4. A profit-maximizing firm has cost function C(Q) = 500 + 10Q + 200. 4a.What is the firm's marginal cost function? MC=10+40Q 4b. Find the firm's long-run supply function.
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- p= 130 - 2Q. The firm's cost curve is C(Q) = 20 + 6Q. What is the profit-maximizing solution? The profit-maximizing quantity is O. (Round your answer to two decimal places.) The profit-maximizing price is $. (round your answer to two decimal places.) What is the firm's economic profit? The firm earns a profit of $]. (round your answer to two decimal places.) How does your answer change if C(Q) = 100 + 6Q? The increase in fixed cost O A. causes the firm to increase both the price and quantity, and profit increases. O B. has no effect on the equilibrium price and quantity, but profit will decrease. OC. has no effect on the equilibrium quantity, but the equilibrium price increases and profit increases. OD. has no effect on the equilibrium quantity, but the equilibrium price increases and profit decreases.Would a cost function of 0 mean a linear line of supply curve? For example if 10 firms are on the market selling 10 goods and the cost function is 0?A price-taking firm's variable cost function is vC = 20°, where Qis its output per week. It has a sunk fixed cost of $256 per week. Its marginal cost is MC = 6Q°. a. What is the firm's supply function when the $256 fixed cost is sunk? Instructions: Enter your answer as a whole number. Q= (P/6)0.5 for P $| b. What is the firm's supply function when the fixed cost is avoidable? Instructions: Enter your answer as a whole number. Q= (P/6)0.5 for P2 $
- The profit function for a firm is given by n(q) = -q³ + 300q² – 10,800q – 4,000. a. Is the firm operating in the short-run or the long-run? How do you know? b. What is the output that maximizes profit for the firm? c. What is the maximized level of profit? d. In Excel or other software, provide a graph of the above profit function to confirm your mathematical results found above. Use output amounts ranging from 1 to 200. Put profit on the vertical axis and output on the horizontal axis.K A firm's profit function is (q) = R(q)-C(q)=100q- (190+40q+10q²). What is the positive output level that maximizes the firm's profit (or minimizes its loss)? What is the firm's revenue, variable cost, and profit? Should it operate or shut down in the short run? The output level at which the firm's profit is maximized is q = (Enter your response as a whole number.)40 - 2P and its total cost 5. A firm's demand function is Q function is defined as TC = 100 + 2Q + 0.25 Q? . Use these two functions to form the firm's profit function and then determine the level of output that yields the profit maximum. What is the level of profit at the optimum level of output?
- A price-taking firm's variable cost function is VC = 20³, where Q is its output per week. It has a sunk fixed cost of $108 per week. Its marginal cost is MC = 6Q². a. What is the firm's supply function when the $108 fixed cost is sunk? Instructions: Enter your answer as a whole number. Q = (P/6) 0.5 for Pz $| b. What is the firm's supply function when the fixed cost is avoidable? Instructions: Enter your answer as a whole number. Q = (P/6) 0.5 for Pz $ 216 ✪ 0= The short-run marginal and average cost curves for a firm are displayed below. When q = 2 and q = 5, the marginal cost is $3. When q 5, the average cost is $5. Assume the firm has a fixed cost of $5 and they can sell each unit of output at a price of $3 (p = 3). What is the profit- maximizing level of output for the firm in the short-run? Profit maximizing q = LA $ 5 3 2 5 MC AC qThe graph below shows the marginal cost (MC), average variable cost (AVC), and average total cost (ATC) curves for a firm in a competitive market. These curves imply a short-run supply curve that has two distinct parts. One part, not shown, lies along the vertical axis (quantity-0); this represents a condition of production shutdown. Where is the other part? Use the straight-line tool to drawit. To refer to the graphing tutorial for this question type, please click here Price and cost 18 15 14 13 12 10 19/21 SUBMIT ANSWER 13 OF 21 QUESTIONS C OMPLETED 28 MacBook Pro 금□ F7 F8 F9 F1o F2 F3 F5
- A profit-maximizing firm in a competitive market is currently producing 100 units of output. It has average revenue of $10, average total cost of $8, and fixed cost of $200. What is its profit? What is its marginal cost? What is its average variable cost?The relationship between the firm's average variable, average total, and marginal cost curves above: Marginal Reveue = Price = US $ 2.50 ; a) Use the graph to find the Firm's profit-maximizing output. b) If the firm maximizes its profit, how much profit does it make (about)? Should the firm stay in business? c) Will other firms with costs the same as Firms enter the market? Explain.Suppose that the long-run cost function for a perfectly competitive firm in the personal computer business is C(q) = 4g + 2500 for q> 0. How many units does this firm produce in the long-run? What will be the price in the long-run? What is the profit of the firm in the long-run? The firm produces type your answer..... units of output. The price is $ type your answer.... in the long-run. The firm's profit is $ type your answer.... the long-run. in