3.1 A firm produces the output y with the production function y = f(x) = ln x. The factor price for the only Inputx is w, the outputprice is p. It holds p > w. Calculate the profit function.
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- A firm has the following demand function P=200-2Q and the average cost of AC=100/Q+3Q-20 a. Find the profit function. b. Estimate the marginal cost function. c. Obtain the production that maximizes the profit. d. Evaluate the average cost and the marginal cost at the maximising production level.cise 28. The production function for a price-taking firm is given by q = 2.5k0.4L0.4. What is the supply function q(v,w,p)? [Show your work]The table below shows the weekly marginal cost (MC) and average total cost (ATC) for Buddies, a purely competitive firm that produces novelty ear buds. Assume the market for novelty ear buds is a competitive market and that the price of ear buds is $6.00 per pair. Buddies Production Costs Quantity MC ATC of Ear Buds ($) ($) 25 2.20 30 2.02 2.17 35 2.45 2.21 40 3.57 2.38 45 4.00 2.56 50 5.46 2.85 55 5.93 3.13 60 8.53 3.58 Instructions: In part a, enter your answer as the closest given whole number. In parts b-d, round your answers to two decimal places. a. If Buddies wants to maximize profits, how many pairs of ear buds should it produce each week? pairs b. At the profit-maximizing quantity, what is the total cost of producing ear buds?
- 1/3 1/3 Assume y = f(x1, x2) = x1 x2 . If the input prices are w₁ and w₂ what is profit maximizing y level of output? What is the profit?The following graph plots daily cost curves for a firm operating in the competitive market for demin overalls. Hint: Once you have positioned the rectangle on the graph, select a point to observe its coordinates. PRICE (Dollars per overalls) 50 10 10 5 0 MC 2 ATC 8 18 QUANTITY (Thousands of overallises per day) AVC 10 20 Profit or Loss In the short run, given a market price equal to $15 per overalls, the firm should produce a daily quantity of On the preceding graph, use the blue rectangle (circle symbols) to fill in the area that represents profit or loss of the firm given the market price of $15 and the quantity of production from your previous answer. Note: In the following question, enter a positive number regardless of whether the firm earns a profit or incurs a loss. The rectangular area represents a short-run thousand per day for the firm. $ overallses.Suppose a firm that produces pints of gourmet ice cream has monthly fixed costs of $12,000. The variable costs come to $1.50 per pint produced. (for up to 40,000 pint (s)/(m)onth ) and the firm sells each pint of ice cream for $3. Find the firm's profit function..
- Assume that a firm in a competitive market faces the following cost information. If the market price for this firm's product is $40, calculate the profit maximizing level of output for this firm using marginal analysis. It may help to create your own cost table and fill in columns for Marginal Cost and Average Total Cost based on the Total Cost information below. a.What is the level of profit for this firm at the profit maximizing output? b.To convince yourself that the quantity you found is indeed the profit maximizing quantity, try calculating what the profit would be at the next higher level of output. What did you find? c. What do you predict will happen in this market over the long run?Suppose firm A charges $10 for its product. The marginal cost of producing each unit of the product is $3. Calculate the markup on price.The table below shows the weekly marginal cost (MC) and average total cost (ATC) for Buddies, a purely competitive firm that produces novelty ear buds. Assume the market for novelty ear buds is a competitive market and that the price of ear buds is $6.00 per pair. Buddies Production Costs Quantity MC ATC of Ear Buds ($) ($) 20 1.00 25 2.00 1.20 30 2.46 1.41 35 3.51 1.71 40 4.11 2.01 45 5.43 2.39 50 5.99 2.75 55 8.47 3.27
- The table below shows the weekly marginal cost (MC) and average total cost (ATC) for Buddies, a purely competitive firm that produces novelty ear buds. Assume the market for novelty ear buds is a competitive market and that the price of ear buds is $6.00 per pair. Buddies Production Costs MC ($) Quantity of Ear Buds 5 10 15 20 25 30 35 40 2.00 2.45 3.55 4.00 5.50 5.98 8.52 pairs ATC ($) 2.00 2.00 2.15 2.50 2.80 3.25 3.64 4.25 Check my work Instructions: In part a, enter your answer as the closest given whole number. In parts b-d, round your answers to two decimal places. a. If Buddies wants to maximize profits, how many pairs of ear buds should it produce each week? b. At the profit-maximizing quantity, what is the total cost of producing ear buds? c. If the market price for ear buds is $6 per pair, and Buddies produces the profit-maximizing quantity of ear buds, what will Buddies profit or loss be per week? d. Now assume the market price is $5.50 per pair, and Buddies produces the…Assume a competitive firm faces a market price of $120, and a cost curve of: C = 0.004q - + 25g + 750. Marginal cost (MC) equals MC =. (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E.g., a superscript can be created with the ^ character.) Ass O stv 13 MacBook Air 80 DII esc F9 F3 F4 F5 F6 F7 F1 @ 23 $ % & 1 2 3 7 Q W E R Y tab S F K caps lock C V M shift fn control option command この つ つ エ T リAt what output rate does the firm maximize profit or minimize loss?
