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)
(d) How much profit will the firm make when it maximizes profits? (2 points)
(e) Write an equation for the firm’s short-run average variable cost of production. (2 points) (f) Write the condition for whether a firm should continue to operate or shut down. Should the firm in this example shut down or operate? (2 points)
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Suppose a firm has a total cost function, T C = 3/8(Q^2) − 50,
and therefore...
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?
Question 31 2.5 pts 31. A firm in a perfectly competitive industry has total revenue of...
Question 31 2.5 pts 31. A firm in a perfectly competitive industry has total revenue of $200,000 per year when producing 1,000 units of output per year. In this case its average revenue is $200 and its marginal revenue is __ zero. also $200 less than $200. O greater than $200 Question 32 2.5 pts 32. In a perfectly competitive industry, the market price of the product is $12.Firm A is producing the output at which average total cost equals...
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) A perfectly competitive firm faces the following Total revenue, Total cost and Marginal cost functions:...
1) A perfectly competitive firm faces the following Total revenue, Total cost and Marginal cost functions: TR = 10Q TC = 2 + 2Q + Q2 MC = 2 + 2Q At the level of output maximizing profit , the above firm's level of economic profit is A) $0 B) $4 C) $6 D) $8 *Additional information after I did the math: The price this firm charges for its product is $10, the level of output maximizing profit is 4...
Consider the following cost curve for a firm in a competitive industry where the market price...
Consider the following cost curve for a firm in a competitive industry where the market price equals $200 C = 1/3q3+4q+750 What is the firm's marginal cost (MC)? MC = At what level of output does the firm maximize profits (minimize losses)? Profit is maximized at __units of output. (Round your answer to two decimal places.) What is the firm's profit maximizing price? The profit-maximizing price is $___ In the short-run, this firm should produce ____ .
A competitive firm's cost of producing q units of output is C = 18 + 4q + q^2 Its corresponding m...
A competitive firm's cost of producing q units of output is C = 18 + 4q + q^2 Its corresponding marginal cost is MC = 4 + 2q. a. The firm faces a market price p = $24. Create a spreadsheet with q = 0, 1, 2, ..... 15, where the columns are q, R, C, VC, AVC, MC, and profit. Determine the profit-maximizing output for the firm and the corresponding profit. Should the firm produce this level of output...
Suppose a perfectly Competitive firms minimum average variable cost is $1 when it produces 50. If...
Suppose a perfectly Competitive firms minimum average variable cost is $1 when it produces 50. If the price is $2 and the firm's marginal cost is $2 the firm should Continue to produce, but produce less than 50 Continue to operate, but produce more than 50 Shut down Continue to produce 50 To maximize economic profit of perfectly competitive firm: will sell its goods below the market price all of the above will sell its goods above the market price...
A firm produces a product in a competitive industry and has a total cost function (TC)...
A firm produces a product in a competitive industry and has a total cost function (TC) of TC(a) 60+4q+2q2 and a marginal cost function (MC) of MC(q) = 4 + 4q. At the given market price (P) of $20, the firm is producing 4.00 units of output. Is the firm maximizing profit?V What quantity of output should the firm produce in the long run? The firm should produce unit(s) of output. (Enter your response as an integer.)
The following graph shows the demand and cost curves for a perfectly competitive firm. The profit-maximizing...
The following graph shows the demand and cost curves for a perfectly competitive firm. The profit-maximizing firm will: MC ATC // AVC Multiple Choice shut down. ο produce with short-run losses. O produce with long-run economic profits. ο produce with short-run economic profits.
A representative firm in a perfectly competitive, constant cost industry has a cost function T C...
A representative firm in a perfectly competitive, constant cost industry has a cost function T C = 100+4Q 2+ 100Q. (a) What are this firm fixed cost, variable cost and marginal cost? (b) What is the long-run equilibrium price for this industry? (c) If the market demand is Q = 1000 − P , how many firms will operate in this long-run equilibrium? (d) What is the most that this firm would be willing to pay for the exclusive right...
Question 31 2.5 pts 31. A firm in a perfectly competitive industry has total revenue of $200,000 per year when producing 1,000 units of output per year. In this case its average revenue is $200 and its marginal revenue is __ zero. also $200 less than $200. O greater than $200 Question 32 2.5 pts 32. In a perfectly competitive industry, the market price of the product is $12.Firm A is producing the output at which average total cost equals...
A firm produces a product in a competitive industry and has a total cost function (TC) of TC(a) 60+4q+2q2 and a marginal cost function (MC) of MC(q) = 4 + 4q. At the given market price (P) of $20, the firm is producing 4.00 units of output. Is the firm maximizing profit?V What quantity of output should the firm produce in the long run? The firm should produce unit(s) of output. (Enter your response as an integer.)
The following graph shows the demand and cost curves for a perfectly competitive firm. The profit-maximizing firm will: MC ATC // AVC Multiple Choice shut down. ο produce with short-run losses. O produce with long-run economic profits. ο produce with short-run economic profits.
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