6. Consider a perfectly firm who has a cost function of ?(?) = 3 + 4?...
6. Consider a perfectly firm who has a cost function of ?(?) = 3 + 4? + 6?^ 2 .
a) Solve for the firm’s supply function.
b) If Price is $60, what are the firm’s profits? Do they want to produce in the short run?
c) If price is $10, what are the firm’s profits? Do they want to produce in the short run?
Homework Answers
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6. Consider a perfectly firm who has a cost function of ?(?) = 3
+ 4?...
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...
1. Suppose that a firm operating in perfectly competitive industry has short-run cost function given by...
1. Suppose that a firm operating in perfectly competitive industry has short-run cost function given by C(q) = 5+2q+9. The market price is $10. (a) What is the profit-maximizing output level for this firm? (b) What is the firm's total revenue and profits at the profit-maximizing output? (c) What is the minimum price at which the firm will produce a positive level of output in the short run?
1. Suppose a perfectly competitive firm has a cost function described by TC = 200Q +...
1. Suppose a perfectly competitive firm has a cost function described by TC = 200Q + Q 2 + 225 Each firm’s marginal revenue is $240. a. Find the profit maximizing level of output. b. Is this a short-run or long-run situation? How do you know? c. Assuming that this firm’s total cost curve is the same as all other producers, find the long-run price for this good.
Suppose a firm has a total cost function, T C = 3/8(Q^2) − 50, and therefore...
Suppose a firm has a total cost function, T C = 3/8(Q^2) − 50, and therefore marginal costs of MC = 3/4Q. Assume the market for this firm’s goods is perfectly competitive with a market price, P = 24. (a) Given the information above, is the firm in the short-run or long-run? (1 point) (b) Write down the firm’s marginal revenue equation. (1 points) (c) How many units should the firm produce if it wants to maximize profit? (3 points)...
Consider a perfectly competitive market with many identical firms. Each firm has a long-run marginal cost...
Consider a perfectly competitive market with many identical firms. Each firm has a long-run marginal cost function given by LRMC(y) = y ^2 + 1. We do not know the firms’ LRAT C function, but we know that at a quantity of 3 it is equal to LRMC. In other words: LRAT C(3) = LRMC(3). (a) Find an expression for an individual firm’s long-run inverse supply curve: this will be p as a function of y. Note that it will...
Introduction to Microeconomics Deriving the Short-Run Supply Curve for the Perfectly Competitive Firm MC ATC AVC...
Introduction to Microeconomics Deriving the Short-Run Supply Curve for the Perfectly Competitive Firm MC ATC AVC Cost ($) 0 10 20 30 40 50 60 70 80 90 100 110 Outputs units) The figure illustrates the costs faced by a perfectly competitive firm. Use the figure to answer the following: 1) If the market price is $20, how much will the firm produce in order to maximize its profits? 2) If the market price is $15, how much will the...
Introduction to Microeconomics Deriving the Short-Run Supply Curve for the Perfectly Competitive Firm Cost $ 0...
Introduction to Microeconomics Deriving the Short-Run Supply Curve for the Perfectly Competitive Firm Cost $ 0 10 20 30 40 50 60 70 80 90 100 110 Outputs tunits) The figure illustrates the costs faced by a perfectly competitive firm. Use the figure to answer the following: 1) Based on the above, indicate on the graph, the short-run market supply curve for the perfectly competitive firm. 2) At what price will the firm shut-down? Will the firm leave the industry?...
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?
For this problem, please use a continuous cost function and allow the firm to produce non-integer...
For this problem, please use a continuous cost function and allow the firm to produce non-integer units of output. Consider a firm with production function: Q=8K^(.2) L^(.6) And which faces a wage of $10/unit and a rental rate on capital of $30/unit. a) Please write the long-run cost function of this firm. b) Please write the equation for the long-run marginal cost function and the long run average cost function of this firm. c) In the long-run, how much will...
2. (35 ots)magine 20 years into the future when a perfectly competutive market for teleportation ...
2. (35 ots)magine 20 years into the future when a perfectly competutive market for teleportation pads (denoted by a) has developed. There are many identical smali firms selling teleportation pads, each has the same cost function C()F+4q +3q2, where F represents the cost of capital used in teleportation pad productiorn a. Consider the short-run where capital is fixed such that F 1200. Determine the quantity a representative firm would produce if the market price is $130. What profits would it...
1. Suppose that a firm operating in perfectly competitive industry has short-run cost function given by C(q) = 5+2q+9. The market price is $10. (a) What is the profit-maximizing output level for this firm? (b) What is the firm's total revenue and profits at the profit-maximizing output? (c) What is the minimum price at which the firm will produce a positive level of output in the short run?
Introduction to Microeconomics Deriving the Short-Run Supply Curve for the Perfectly Competitive Firm MC ATC AVC Cost ($) 0 10 20 30 40 50 60 70 80 90 100 110 Outputs units) The figure illustrates the costs faced by a perfectly competitive firm. Use the figure to answer the following: 1) If the market price is $20, how much will the firm produce in order to maximize its profits? 2) If the market price is $15, how much will the...
Introduction to Microeconomics Deriving the Short-Run Supply Curve for the Perfectly Competitive Firm Cost $ 0 10 20 30 40 50 60 70 80 90 100 110 Outputs tunits) The figure illustrates the costs faced by a perfectly competitive firm. Use the figure to answer the following: 1) Based on the above, indicate on the graph, the short-run market supply curve for the perfectly competitive firm. 2) At what price will the firm shut-down? Will the firm leave the industry?...
2. (35 ots)magine 20 years into the future when a perfectly competutive market for teleportation pads (denoted by a) has developed. There are many identical smali firms selling teleportation pads, each has the same cost function C()F+4q +3q2, where F represents the cost of capital used in teleportation pad productiorn a. Consider the short-run where capital is fixed such that F 1200. Determine the quantity a representative firm would produce if the market price is $130. What profits would it...
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