30 per hour and the wage of brewing assistants remains constant. Is this result consistent with your intuition?
- Consider the following production function: q= 100L0.8K0.4 Currently the wage rate (w) is $15.00 and the price of capital (r) is $5.00. If the firm is using 200 units of capital in production, how much labor should be employed to minimize costs? Labor input= units. (Entera numeric response using a real number rounded to two decimal places.)The production function for Q is given as Q = 5K1/2L1/2where K is the amount of capital employed and L is the amount of labor employed. The price of capital is $8 and the price of labor is $4. Show the input choice when output reaches 59 and find the marginal cost of the 60th unit of output. Show your steps of calculation clearly.Suppose Die Cast Aluminum Co. is a subcontractor for the auto industry and makes specialized auto parts. There is a bracket it manufactures that it sells for $2.50. The following table shows the number of brackets that can be produced from a given number of labor hours. Assume that the company cannot hire labor for a fraction of an hour. Hours of Labor Output 50 90 1 3 120 4 140 150 155 6 157 The marginal product of labor for the third hour of labor is 30. (Enter your response as an integer.) The value of the marginal product of labor for the third hour of labor is 75. (Round your response to two decimal places.) If the wage paid to workers in Die Casť's plant is $25/hour, it should employ worker(s). (Enter your response as an integer.) If the wage paid to workers in Die Cast's plant is $35/hour, it should employ worker(s). (Enter your response as an integer.) If the wage is $25/hour, but the price of a bracket declines to $2.00, it should employ worker(s). (Enter your response as an…