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 you are the manager of a watchmaking firm operating in a perfectly competitive market. Your...
Suppose you are the manager of a watchmaking firm operating in a perfectly competitive market. Your total cost of production in the short-run is given by ???? = 72 + 5? + 0.5? 2 (Note: The answer to this question must be hand-written.) a) Find the equation for the marginal cost function. b) If the market price is $100. How many watches should you produce to maximize profits? c) What will be your profit at a price of $100? d)...
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...
A firm’s profit function is given by π(q) = TR(q)-C(q) where TR is Total Revenue and C...
A firm’s profit function is given by π(q) = TR(q)-C(q) where TR is Total Revenue and C is total cost. If the profit function is π(q)=200q - (120+25q+25q^2), what is the output q , that maximizes the firm’s profit? What is the firm’s revenue, variable cost, and profit? Should the firm operate or shut down in the short run? (Hint: What is the condition for profit maximization?)
1. If each competitive firm in an industry has the short run cost function TC=50+5q+q2, and...
1. If each competitive firm in an industry has the short run cost function TC=50+5q+q2, and MC=5+2q. The market price is $35. a. What is the profit maximizing output level for each firm? b. What are the profits? c. Now, suppose that fixed costs were $250 instead of $50, so the firm faces the short run cost function TC=250+5q+q2. How does this change affect the firm’s output decision and profits? Should the firm continue to operate in the short run?
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 ____ .
Numerical Example A representative firm is operating in a perfectly competitive industry. The firm’s total cost,...
Numerical Example A representative firm is operating in a perfectly competitive industry. The firm’s total cost, TC, is given by the equation TC = 50 + 5q2 , where q is output. Based on this equation, the marginal cost, MC, is 10q. 1. If the output price is $100, what is the short-run profit-maximizing output? 2. How much profit does this firm make at that level of output? 3. What do you expect to happen in the market in the...
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...
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...
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