Question

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 market equilibrium price and quantity?

d. In equilibrium, how much does each firm produce? How much is its profit? (It is short run, so it is possible for a firm to earn positive profit)

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

( 9 -0.5p -2 :0.5(40) - 2 I = 18 leach from produchun) Proft TR-TC - P4 - (16+49 +9) (40)(18) - 06+ 4.6189 +0392) n - 720 412

Add a comment
Know the answer?
Add Answer to:
In a perfectly competitive market, a firm has the following short-run total cost function: C(q)=16+4q+q2 The...
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
  • A firm in a perfectly competitive market has a short-run total cost curve of ST C(Q)...

    A firm in a perfectly competitive market has a short-run total cost curve of ST C(Q) = 20 + 10Q + Q2. The market price is $10. a) What is the profit-maximizing quantity? b) What are the maximum profits? c) Find the short-run supply curve if all fixed costs are sunk. d) Find the short-run supply curve if all fixed costs are non-sunk. e) Suppose there are 100 identical firms in this market. What is the market supply curve if...

  • 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...

  • Exercise 1. Short-Run Industry Supply Curve In a perfectly competitive market there are n firms with...

    Exercise 1. Short-Run Industry Supply Curve In a perfectly competitive market there are n firms with identical technology: yi=Li½Ki½. Each firm’s cost function is Ci=wLi+rKi where w=r=1. a) In the short run all firms have a fixed level of Ki=100, so that yi=10Li½ and Ci=Li+100. What is the cost function Ci(yi)? What is the short-run average cost function ACi(yi)? b) What is each firm’s marginal cost function MCi(yi)? What is each firm’s short-run supply function si(p)? Find the inverse of...

  • need help with 5 and 6 Suppose a perfectly competitive firm's cost function is C(q)-4q*+16. Marginal cost for the firm...

    need help with 5 and 6 Suppose a perfectly competitive firm's cost function is C(q)-4q*+16. Marginal cost for the firm is given by MC=8q. 1) Find equations for variable cost, fixed cost, average total cost, average variable cost and average fixed cost for this firm. Illustrate on a graph the firm's average variable cost curve, average total cost curve, and marginal cost curve. 2) Find the outputs that minimize average total cost, average variable cost and average fixed cost. 3)...

  • cardboard boxes are produced in a perfectly competitive market. each identical firm has a short run...

    cardboard boxes are produced in a perfectly competitive market. each identical firm has a short run total cost curve of TC= 3Q^3 - 12Q^2 +16Q + 100, where Q is measured in thousands of boxes per week. calculate the output for the price below which a firm in the market will not produce any output in the short run. ( i.e., the output for the shut down price) a 2^1/2 b. 2 c. 1/2 d. 1/square root of 2 2)...

  • Short-run Equilibrium: Bumper sticker firms produce bumper stickers in a perfectly competitive market. Each identical firm...

    Short-run Equilibrium: Bumper sticker firms produce bumper stickers in a perfectly competitive market. Each identical firm has a short-run total cost function equal to: STC (Q) = 3 + 2q + 2Q2. Suppose that there are 100 firms, and the market demand is D(P) = 100 - 5P where D(P) is the quantity consumed in the market when the market price is P. 1. What is the short-run equilibrium price? 2. How much does each firm produce? 3. Are they...

  • Suppose a perfectly competitive firm has the short-run cost function C = 125 + q2. Use...

    Suppose a perfectly competitive firm has the short-run cost function C = 125 + q2. Use the derivative formula or marginal cost to determine the firm’s output level and profit at prices of $30 and $20. At what price does the firm reach the shut-down point?

  • Consider a perfectly competitive market with many identical firms. Each firm has a long-run marginal cost...

    Consider a perfectly competitive market with many identical firms. Each firm has a long-run marginal cost function given by LRMC(y) = y ^2 + 1. We do not know the firms’ LRAT C function, but we know that at a quantity of 3 it is equal to LRMC. In other words: LRAT C(3) = LRMC(3). (a) Find an expression for an individual firm’s long-run inverse supply curve: this will be p as a function of y. Note that it will...

  • 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....

  • Long Run Equilibrium 4. Suppose each firm in a perfectly competitive industry has the same long...

    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)...

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