Question

In: Economics

Let a perfectly competitive firm's short-run total cost function be; C(p) = 100q - 4q2 +...

Let a perfectly competitive firm's short-run total cost function be;

C(p) = 100q - 4q2 + 0.2q3 + 450

a) Find the Marginal Cost (MC), Variable Cost (VC) and Average Variable Cost (AVC)?

b) Suppose the Market Price is P = $100, what would be the profit-maximizing quantity?

c) Now suppose Average Total Cost (ATC) = $116 at the profit-maximizing quantity. Is this firm making a loss, profit or breakeven?

d) Should the firm shut down or continue to produce? Explain in detail.

Solutions

Expert Solution


Related Solutions

Consider a perfectly competitive market in which each​ firm's short-run total cost function is C​ =...
Consider a perfectly competitive market in which each​ firm's short-run total cost function is C​ = 64 + 6q ​+ q2​, where q is the number of units of output produced. The associated marginal cost curve is MC​ = 6​+ 2q. In the short run each firm is willing to supply a positive amount of output at any price above ___. If the market price is ​$30 each firm will produce ____ units in the​ short-run. Each firm earns a...
Suppose a perfectly competitive firm's short-run total cost (TC) is given by         TC = 200...
Suppose a perfectly competitive firm's short-run total cost (TC) is given by         TC = 200 + 4Q + 2Q2 where Q = output and 200 = fixed cost. As a result, MC = 4 + 4Q. Suppose the price of the firm's price is $24. a. How much should the firm produce in the short run to maximize its profits? b. How large will the firm's short-run profits be? Remember Profit = TR – TC.      c. Should the...
A perfectly competitive firm's short-run supply curve is
A perfectly competitive firm's short-run supply curve isupward sloping and is the portion of the marginal cost curve that lies above the average total cost curve.upward sloping and is the portion of the marginal cost curve that lies above the average variable cost curve.perfectly elastic at the market price.horizontal at the minimum average total cost.
Problem IV: A perfectly competitive firm has a total cost function given by T C(Q) = 2Q3 − 20Q2 + 100Q.
Problem IV: A perfectly competitive firm has a total cost function given by T C(Q) = 2Q3 − 20Q2 + 100Q. a) What will be the optimal quantity produced by the firm if the market price is P = 300? What will be the profit? (Q=10, Profit=2000) b) How about if the market price is P = 45? What will be the optimal quantity and profit in this case? (Q=0, Profit=0) c) Find the break even point and the shut down point.d) Assuming...
Suppose in the short run a perfectly competitive firm has the total cost function: TC(Q)=675 +...
Suppose in the short run a perfectly competitive firm has the total cost function: TC(Q)=675 + 3q2 where q is the firm's quantity of output. If the market price is P=240, how much profit will this firm earn if it maximizes its profit? b) how much profit will this firm make? c) Given your answer to b), what will happen to the market price as we move from the short run to the long run? d) What is the break-even...
A perfectly competitive firm has the following (short-run) total cost function: ??(?)=?2+200 and the market demand...
A perfectly competitive firm has the following (short-run) total cost function: ??(?)=?2+200 and the market demand for the firm’s output is given by ??(?)=300−6?. What is the equilibrium price and how much output will be produced by each firm in the long run? Suppose that the market demand curve now becomes ??(?)=150−6? . In the long run, with this reduced demand, what will be the equilibrium market price and quantity and how many firms will be serving the market and...
The perfectly competitive golfball industry consists of 100 golfball-producing firms with the short-run total cost function...
The perfectly competitive golfball industry consists of 100 golfball-producing firms with the short-run total cost function ST C=q2+ 20q+ 200−N, where q represents the number of pallets of golfballs produced per day and N represents the number of firms in the industry. Firm marginal cost function is M C= 2q+ 20. - Find the long-run equilibrium price of a pallet of golfballs, the number of pallets produced by each firm in equilibrium, firm profit, and the market quantity of pallets...
A perfectly competitive firm's short-run supply curve is: A. its marginal cost curve above the AVC...
A perfectly competitive firm's short-run supply curve is: A. its marginal cost curve above the AVC curve B. its marginal cost curve below the marginal revenue curve C. horizontal at the market price D. its total cost curve above the AVC E. its marginal revenue curve below the ATC curve
All firms in a perfectly competitive industry have a long-run total cost function of T C(Q)...
All firms in a perfectly competitive industry have a long-run total cost function of T C(Q) = 36Q − 4Q2 + 2Q3. The market demand curve is QD = 640 − 10P. The price of inputs is not affected by the industry output. a) Find the (long-run) average cost and marginal cost curves. b) What quantity will each firm produce in the long run? c) What will be the market price in the long run? d) What will be the...
Suppose a perfectly competitive firm has the followingtotal cost function for the short run (STC):...
Suppose a perfectly competitive firm has the following total cost function for the short run (STC):        STC = 5,000 + 150Q – 12Q2 + (1/3)Q3.a.   Determine its profit-maximizing or loss-minimizing output for the short run, given that the market price of its product is $330 per unit.b.   What will be the firm’s short-run profit or loss?c.   Now disregard the preceding cost function, and suppose its long-run total cost (LTC) is        LTC = 660Q – 9Q2 + 0.05Q3i.   Write...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT