The production function of a competitive firm is described by the equation y = 1/2G1/2 2.x6x. The factor prices are pi = $3 and p2 = $4 and the firm can hire as much of either factor it wants at these prices. What is the firm's marginal cost?
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- Tom Petersen is considering renovating bar stools at Dreamland. The productionfunction for new bar stools is given byq= 0.5L0.5where q is the number of stools produced during the renovation week and l represents thea number of worker hours employed during the period. The firm is a price taker for both bar stools(which sell for P) and workers (which can be hired at a wage rate of w per hour).a. What is the cost function for this firm C(w,q)?b. What is the supply function for bar stools q(P,w)?c. What is the profit function for this firm (P,w)?d. What is the firm’s demand function for labor function L(P,w)?The production function of a competitive firm is described by the equation y = 2x11/2 6x21/2. The factor prices are p1 = $3 and p2 = $4 and the firm can hire as much of either factor it wants at these prices. What is the firm’s marginal cost?Suppose that labor is the only input used by a perfectly competitive firm.The firm's production function is as follows:a.Calculate the marginal product for each additional worker.b.Each unit of output sells for $10.Calculate the marginal product for each additional worker.cCompute the demand for schedule showing the number of workers hired.
- 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)Roland Umbrellas has a production function given by Q = L0.5K0.5. The wage (W) is $80 per day and the rental per unit of capital (R) is $5 per day. In the long run, how many units of capital will Roland want to buy for each unit of labor?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 manufacturer
- Refer to the tabie below, which shows the relationship between labour and output for a perfectly competitive firm. Quantity of labour Total output 1 2 5 12 5 13 If each unit of labour hired is paid $6, then the marginal cost of the 5th unit of output is:Suppose the production function for high quality brandy is given by : Q = √KLWhere q is the output of brandy per week and L is labor hours per week ., in the short run K is fixed at 100, so the short run production function is Q = 10√La. If the capital rents for 10$ and the wage are 5$per hour ., write the short run total cost function. b. How much will the firm produce at a price of 20$ per bottles of brandy ?c. How many labor hours will be hired per week?Suppose a firm is producing 2,475 units of output by hiring 50 workers (W = $20 per hour) and 25 units of capital (R = $10 per hour). The marginal product of labor and marginal product of capital are 30 and 15, respectively. Is the firm minimizing the cost of producing 2,475 units of output? Explain.
- 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.draw the marginal and average cost curves of companies p and q where Firm p: Cost= 4Q Firm q: Cost = 10 + 4Q you are also told that each of the two firms have maximum production capacity of 40,000 (max quantity) which is produced in batches of 4,000.2. A firm has the following Cobb-Douglas production function: q = LªK!-a, where 0 < a <1 is a parameter. Suppose that in the short run K = 1. The rental rate of a unit of K is $10, and the wage rate of a unit of L is $20. (a) Derive the marginal cost of the firm (expressed in terms of a and q). (b) Derive the average variable cost of the firm (expressed in terms of a and q). (c) Derive the cost function of the firm.