Each firm in a perfectly competitive industry has the following production function: q = K1/4L1/4 Each firm takes factor prices as given. Factor prices are r = 4, w = 16 Suppose firms in this industry face a recurring fixed cost FC=144, ie, firms face a fixed cost FC=144 in the long run. Rewrite long run MC(q) and AC(q) functions and then find the long run equilibrium price.
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Each firm in a
Suppose firms in this industry face a recurring fixed cost FC=144, ie, firms face a fixed cost FC=144 in the long run. Rewrite long run MC(q) and AC(q) functions and then find the long run
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- Joshua owns a small boat and catches lobster off the coast of Maine. His weekly cost function is TC(q) = 40 + 5q + 5q?. He sells his lobsters to the local wholesaler at the market price p (in dollars). a) Find Joshua's short-run supply function for lobsters. (Hit: In this case short-run marginal cost is the same as long-run marginal cost.) b) Find Joshua's long-run supply function for lobsters. c) Find Joshua's shutdown price and Joshua's breakeven price (the price at which profit equals zero). d) Suppose the market price is $30, calculate his profit. What will Joshua do in the long run? Explain. 1A competitive firm uses two variable factors to produce its output, with a production function y = min{ x1, x2 }.The price of x1 is w1 = $8 and the price of x2 is w2 = $5. Due to a lack of warehouse space, the company cannot use more than 10 units of x1. The firm must pay a fixed cost of $80 if it produces any positive amount but doesn't have to pay this cost if it produces no output. What is the smallest integer price that would make a firm willing to produce a positive amount? please solve asap?A competitive firm uses two variable factors to produce its output, with a production function y = min{ x1, x2 }.The price of x1 is w1 = $8 and the price of x2 is w2 = $5. Due to a lack of warehouse space, the company cannot use more than 10 units of x1. The firm must pay a fixed cost of $80 if it produces any positive amount but doesn't have to pay this cost if it produces no output. What is the smallest integer price that would make a firm willing to produce a positive amount?
- b Now suppose Q = 2L +3K. Let the market price of L be w = 5 and the price of K be r = 4. Let both L and K can vary with production. Compute the input demand functions as a function of Q. (4 Points) c Calculate the marginal cost and average cost of the above function in subpart (b). Show them graphically. At what prices of textile will the producer shut down production. (3 Points) d Now suppose Q = 10LK. The market prices of inputs are as in subpart (b) above. Compute the input demand functions as a function of Q. Find the optimal production when the price of textile is $10 per yarn. (5 Points)cost function of a single product firm is: C(Q)=1.9+4.5Q+8.2Q^2 If all firms have the same cost structure. what wil be the long run equilibrium price in this market?Let's consider a company that produces a good Z, in a perfectly competitive market. The expression for the total cost of this undertaking is as follows: C( q) = 72 + 2q2 Graph the marginal cost, average cost, and average variable cost curves of this company. Your chart should be accurate. Also include the break - even point (SR) and closing point (SF).
- Suppose that the market for apples is perfectly competitive. Production of apples requires two inputs:workers (L) and land (K). The production function for apples is:F(K,L)=3K^(1/3)* L^(2/3) A) Suppose that W=4, R=16, and in the short-run, K=27. Find the firm’s short-run cost function SRC(q)and short-run marginal cost function SRMC(q).B) What is the optimal production of apples if P=4? What are consumer surplus and profit?C) Find the firm’s short-run supply of apples Q(P) when W=4, R=16 and K=27.D) Find the firm’s long-run cost function LRC(q) and long-run marginal cost function LRMC(q) when W=4and R=16. How do these compare to the firm’s short-run cost function and marginal cost function?E) Find the firm’s long-run supply of apples q(P) when W=4 and R=16.The cost function for Acme Laundry is: TC(q)=10+10q+q^2 so its marginal cost function is: MC(q)=10+2q where q is tons of laundry cleaned. Derive the firm's average cost and average variable cost curves. What q should the firm choose so as to maximize its profit if the market price is p? How much does it produce if the competitive market price is p = 50?A firm has a linear demand function for it's product.When the price of the product is sh.20,the quantity demanded is 40 units.When the price increases to sh.240 the quantity demanded becomes 30 units.In addition,the firm's marginal cost function is giving by: Mc = 40q- 2q^2+2 Fixed cost = 5 million Where q= quantity demanded,Mc = marginal cost(sh.million) Required 1.The level of output that maximises profits 2.The maximum profit 3.The price of the product at the maximum profit
- The cost function for Acme Laundry is: TC(q)=10+10q+q^2 so its marginal cost function is: MC(q)=10+2q where q is tons of laundry cleaned. Derive the firm's average cost and average variable cost curves. What q should the firm choose so as to maximize its profit if the market price is p? How much does it produce if the competitive market price is p = 50?What would it look like in excel?Consider a firm with the following cost function: C (q) = 4q^2 + 100 Find the long-run supply and the short-run supply of the firm, under the assumptions that the total cost function is the same in the long and in the short run, but the xed cost is sunk in the short run.Suppose that the manager of a firm operating in a competitive market has estimated the firm's average variable cost function to be - 0.03Q + 0.00005Q² AVC = 10 – Total fixed cost is $600. a. What is the corresponding marginal cost function? b. At what output is AVC at its minimum? c. What is the minimum value for AVC?
