Yogi Maharaj, Inc. is one of the leading retailers of specialty donuts with stores in most major US cities. They recently changed from a price of $3.80 per dozen donuts, at which they sold 19,700 dozen donuts per week to a new, higher price of $4.77 per dozen donuts. At this new price point, Yogi has sold 15,700 donuts. Variable costs per dozen donuts are estimated at $0.56. What is the optimal (profit maximizing) price for a dozen of Yogi's donuts?
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- A firm that sells e-books - books in digital form downloadable from the Internet - sells all e-books relating to do-it-yourself topics (home plumbing, gardening, and so on) at the same price. At present, the company can earn a maximum annual profit of $35,000 when it sells 10,000 copies within a year's time. The firm incurs a 35-cent expense each time a consumer downloads a copy, but the company must spend S150,000 per year developing new editions of the e-books. The company has determined that it would earn zero economic profits if price were equal to average total cost, and in this case it could sell 20,000 copies. Under marginal cost pricing, it could sell 100,000 copies. In the short run, to the nearest cent, what is the profit-maximizing price of e-books relating to do-it-yourself topics? $ 18.85. At the profit-maximizing quantity, to the nearest cent, what is the average total cost of producing e-books? STim Marlow, the owner of The Clock Works, wanted to know how many clocks he must sell in order to cover his fixed cost at a given price. Tim knew that he had a fixed cost of $20,000 for equipment, taxes, and a bank loan. He also had a unit variable cost of $20 per clock for labor, materials, and promotional costs. If the price Tim charges for each of his clocks is $40, what is his break-even point quantity?Q3
- A local newspaper currently has 84,000 subscribers at a quarterly charge of $30.Market research has suggested that if the owners raise the price to $32, they wouldlose 5,000 subscribers. Assuming that subscriptions are linearly related to theprice, what price should the newspaper charge for a quarterly subscription tomaximize their revenue?a) Find the cost function (Hint: find slope and use point-slope form to find thecost function) b) Find the revenue function c) Find the maximum revenue d) Find the profit functionOnly typed solutionA firm that sells e-books - books in digital form downloadable from the Internet - sells all e-books relating to do-it-yourself topics (home plumbing, gardening, and so on) at the same price. At present, the company can earn a maximum annual profit of $45,000 when it sells 20,000 copies within a year's time. The firm incurs a 30-cent expense each time a consumer downloads a copy, but the company must spend $125,000 per year developing new editions of the e-books. The company has determined that it would earn zero economic profits if price were equal to average total cost, and in this case it could sell 20,000 copies. Under marginal cost pricing, it could sell 100,000 copies. In the short run, to the nearest cent, what is the profit-maximizing price of e-books relating to do-it-yourself topics?
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