Suppose labor is available to a firm at a cost of $12 per hour. Also suppose that employing another hour of labor adds 5 units to output and that any amount of output can be sold for $10 per unit. An additional hour of labor would add $50 in additional revenue to the firm. (Enter your response as a whole numer.) This firm should hire ▼labor.
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- PRICE (Dollars per tracker) 30 80 70 60 ATC 20 AVC MC 10 0 0 10 20 30 40 50 60 70 80 90 100 QUANTITY (Thousands of trackers per day) In the short run, given a market price equal to $45 per tracker, the firm should produce a daily quantity of trackers. On the preceding graph, use the blue rectangle (circle symbols) to fill in the area that represents profit or loss of the firm given the market price of $45 and the quantity of production from your previous answer. Note: In the following question, enter a positive number regardless of whether the firm earns a profit or incurs a loss. The rectangular area represents a short-run of $ thousand per day for the firm.6. Each of the 10 firms has the production function q = √KL. The wage is 5 and the rent on capital is 10. Assume we are in the long run, so firms can vary both factors. Write an expression for one firm's cost minimization problem. Use whichever method you prefer to minimize cost and derive an expression for one firm's total cost: TC (9₁) c. Compute one firm's marginal cost and derive the inverse supply curve for one firm and the inverse supply curve for the market. What is the elasticity of supply? a. b.Suppose that hiring a third worker at the campus coffee shop increases output from $100 per hour to $150 per hour. What is the marginal revenue product (of labor) per hour from adding that third worker? Instructions: Enter your answer as a whole number. +A
- Plz give answer ASAP. A price taking firm has the production function, q = f(l) = √ l where q is the output and l is the labor input. The price of labor input or wage is equal to $ 5, the output price is given by p, and the fixed cost is $80. a. Find the prices at which the firm makes a positive profit, and graph the prices along the curve, Hint find the profit function (SOLVE) b. Find the firm’s supply curve. (chek if correct) Q^2 = L TC or C(q) = wl = wq^2 The level of output wich firm maximizes profit is firms supply function We know profit function = pq – wq^2 dπ/dq = p – 2wq =0 p=2wq q(p,w) = p/2w thus supply function q=p/2w c. When p=10, since the firm makes a negative profit, it is better not to produce. True or False? Explain Hint part (a) we found positive values use (a) to demonstrate (SOLVE)A firm produces output according to the production function . If it sells its output in a perfectly competitive market at a price of 10, and if K is fixed at 4 units, what is this firm’s short run demand function for labor? (Remember profit maximizing labor demand).Complete the following table: Assuming the price of capital (k) is $4 and the price of labor (L) is $6, and the price of commodity (Q) is $2. A) What production technique should this firm use? Technique Q K TR TC Profit(n) A. 40 9. 40 8. 6. 40 4 D 40 11 E 40 1. 9. F 40 11
- 2. Suppose the hourly wage is $10 and the price of each unit of capital is $25. The price of output is constant at $50 per unit. The production function is f(E, K) = E'/²K'/2. (a) Write a firm's short-run profit maximization problem. (b) Find a firm's marginal product of labor MP(E). (c) Find the second order condition and derive the labor demand function (i.e. An increase in wage decreases the number of workers hired). (d) If the current capital is fixed at 1,600 units, how much labor should the firm employ in the short run? (e) How much profit will the firm earn?12. If the demand function for a product is p = 100 – 2x where is price in dollars and x is the number of units sold, and the average cost function for a product is C(x) = 100 +4 where x is the number of units sold and C is dollars per unit, what is the maximum profit? Answer and Work Explanation of WorkThe expansion path of a firm gives five different quantities of output such as 10,20,30,40 and 50 units; and the price of labor is $25 and the price of capital is $100 per unit. The table shows the long-run costs of the firm at given quantities of output. Q L K LTC( $) LAC( $) LMC ($) 10 64 20 3600 360 360 20 120 40 7000 350 340 30 200 58 10800 360 380 40 288 80 15200 380 440 50 440 90 20000 400 480 a. With the help of graph, analyze the properties of LAC and LMC b. Interpret and evaluate the numerical and graphical data and illustrate the relationship between LAC and LMC
- 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.New taskFor a producer under complete competition, the following production function applies. Q = F (K, L) = KL where Q is the size of production, K is the size of the capital investment and L is the amount of labor. Assume that the price of capital, r, is 5 and that the salary, w, is 10. a) Assume initially that the capital is locked at 4 units. How much labor will the producer use to produce 50 units of the final product? What will be the total cost of producing these 50 units? b) For the production function above applies The marginal product for work MPL = K The marginal product for capital MPK = L Enter the cost-minimizing combination of capital and labor in the production of 50 units. Also enter the size of the costs. c) Write down the equation for the isocost line for the manufacturerSuppose that labor is the only input used by a perfectly competitive firm. The firm’s production function is as follows: Number of Workers: 0, 1, 2, 3, 4, 5, 6, 7 Units of Output: 0, 7, 13, 19, 25, 28, 29, 29 a. Calculate the marginal product for each additional worker. b. Each unit of output sells for $10. Calculate the value of the marginal product of each worker. c. Compute the marginal profit if the wage is $100 a day. 2. Your enterprising uncle opens a sandwich shop that employs 7 people. The employees are paid $12 per hour, and a sandwich sells for $6. If your uncle is maximizing his profit, what is the value of the marginal product of the last worker he hired? What is that worker’s marginal product?
