q=L^0.5+K^0.5, assuming r=w=$8. Suppose this perfectly competitively firm horizontal demand curve with p=$48, calculate the quantity this firm will decide to produce. Find the amount of L and K the firm will hire. Is this firm making a profit or loss, how much it it?
q=L^0.5+K^0.5, assuming r=w=$8. Suppose this perfectly competitively firm horizontal demand curve with p=$48, calculate the quantity...
3. Suppose a firm competing in a perfectly competitve market uses machines (K) and workers (L) to produce containers of nails. Their production technology is given by q = (K)3 (L)3 . Suppose the firm already has 27 machines, the cost of people is w = $12 and each container of nails sell for P = $12. (a) Set up the firm’s problem. What time frame is being examined here? How many workers does the firm hire? How much does...
The market demand curve for mineral water is P=15-Q. Suppose that there are two firms that produce mineral water, each with a constant marginal cost of 3 dollars per unit. Suppose that both firms make their production decisions simultaneously. How much each firm should produce to maximize its profit? Calculate the market price. The quantity produced by firm 1 is denoted by Q1 The quantity produced by firm 2 is denoted by Q2. The total quantity produced in the market...
Suppose you are analyzing a firm operating in a perfectly competitive market. You know the market demand curve is P = 300 - Q and the market supply curve is P = -525 + 2Q. You also know that the cost function of the firm is: C (Q) = -1/6Q^3 - 1/2^2 + 21Q + 100/3. Using this information find A. the quantity that will maximize profits. B. If the firm is making a profit or suffering loss
Suppose that the production function for your firm is given by: F(L,K)=L12K1/2 w=$1 and r=$1. In the long-run, how many workers and capital should you hire in order to produce Q units of output? Select one: a. L=2Q; K=Q b. L=Q; K=Q2 c. L=0.5Q; K=0.5Q d. L=Q; K=Q e. None of the above
7. Perfectly competitive firm faces P(Q) = P inverse demand curve and its costs are given by a cost function C(Q), assuming that marginal costs are positive. Firm is also taxed at rate t per unit of output. (a) Write down the firm's profit function. Identify the choice variable, and the parameter if the firm maximizes the profit. (b) Write down the FONC for profit maximization. What does this equa- tion solve for? Can you get it explicitly? Discuss. Under...
Suppose the inverse demand curve for a commodity in a perfectly competitive market takes the functional form: P (Q) = -.1Q + 10. Additionally, the firm’s marginal cost (MC) takes the following functional form: MC = 4 + 2Q. Recalling that a perfectly competitive firm is a price-taker in the market and its profit-maximizing output level (Qe) is always found by equating its price with its marginal cost: P = MC. Given all this, how much output (Qe) should the...
A firm produces output Q by using capital K and labor L in fixed proportions, i.e. Q = F (K ,L ) = min {K, L/3}. The price of a unit of labor is w = 6, the price of a unit of capital is r = 2 and the price of output is p = 20. a) Draw the isoquant for Q = 8. b) Find the marginal product of labor. Suppose that (in part c and d) the...
Suppose that a firm had a production function given by: q=L^0.25*K^0.75. The wage rate (w) is $10 and the rental rate (r) is $20. Calculate the amount of labor the firm would hire when it produces 300 units of output in a cost-minimizing way
The demand curve for a perfectly competitive firm options: is upward sloping. is perfectly horizontal. is perfectly vertical. maybe downward or upward sloping, depending upon the type of product offered for sale. In the short run, the best policy for a perfectly competitive firm is to Question 17 options: shut down its operation if the price ever falls below average total cost. produce and sell its product as long as price is greater than average variable cost. shut down its...
Long Run Equilibrium 4. Suppose each firm in a perfectly competitive industry has the same long run total cost function T C(q) = 16+q^2 . The market demand curve is QD = 100−P. (a) What 3 equations define a Long Run Perfectly Competitive Equilibrium? (b) How much quantity q ∗ does each firm produce in Long Run Perfectly Competitive Equilibrium? (c) What is the market price P ∗ in this equilibrium? (d) Find the market quantity Q∗ . ( e)...