Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Chapter 2, Problem 30P
A company manufacturers a product in the United States and sells it in England. The unit cost of manufacturing is $50. The current exchange rate (dollars per pound) is 1.221. The demand function, which indicates how many units the company can sell in England as a function of price (in pounds) is of the power type, with constant 27556759 and exponent −2.4.
- a. Develop a model for the company’s profit (in dollars) as a function of the price it charges (in pounds). Then use a data table to find the profit-maximizing price to the nearest pound.
- b. If the exchange rate varies from its current value, does the profit-maximizing price increase or decrease? Does the maximum profit increase or decrease?
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IM.82 A distributor of industrial equipment purchases specialized compressors for use in air conditioners. The regular price is $50, however, the manufacturer of this compressor offers quantity discounts per the following discount schedule:
Option Plan Quantity Discount
A 1 - 299 0%
B 300 - 1,199 0.50%
C 1,200+ 1.50%
The distributor pays $56 each time it places an order with the manufacturer. Holding costs are negligible (none) but they do earn 10% annual interest on all cash balances (meaning there will be a financial opportunity cost when they put cash into inventory). Annual demand is expected to be 10,750 units.
When there is no quantity discount (Option Plan A, the first row of the schedule listed above), what is the adjusted order quantity? (Display your answer to the nearest whole number.)
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Chapter 2 Solutions
Practical Management Science
Ch. 2.4 - Prob. 1PCh. 2.4 - Prob. 2PCh. 2.4 - Prob. 3PCh. 2.4 - Prob. 4PCh. 2.5 - Prob. 5PCh. 2.5 - Prob. 6PCh. 2.5 - Prob. 7PCh. 2.5 - Prob. 8PCh. 2.5 - Prob. 9PCh. 2.6 - Prob. 10P
Ch. 2.6 - Prob. 11PCh. 2.6 - Prob. 12PCh. 2.6 - Prob. 13PCh. 2.7 - Prob. 14PCh. 2.7 - Prob. 15PCh. 2.7 - Prob. 16PCh. 2.7 - Prob. 17PCh. 2.7 - Prob. 18PCh. 2.7 - Prob. 19PCh. 2 - Julie James is opening a lemonade stand. She...Ch. 2 - Prob. 21PCh. 2 - Prob. 22PCh. 2 - Prob. 23PCh. 2 - Prob. 24PCh. 2 - Prob. 25PCh. 2 - The file P02_26.xlsx lists sales (in millions of...Ch. 2 - Prob. 27PCh. 2 - The file P02_28.xlsx gives the annual sales for...Ch. 2 - Prob. 29PCh. 2 - A company manufacturers a product in the United...Ch. 2 - Prob. 31PCh. 2 - Prob. 32PCh. 2 - Assume the demand for a companys drug Wozac during...Ch. 2 - Prob. 34PCh. 2 - Prob. 35PCh. 2 - Prob. 36PCh. 2 - Prob. 37PCh. 2 - Suppose you are borrowing 25,000 and making...Ch. 2 - You are thinking of starting Peaco, which will...Ch. 2 - Prob. 40PCh. 2 - The file P02_41.xlsx contains the cumulative...Ch. 2 - Prob. 42PCh. 2 - Prob. 43PCh. 2 - The IRR is the discount rate r that makes a...Ch. 2 - A project does not necessarily have a unique IRR....Ch. 2 - Prob. 46PCh. 2 - Prob. 1CCh. 2 - The eTech Company is a fairly recent entry in the...
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