Question

12. Consider a price-taking firm with cost function C(q) = 9+q2. What is the break-even price, pBE, below which the firm will

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Price in the long run is equal to MC = AC

MC = 2q and AC = 9/q + q

We then have

2q = 9/q + q

q = 9/q

q^2 = 9

q = 3 units

P = AC = MC = 2*3 = $6

Select B

Add a comment
Know the answer?
Add Answer to:
12. Consider a price-taking firm with cost function C(q) = 9+q2. What is the break-even price,...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Consider a firm with short-run cost function C(q) = q2 + 10 + 25, where 25...

    Consider a firm with short-run cost function C(q) = q2 + 10 + 25, where 25 represents fixed costs. In the short-run, how much should the firm supply to maximize profits if the price is p= 12? (round your answer to one decimal place if necessary)

  • Consider a firm with the cost function C (Q) Q2 + 20Q + 150. Imagine the...

    Consider a firm with the cost function C (Q) Q2 + 20Q + 150. Imagine the government imposes a tax of $5 per unit they sell on the firm. What is this firm's short run supply curve (ignoring any shut-down issues)? 0-220

  • Consider a perfectly competitive market comprised of identical firms each facing the following cost function: C(q)...

    Consider a perfectly competitive market comprised of identical firms each facing the following cost function: C(q) = 4 +q? where q is the firm-specific level of production of the representative firm. The market demand function is Q(p) = 400 - 4p where Q(p) is the aggregate demand in the market (expressed as function of price) and p is the price a) Derive the firm-specific supply function of the representative firm as a function of price b) Assume there are N...

  • A monopolistically competitive firm faces the following demand curve for its product: 6 Price ($) Quantity...

    A monopolistically competitive firm faces the following demand curve for its product: 6 Price ($) Quantity 10 2 9 4 8 6 7 8 5 12 4 14 3 16 2 18 1 20 10 Refer to the Table. The firm has total fixed costs of $20 and a constant marginal cost of $5 per unit. What will the firm do? a) It will produce 2 units; firms will exit the market in the long run. b) It will produce...

  • In a perfectly competitive market, a firm has the following short-run total cost function: C(q)=16+4q+q2 The...

    In a perfectly competitive market, a firm has the following short-run total cost function: C(q)=16+4q+q2 The market demand is Q(p)=220-p a. Show that marginal cost curve passes through the minimum point of average cost curve. Draw a figure to show it. b. Find the firm’s individual short-run supply function. Draw it on the above figure. For the following questions, suppose that there are currently 10 identical firms in this market. c. What is the market supply curve? What are the...

  • 5. (20 points) Consider there are four homogeneous firms with cost function C(a) = are considering...

    5. (20 points) Consider there are four homogeneous firms with cost function C(a) = are considering whether to enter a market with demand P = 9-Q They 5q + 4 (a) Find two industry supply curves when there are one firm entered the market and two firms entered the market. (b) Draw the curves you found in (a) on a demand-supply diagram and mark these aggregate supply quantity (c) Should the third firm enter the market? Why or why not?...

  • i) The long run cost function for each firm in a perfectly competitive market is c(q)...

    i) The long run cost function for each firm in a perfectly competitive market is c(q) = 2^1.5+16q^0.5, LMC = 1.59^0.5+ 8q^-0.5, market demand curve is Q=1600-2p. Find price (p) of output and the level of output (q) produced by the firm in a long run equilibrium. Find the long run average cost curve for the firm. ii) what happens in the long run if the market demand curve shifts to Q=160-20p?/ -A competitive industry is in long run equilibrium....

  • a firm produces output according to the following function q= f(L,K) = L^1/2K^3/2. The cost of...

    a firm produces output according to the following function q= f(L,K) = L^1/2K^3/2. The cost of labor is $2 per hour and the rental cost of capital is $12 per hour. a) Determine the returns to scale for this function. b) Suppose the firm wishes to produce at cost $56. How Much capital and how much labor does the firm employ? c. Derive the short-run cost function with optimal amount of K from part b. d. Suppose that there are...

  • a firm produces output according to the following function q= f(L,K) = L^1/2K^3/2. The cost of...

    a firm produces output according to the following function q= f(L,K) = L^1/2K^3/2. The cost of labor is $2 per hour and the rental cost of capital is $12 per hour. a) Determine the returns to scale for this function. b) Suppose the firm wishes to produce at cost $56. How Much capital and how much labor does the firm employ? c. Derive the short-run cost function with optimal amount of K from part b. d. Suppose that there are...

  • Consider the Cobb-Douglas production function Q = 6 L^½ K^½ and cost function C = 3L...

    Consider the Cobb-Douglas production function Q = 6 L^½ K^½ and cost function C = 3L + 12K. a. Optimize labor usage in the short run if the firm has 9 units of capital and the product price is $3. b. Show how you can calculate the short run average total cost for this level of labor usage? c. Determine “MP per dollar” for each input and explain what the comparative numbers tell in terms of the amount of labor...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT