Given the following data on input and output levels. Suppose the output price is $2 and input price is $3. Find the values of AVP and MVP when X 2: Y 0. 1 10 2 25 3. 45 4 60 70 75 $30 and $50 $30 and $30 $4 and $50 $25 and $30
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- Suppose that the production function takes the form X = min(10L, 5K) and that a competitive firm faces a wage rate of £60 per week and a weekly capital rental of £32. (a) How much must the firm spend to produce 100 units of output, and what is the average cost of production when X = 100? (b) What is the incremental cost of producing the 101st unit of output? (c) What happens to the cost of producing 100 units of output if the wage rate and the rental cost of capital rise by 25 per cent each? What happens to the average and marginal cost? (d) What happens to the cost of producing 100 units of output if the wage rate increases by £1, or if the cost of capital increases by £1?You are a manager for a company that manufactures office furniture. To estimate the production function for a particular line of office chairs, you hired an economist to work with engineering and operations experts. The report from these experts indicates that the relevant production function is ? = 2?½?½ where K represents capital equipment and L is labour.Workers at the firm are paid a competitive wage of 120 cedis per day and chairs can be sold for 400 cedis each. a. Your company has already spent a total of 8,000 cedis on the 9 units of capital equipment it owns. Due to current economic conditions, the company does not have the flexibility needed to acquire additional equipment. i. Is this firm operating in the short-run or in the long-run? Explain your choice. ii. what is your profit-maximizing level of output and labour usage? iii. What is your maximum profit?Qno1.You have been hired by Kia as manager for its Pakistan operations. Assume following is the short-run production function at their assembly plant outside Karachi: Q = 10L2 – 0.5 L3 where L is variable input labor, Q is output of Cars assembled Required. a). Assume Kia Head Office is considering hiring more laborers either at their Gwadarplant or alternatively at the Karachi plant. What will be your advice if workers’ marginal product is 40 at wage of Rs=5/hour in Karachi and marginal product is 28 at wage of Rs=4/hour in Gawdar?
- Your product sells for $5 per unit, labor costs $5 per unit, and the rental price of capital is $20 per unit. Complete the following table, and then answer the accompanying questions. (1) (2) (3) (4) 5 6 L K Q MPL P VMPK 0 5 0 1 5 10 2 5 30 3 5 60 4 5 80 5 5 90 6 5 95 7 5 95 8 5 90 9 5 80 10 5 60 11 5 30 b. Which inputs are fixed inputs? Which are the variable inputs?c. How much are your fixed costs?A firm produces output according to a production function: Q = F(K,L) = min {4K,8L}. a. How much output is produced when K = 2 and L = 3? 192 Numeric ResponseEdit Unavailable. 192 incorrect.unit(s) b. If the wage rate is $60 per hour and the rental rate on capital is $20 per hour, what is the cost-minimizing input mix for producing 8 units of output? Capital: 80 Numeric ResponseEdit Unavailable. 80 incorrect. Labor: 480 Numeric ResponseEdit Unavailable. 480 incorrect. c. How does your answer to part b change if the wage rate decreases to $20 per hour but the rental rate on capital remains at $20 per hour? multiple choice Capital and labor increase. It does not change. Capital increases and labor decreases. Incorrect Capital decreases and labor increases.The cost formula for a company can be modeled by C=1092+40x+0.1x2C=1092+40x+0.1x2 where xx represents the number of items made. A formula for the company's income is modeled with R=108x−0.9x2R=108x-0.9x2, where xx is the number of items sold. A company will break even when its costs equal its income. How many items must a company make and then sell to break even? Answer: (If there are multiple answers, separate the answers with a comma.)
- 18. Assuming England has 60 man-hours (mhrs) of labor resource available for production, and labor is the only resource, the per unit resource cost of wine in England is ____ mhrs/bottle. (PleFor function Y= 10+0.3x-0.006x2 suppose that price of the output is $5 and the price of input is $3 what level of input use will maximize the total value of the productPlease only do 4 and 5 not 1 2 or 3 Suppose a firm’s production function is K^1/3 L^2/3 Mpk= L^2/3 / 3K^2/3 MpL=2K^1/3 / 3L^1/3 The rental rate of capital is $52, and the wage rate is $13. What is the cost minimizing capital to labor ratio? How many units of capital and labor should the firm use to produce 1200 units of output How much would it cost the firm to produce 1200 units? What is the short run and long run total costs of decreasing output to 1000 units? Assuming relocation is costless, should the firm relocate to a new location where w=15, r=40?
- A firm engaged in the manufacture of RTWS faces the short-run production function Q = 250L - 5L², where L is the number of units of labor and Q is the number of RTWs produced annually. d.) How many RTWS can be produced by the firm in a year if there are 10 units of labor? e.) Compute the marginal product of the 40th unit of labor. f.) How many RTWs can be produced by the firm in a year if there are 40 units of labor? g.) Sketch the graph of the production function.Suppose a manufacturing firm currently employs 100 workers and the wage rate is $20 per hour. The firm's production function is given by Q = 10L^(1/2), where Q represents output and L represents the number of workers. Calculate the firm's current MPL ."Diminishing Returns in Microbrewing? Your microbrewery produces craft beer, using a single vat, various ingredients, and workers. If you double the number of workers and ingredients, but don’t add a second vat, would you expect your output (gallons per hour) to double? Explain.If you double the number of workers and ingredients and add a second vat, would you expect your output (gallons per hour) to double? Explain."