8. Problems and Applications Q8 Henry Potter owns the only well in town that produces clean drinking water. He faces the following demand, marginal revenue, and marginal cost curves: Demand: P=70-Q Marginal Revenue: MR = 70-20 Marginal Cost: MC = 10 + Q On the following graph, use the blue line (circle symbol) to graph Mr. Potter's demand curve. Then, use the black line (cross symbol) to graph his marginal revenue (MR) curve. Next, use the orange line (square symbol) to graph his marginal cost (MC) curve. Finally, use the grey point (star 80 75 00 50 40 30 20 10 8.10 -20 -30 40 40 40 -70 -40 0 10 20 40 Quantity (Units) 60 00 70 -o Demand MR -P MC 0 Proft-Maximization ?
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- 3. 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.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.Suppose Eileen runs a small business that manufactures shirts. Assume that the market for shirts is a competitive market, and the market price is $20 per shirt. The following graph shows Eileen's total cost curve. Use the blue points (circle symbol) to plot total revenue and the green points (triangle symbol) to plot profit for shirts quantities zero through seven (inclusive) that Eileen produces. 200 175 Total Revenue 150 125 Total Cost Profit 100 50 25 -25 1 3 4 6 7 QUANTITY (Shirts) Calculate Eileen's marginal revenue and marginal cost for the first seven shirts she 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. (?) 40 Marginal Revenue Marginal Cost 1. 5 6 7 8 QUANTITY (Shirts) Eileen's profit is maximized when she produces shirts. When she does this, the marginal cost of the last shirt she produces is $ which is v than the price Eileen receives…
- Suppose Becky runs a small business that manufactures shirts. Assume that the market for shirts is a competitive market, and the market price is $20 per shirt. The following graph shows Becky'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 shirts that Becky produces, including zero shirts. 200 175 Total Revenue 150 Total Cost 125 Profit 100 75 -25 1 2. 4 6. 7 QUANTITY (Shirts) TOTAL COST AND REVENUE (Dollars) 253. 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 ?Chapter 16 Homework PRICE (Thousands of dollars per fire engine) 220 Femi 200 180 160 140 120 100 80 60 40 20 0 0 True 1 False 2 4 56 7 QUANTITY (Fire engines) 3 8 Demand 9 10 increase production from 8 to 9 fire engines because the True or False: If alternatively Femi's HookNLadder were a competitive firm and $80,000 were the market price for an engine, decreasing its price from $80,000 to $40,000 would result in the same change in the production quantity and, thus, total revenue. Revenue Lost Revenue Gained dominates in this scenario.4. Profit maximization in the cost-curve diagram Suppose that the market for wind chimes is a competitive market. The following graph shows the daily cost curves of a firm operating in this market. Hint: After placing the rectangle on the graph, you can select an endpoint to see the coordinates of that point. 40 36 Profit or Loss 32 28 24 АТC 16 12 AVC 8 MC 4 + 2 4 6 8 10 12 14 16 18 20 QUANTITY (Thousands of wind chimes per day) 20 PRICE (Dollars per wind chime)
- ext pages In the following graph, indicate the area representing the Red Robin restaurant's profit when the demand curve is D, and the area representing its loss when the demand curve is D2. 1.) Using the rectangle drawing tool, shade in Red Robin's profit when demand is D₁. Label your area 'Profit.' 2.) Using the rectangle drawing tool, shade in Red Robin's loss when demand is D2. Label your area 'Loss.' Carefully follow the instructions above and only draw the required objects. Grapher MacBook Air Price (dollars per hamburger) MC ATC Q MR2 MR₁ Quantity (hamburgers per week) D2 D1 Clear all Check answerCalculate Iyana's marginal revenue and marginal cost for the first seven rompers they produce, 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. COSTS AND REVENUE (Dollars per romper) 40 35 30 25 20 15 10 0 0 1 2 3 4 5 6 7 8 QUANTITY (Rompers) Marginal Revenue Marginal Cost ? Iyana's profit is maximized when they produce a total of is $ , an amount rompers. At this quantity, the marginal cost of the final romper they produce than the price received for each romper they sell. At this point, the marginal cost of producing one more romper (the first romper beyond the profit maximizing quantity) is $ , an amount than the price received for each romper they sell. Therefore, Iyana's profit-maximizing quantity occurs at the point of intersection between the Because Iyana is a price taker, the previous condition is equivalent to curves.Suppose that the market for cashmere sweaters is a competitive market. The following graph shows the daily cost curves of a firm operating in this market. Hint: After placing the rectangle on the graph, you can select an endpoint to see the coordinates of that point. 100 90 Profit or Loss 80 70 60 40 ATC 30 20 MC AVC 10 10 20 30 40 50 60 70 80 90 100 QUANTITY (Thousands of sweaters per day) In the short run, at a market price of $45 per sweater, this firm will choose to produce 45,000 sweaters per day. On the preceding graph, use the blue rectangle (circle symbols) to shade the area representing the firm's profit or loss if the market price is $45 and the firm chooses to produce the quantity you already selected. Note: In the following question, enter a positive number, even if it represents a loss. The area of this rectangle indicates that the firm's would be thousand per day in the short run. PRICE (Dollars per sweater)