An accountant for a car rental company was recently asked to report the firm's costs of producing various levels of output. The accountant knows that the most recent estimate available of the firm's cost function is, C(Q)=100+10Q+Q^2 where costs are measured in thousands of dollars and output is measured in thousands of hours rented.
a. What is the average fixed cost of producing 4 units of output?
b. What is the average variable cost of producing 4 units of output?
c. What is the average total cost of producing 4 units of output?
d. What is the marginal cost of producing 4 units of output?
e. What is the relation between the answers to (a), (b), and (c) above? Is this a general property of average cost curves?

e) The sum of average variable cost and average fixed cost is equal to the average total costs i.e. 14+25=39
An accountant for a car rental company was recently asked to report the firm's costs of...
6. Suppose the wage is $8, the rental rate of capital is $128, and the firm's CRS Cobb-Douglas production function is q = 3L1/3K2/3 a. What is the cost-minimizing bundle of labor and capital for producing output of q = 600 units? b. What is total cost at this bundle?
Problem3 In the short run, a firm's total costs of producing 5 units of output equal $95. If it produces 6 units its total costs will increase to $117.88. See pages 491-497 a. What is the marginal cost of the 6th unit of output? b. What is the firm's average total cost of producing 5 units? c. What is the firm's average total cost of producing 6 units? d) How is it that the average cost is increasing? Please explain.
The manager of a national retailing outlet recently hired an economist to estimate the firm's production function. Based on the economist's report, the manager now knows that the firm's production function is given Q = K^.5 L^.5 and that capital is fixed at 1 unit. a. Calculate the average product of labor when 5 units of labor are utilized. b. Calculate the marginal product of labor when 25 units of labor are utilized. c. Suppose the firm can hire labor...
The manager of a national retailing outlet recently hired an economist to estimate the firm's production function. Based on the economist's report, the manager now knows that the firm's production function is given by Q=K^(1/2) L^(1/2) and that capital is fixed at 1 unit. a. Calculate the average product of labor when 16 units of labor are utilized. b. Calculate the marginal product of labor when 16 units of labor are utilized. c. Suppose the firm can hire labor at...
Suppose the firm's production function is Q = K1/3L2/3. a. If the rental rate of capital R = $30 and the wage rate W = $40, what is the cost-minimizing capital-to-labor ratio? b. If the rental rate of capital R is $35 and the wage rate W is $70, and assuming the same production function, how many units of labor and capital should the firm use to produce 12 units of output? c. What is the total cost of producing...
The manager of a national retailing outlet recently hired an economist to estimate the firm's production function. Based on the economist's report, the manager now knows that the firm's production function is given by Q=K^(1/2) L^(1/2) and that capital is fixed at 1 unit. a. Calculate the average product of labor when 9 units of labor are utilized. b. Calculate the marginal product of labor when 9 units of labor are utilized. c. Suppose the firm can hire labor at...
This table shows the total costs for various levels of output for a firm operating in a perfectly competitive market Price Quantity TC $500 $10.00 $50 1 $20.00 $27.50 $50 3 $77.50 $50 4 $147.50 $50 5 $250.00 $50 2 According to the table shown, what is the firm's marginal cost from producing the 2nd unit? $27.50 $7.50 $20.00 $10.00 This table shows the total costs for various levels of output for a firm operating in a perfectly competitive market....
Afir's production engineers have estimated its production function as Q(KL) = 2K2/1/2 = 2-K L=2KL where ' and 'L' represent the amounts of capital and labour, respectively, used in production each period, and 'Q' represents the amount of output produced each period. The firm pays a wage, w, for each person-hour of labour of $16. The rental rate of a machine-hour of capital, wk, is $100. What will be the firm's minimum cost of producing 10 units of output? What...
Can you answer these questions please. all of them
2. A firm's product sells for $2 per unit in a highly competitive market. The firm pro duces output using capital (which it rents at $75 per hour) and labor (which is paid a wage of S15 per hour under a contract for 20 hours of labor services). Complete the following table and use that information to answer the questions that follow. 20 0 1 20 50 2 20 150 3...
Suppose that a competitive firm's marginal cost of producing output q (MC) is given by MC(q) = 3 + 2q. Assume that the market price (P) of the firm's product is $15. What level of output (q) will the firm produce? The firm will produce units of output. (Enter your response rounded to two decimal places.) What is the firm's producer surplus? Producer surplus (PS) is $ . (Enter your response rounded to two decimal places.) Suppose that the average...