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Profit maximization level of output is the optimum output produced at the point where marginal revenue (MR) equals marginal cost(MC).
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- 11.2 Your college newspaper, The Collegiate Investigator, sells for 90¢ per copy. The cost of producing x copies of an edition is given by C(x) = 70 + 0.10x + 0.001x2 dollars. (a) Calculate the marginal revenue R'(x) and profit P'(x) functions. HINT [See Example 2.] R'(x) = P'(x) = (b) Compute the revenue and profit, and also the marginal revenue and profit, if you have produced and sold 500 copies of the latest edition. revenue $ profit $ marginal revenue $ per additional copy marginal profit $ per additional copy Interpret the results. The approximate from the sale of the 501st copy is $ . (c) For which value of x is the marginal profit zero?x = copiesInterpret your answer. The graph of the profit function is a parabola with a vertex at x = , so the profit is at a maximum when you produce and sell copies.A company is the sole producer of holographic TVs. The daily demand for these TVs is Q=10,200 - 100P, where Q is the quantity demanded and P is the price. The cost of producing the TVs is (note that this implies that marginal cost is equal to Q, MC = Q). What is the company’s total revenue schedule? What is the company’s marginal revenue schedule? What is the profit maximising number of TVs that the company must produce each day? What price should it charge per TV? What is the daily profit?You are running a chocolate factory and need to decide on the price to sell the chocolate as well as the quantity to produce. Demand curve; Q = 8.5 - 0.05 * P. The cost curve is C = 100 + 38Q. The business is a profit maximizer. 1) What is the best price to charge each week? 2) What is the best quantity to make each week? 3) What are the expected profits Is it possible to get this in an excel with equation formulas
- referring to the graph above, the profit-maximizing quantity is a. 7 b. more than 10 c. 10 d. 0Babe’s Bats (BB) sells baseball bats for children around the world. The firm faces a demand curve of Q=10-0.4P, where Q is measured in thousands of bats and P is dollars per bat. BB has a marginal cost curve of MC=5Q. What is BB’s marginal revenue curve (equation)? What is BB’s profit-maximizing output? Show the profit-maximizing decision graphically.Babe’s Bats (BB) sells baseball bats for children around the world. The firm faces a demand curve of Q=10-0.4P, where Q is measured in thousands of bats and P is dollars per bat. BB has a marginal cost curve of MC=5Q. A. What is BB’s marginal revenue curve (equation)? B. What is BB’s profit-maximizing output? C. Show the profit-maximizing decision graphically.
- Based on the following table: Output Price($) Total Costs($) 0 10 31 1 10 40 2 10 45 3 10 48 4 10 55 5 10 65 6 10 80 7 10 100 8 10 140 9 10 220 10 10 340 a. What is the profit-maximizing output? unitsA manufacturer of mountain bikes has the following marginal cost function: C′(q)=700/0.5q+2 where qq is the quantity of bicycles produced. When calculating the marginal revenue and marginal profit in this problem, use the approach given for the marginal cost and marginal revenue in the discussions in your textbook. a) If the fixed cost in producing the bicycles is $3200, find the total cost to produce 35 bicycles.Answer: $ b) If the bikes are sold for $250 each, what is the profit (or loss) on the first 35 bikes?Answer: $ c) What is the marginal profit on bike number 36?Answer: $Shakti Inc. has been granted a patent for its arnica toothache balm. The table to the right shows the demand and the total cost schedule for the firm. What is Shakti's profit minus maximizingoutput? A. 4 units B. 6 units C. 7 units D. 5 units Price per dose (Dollars) Quantity Demanded (Dose) Total Cost of Production (Dollars) $80 0 $80 72 1 82 64 2 88 56 3 100 48 4 124 40 5 164 32 6 208 24 7 268 16 8 340
- Caroline opens a lemonade stand for two hours. She spends $15 for ingredients and sells $50 worth of lemonade. In the same two hours, she could have mowed the neighbor's yard and earned $10. a. What are Caroline’s explicit and implicit costs? b. What is Caroline’s accounting profit? What is her economic profit? Show how you calculated each profit. The government imposes a $1,000 one-time license fee on all pizza restaurants. As a result, which of the following cost curves shift, and why or why not?a. Average total cost.b. Marginal Cost.c. Average Variable Cost.KidzPoses Inc., a profit-maximizing business, is the only photography business in town that specializes in portraits of small children. James, who owns and runs KidzPoses, expects to encounter an average of eight customers per day, each with a reservation price (shown in the following table). Assume James has no fixed costs, and his cost of producing each portrait is $12. Customer Reservation Price ($ per photo) 1 50 2 46 3 42 4 38 5 34 6 30 7…Habib Bank Limited estimates equation of demand of its product as: Q = 55 – 0.5P - (where P = price and Q = Quantity of output), and its total cost of production as TC = 20 + Q + 0.2Q2 Where TC = total cost and Q = Quantity of output) Write the equations of the firm’s costs, as a function of Q: Average Total Cost ATC? Average Variable Cost AVC? Average Fixed Cost AFC.? Marginal Cost MC? The output level that will maximize total profit and the amount of revenue and profit that Habib Bank would receive at optimal level of production.? The output level that minimizes average total cost.? please answer all questions
