An automobile repair shop charges the competitive market price of $16 per bike repaired. The firm's short-run total cost is given by STC(Q) = Q³/3. Son 3. Draw the shop's total revenue and total cost curves, and graph the total profit on the same diagram. Using your graph, label the point of profit-maximizing quantity and its profit level. 4. Suppose now the new price is P'. What is the profit-maximizing quantity as a function of P'. If the price increases by a factor of four (i.e. price: 4P'), how much does the profit-maximizing quantity increase?
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- The following graph shows Crest's demand curve, marginal-revenue (MR) curve, average-total-cost (ATC) curve, and marginal-cost (MC) curve. Use the black point (plus symbol) to indicate Crest's profit-maximizing output and price. (?) Price, Cost, Revenue Demand ATC O True MR Quantity of Crest Toothpaste True or False: Crest's profit is positive. + Profit Max5. The daily demand for rooms at a motel is given by P=100-2Q. Assume that the motel has 40 rooms. 5a. If total variable costs of running this motel are zero, find the price that maximizes profit and find the number of rooms rented at that price. Remember that profit is total revenue (i.e., TR = PQ) less total cost (i.e., the sum of variable costs and fixed costs). 5b. If the incremental cost of renting a room is $9 (i.e., the cost of paying the maid to clean the room, the cost of providing clean towels, the cost of the little pieces of chocolate that is placed on the bed, etc. is $9), find the price that maximizes profit and the number of rooms rented at that price.3. Johnny Rockabilly has just finished recording his latest CD. His record company's marketing department determines that the demand for the CD is as follows: Price Number of CDs $24 10 000 22 20 000 20 20 30 000 18 40 000 16 50 000 14 60 000 The company can produce the CD with no fixed cost and a variable cost of $5 per CD. a. Find total revenue for quantity equal to 10 000, 20 000, and so on. What is the marginal revenue for each 10 000 increase in the quantity sold? b. What quantity of CDs would maximize profit? What would be the price? What would be the profit? c. If you were Johnny's agent, what recording fee would you advise Johnny to demand from the record company? Why?
- 1.i) Assuming you are the managing director of a firm that produces goods: A,B and C .The price elasticity of demand for A is 1.2, for B it is 1.oo and C is 0.75. It is known that he's firm is experiencing serious cash flow problems and you have to increase total revenue as soon as possible. If you were in a position to set the prices for these goods, what would be your pricing strategy for each product ii) price falls from N$ 16 to N$ 12 per bottle and demand rises from 200 to 300 per bottle.calculate the PED using midpoint formula Output prices average (total)cost Total cost marginal cost Total profit/loss 10 10 -108 20 10 4 -48 30 10 5 3 40 10 6.20 40 50 10 8 60 60 10 10 60 2. i) fill in the gaps ii)in which market structure doess Johnson Electronics (Pty)Ltd operate? iii)what level of output maximizes the firms profitThe graph below plots the firm's total revenue curve: that is, the relationship between quantity and total revenue given by the two right columns in the table above. The five choices are also labeled. Finally, two black lines are shown; these lines are tangent to the green curve at points B and D. 90 81 72 63 54 В D 45 36 27 18 A E 100 200 300 400 500 600 700 800 QUANTITY (Dishwashers per year) TOTAL REVENUE (Thousands of dollars per year)14. A shop which sells T- shirts has a demand function and a total cost function given by the equations: P = 240 – 10Q and TC = 120 + 8 Q. a) Write down the equations for TR and Profit. b) Write down equation for MR and MC. c) Calculate the number of T- shirts which must be sold to maximize profit and Revenue.
- Suppose Hubert runs a small business that manufactures shirts. Assume that the market for shirts is a price-taker market, and the market price is $10 per shirt. The following graph shows Hubert'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 Hubert produces, including zero shirts. TOTAL COST AND REVENUE (Dollars) 125 100 75 50 25 -25 -50 0 0 1 2 ☐ ■ U 3 4 5 QUANTITY (Shirts) L 6 Total Cost 7 8 Total Revenue Profit ? Calculate Hubert's marginal revenue and marginal cost for the first seven shirts 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.3. Profit maximization using total cost and total revenue curves Suppose Ana runs a small business that manufactures shirts. Assume that the market for shirts is a perfectly competitive market, and the market price is $20 per shirt. 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 shirts that Ana produces, including zero shirts. TOTAL REVENUE, TOTAL COST, AND PROFIT (Dollars) Total Revenue A 125 100 Total Cost ☐ Profit 200 175 150 75 50 ༔་ཎྜ་ ྴ་སྐྱ ིི་ཐྭ་8་མ་° 1 2 3 4 5 6 7 8 QUANTITY OF OUTPUT (Shirts) (?) Calculate Ana'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. Note: Be sure to plot marginal values between the appropriate whole unit values. For instance, plot…Kasey Puzzle, Inc. sells geography-based puzzles. Kasey currently sells 25,000 units a month for $40 each, has variable costs of $20 per unit, and fixed costs of $300,000. Kasey Puzzle is considering increasing the price of its units to $60 per unit. This will not affect costs, but demand is expected to drop 20%. Should Kasey Puzzle increase the price of its product? с Multiple Choice O O Yes, profit will increase $500,000. No, profit will decrease $500,000. No, profit will decrease $300,000. Yes; profit will increase $300,000.
- The following graph plots daily cost curves for a firm operating in the competitive market for fitness trackers. Hint: Once you have positioned the rectangle on the graph, select a point to observe its coordinates. PRICE(Dollars pertracker) 100 90 70 60 50 40 20 10 0 0 MO ATC AVC 50 60 70 80 10 20 30 40 QUANTITY (Thousands of trackers per day) 90 100 Profit or Loss In the short run, given a market price equal to $45 per tracker, the firm should produce a daily quantity of trackers. 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 $45 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.Suppose Tim runs a small business that manufactures frying pans. Assume that the market for frying pans is a price-taker market, and the market price is $20 per frying pan. The following graph shows Tim'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 frying pans that Tim produces, including zero frying pans. 175 150 Total Revenue 125 Total Cost 100 Profit -25 -50 3 QUANTITY (Frying pans) 1 4 8 the firrt ceren foring nans he produces, and plot them on the following graph. Use the blue TOTAL COST AND REVENUE (Dollars)3. Profit versus total revenue A firm has total revenue (TR) and total cost (TC) curves as shown on the following diagram. To complete the graph, you will have to illustrate two distances with line segments. Determine the quantity of output that generates the maximum profit. Use the green points (triangle symbol) to indicate the amount of profit at this quantity of output. Then, determine the quantity of output that generates the maximum total revenue. Use the purple points (diamond symbol) to indicate the amount of revenue at this quantity of output. Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically. Cost Total Revenue, Total 20 18 16 14 10 6 4 2 0 C 0 1 O 0 C 2 ☐ O 0 O ■ 0 C TC 5 6 8 3 4 7 Quantity of Output (Output per day) The maximum profit this firm can earn is TR 9 10 " Maximum Revenue Maximum Profit (?) while the maximum total revenue it can earn is