4. A puppet maker calculates that the yearly cost of running his manufactory is $14,000. Additionally it costs him $60 to create each of his puppets. The price per puppet is determined by the following price-demand equation: p=500–2x a. Find the Cost equation for the total number of puppets produced and sold Find the Revenue equation for the total number of puppets produced and sold b. c. How many puppets does he need to make and sell to break even? d. Use the Cost and Revenue equations to find the Profit function What is the price that he needs to charge if he wants to sell exactly 80 puppets? e.
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- 2. Firm A makes and sells motor cycles. The total cost of each cycle is the sum of the costs of frames, assembly and engine. The firm produces its own engines according to the cost equation C₁=250,000 + 1,000Q +5Q² The cost of frames and assembly is $2,000 per cycle. Monthly demand for cycles is given by the inverse demand equation: P = 10,000-30Q Calculate the MC of producing an additional engine.Use the table below to calculate the accounting and economic profit for Abner's Apple Art. Item Amount Total revenue $250 Costs Apples $30 Utilities $20 Lease $21 Abner's forgone wages $80 Numbers in the table are in thousands What is Abner's Apple Art's accounting profit? Accounting profit = $ thousand What is Abner's Apple Art's economic profit? Economic profit = $ thousandbo Use the table below to calculate the accounting and economic profit for Abner's Apple Art. Item Macmillan Learning Total revenue Costs Apples Utilities Lease Abner's forgone wages Numbers in the table are in thousands What is Abner's Apple Art's accounting profit? What is Abner's Apple Art's economic profit? Amount $220 $30 $20 $20 $70 Accounting profit = $ Economic profit = $ thousand thousand
- Suppose Felix runs a small business that manufactures frying pans. Assume that the market for frying pans is a competitive market, and the market price is $20 per frying pan. The following graph shows Felix's total cost curve. Use the blue points (circle symbol) to plot total revenue and the green points (triangle symbol) to plot profit for frying pans quantities zero through seven (inclusive) that Felix produces. TOTAL COST AND REVENUE (Dollars) 200 175 150 125 100 75 50 25 0 -25 0 1 ● ^ 2 O ☐ A ☐ A 3 4 5 QUANTITY (Frying pans) O ☐ 6 Total Cost ☐ 7 8 o Total Revenue Profit ? image 1 Calculate Felix's marginal revenue and marginal cost for the first seven frying pans he produces, and plot them on the following graph. Use the blue points (circle symbol) to plot marginal revenue and the orange points (square symbol) to plot marginal cost at each quantity.100 90 80 70 60 ATC 50 40 30 20 AVC МС О 10 + 0 0 5 10 15 20 30 35 40 45 50 QUANTITY (Thousands of shirts) or each price in the following table, use the graph to determine the number of shirts this firm would produce in order to maximize its profit. Assume hat when the price is exactly equal to the average variable cost, the firm is indifferent between producing zero shirts and the profit-maximizing uantity. Also, indicate whether the firm will produce, shut down, or be indifferent between the two in the short run. Lastly, determine whether it will nake a profit, suffer a loss, or break even at each price. Price Quantity (Dollars per shirt) (Shirts) Profit or Loss? Produce or Shut Down? Shut down 10 20,000 Loss Shut down 20 10,000 Loss Shut down 32 5,000 Loss Either 0 or 37,500 Shut down 40 Loss 25 COSTS (Dollars)coit ad Fifai oriens diss ܠܫܐ -D. Prufe maximirudcn uni hharat-ade mariet prioris ܗ ܕ Sapietne Sarei nuts a imal haats that manum: a Are a e $$ gar Hat The following graph shows Dames total cost curve Use the blue points (circle symbel) to plot total revenue and the green points (triangle symbol) to plat profft for shirts quanties zero through sever (inclusive) that Darnell produces A< ¥UAnd 10 Tripl ܡܢܐ ܕ ܚ ܠܚܝܬ Total Co ܀ ܀
- Consider the competitive market for sports jackets. The following graph shows the marginal cost (MC), average total cost (ATC), and average variable cost (AVC) curves for a typical firm in the industry. 72 16 AVC 16 24 40 QUANTITY (Thousards of jaats) For each price in the following tabie, use the graph to determine the number of jackets this firm would produce in arder to maximize its profie. Assume that when the price is exacty equal to the average variabie cost, the firm is indifferent between producing zero jackets and the proft-maximizing quandity. Also, indicate whether the fiem wil produce, shut down, or be indiferent between the two in the short run. Lastiy, determine whether e w make a prafit, suffer a loss, ar break even at each price. Price Quantity (Dollars per jacket) (Jackets) Produce or Shut Down? Profit or Loss? 4 12 36 48 603. Suppose that ABC company plans to build a subway train to provide better alternatives for Filipino commuters to avoid heavy traffic and delay during rush hour. Apparently, the subway can last up to 50 years only that its cost $ 5.5 million to build it. Assuming that it cost nothing for its maintenance. Consider the table below that shows potential demand of the subway train of the ABC company. For now, disregard the potential variety of the passenger's demographic.Aplia Homework: Production and Cost in the Firm 4. Profit maximization using total cost and total revenue curves Suppose Ana runs a small business that manufactures teddy bears. Assume that the market for teddy bears is a price-taker market, and the market price is $10 per teddy bear. The following graph shows Ana's total cost curve. Use the blue points (circle symbol) to plot total revenue, and the green points (triangle symbol) to plot profit for the first seven teddy bears that Ana produces, including zero teddy bears. 125 100 75 P 0 2 QUANTITY (Teddy bears) 6 Total Cost ☐ 8 *** Total Revenue A Profit (?)
- 3. Profit maximization using total cost and total revenue curves Suppose Bob runs a small business that manufactures teddy bears. Assume that the market for teddy bears is a competitive market, and the market price is $25 per teddy bear. The following graph shows Bob's total cost curve. Use the blue points (circle symbol) to plot total revenue and the green points (triangle symbol) to plot profit for teddy bears quantities zero through seven (inclusive) that Bob produces. TOTAL COST AND REVENUE (Dollars) 200 175 150 125 100 75 50 25 0 -25 O ☐ ☐ 0 1 2 3 4 5 QUANTITY (Teddy bears) ☐ 6 Total Cost 7 8 O Total Revenue Profit ?Suppose that a paper mill "feeds" a downstream box mill. For the downstream mill, the marginal profitability of producing boxes dedlines with volume. For example, the first unit of boxes increases earnings by $60, the second by $54, the third by $48, and so on, until the tenth unit increases profit by just $6. The cost the upstream mill incurs for producing enough paper (one "unit" of paper) to make one unit of boxes is $6.50. Assume the two mills operate as separate profit centers, and the paper mill sets the price of paper. It follows that the marginal profitability of boxes represents the highest price that the box division would be willing to pay the paper division for boxes.. Furthermore, assume that fixed costs are $0 for the paper mill. The following table summarizes the quantity, total revenue, and marginal costs from the perspective of the paper mill for selling paper to the box mill at various prices.Tips ips The following graph plots daily cost curves for a firm operating in the competitive market for instant pots. 100 PRICE (Dollars per instant pot) 8888 2 2 2 2 10 o ATC AVC MC ㅁㅁ 0 5 10 15 20 25 30 35 40 45 50 QUANTITY (Thousands of instant pots) Using the following table, for each price level, calculate the optimal quantity of units for the firm to produce. Using the data from the graph to determine the firm's total variable cost, calculate the profit or loss associated with producing that quantity. Assume that if the firm is indifferent between producing and shutting down, it will choose to produce. (Hint: Select purple points [diamond symbols] on the graph to receive exact average variable cost information.) Price (Dollars per instant pot) Quantity (Instant pots) Total Revenue (Dollars) Fixed Cost (Dollars) Variable Cost (Dollars) Profit (Dollars) 25.00 1,600,000 70.00 1,600,000 100.00 1,600,000 If the firm shuts down, it must incur its fixed costs (FC) in the short run. In…