Mathematical Methods in the Physical Sciences

3rd Edition

ISBN: 9780471198260

Author: Mary L. Boas

Publisher: Wiley, John & Sons, Incorporated

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Textbook Question

Chapter 2.5, Problem 31P

Find the absolute value of each of the following using the discussion above. Try to do simple problems like these in your headâ€”it saves time.

5 − 2 i 5 + 2 i

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Chapter 2.5, Problem 30P

Chapter 2.5, Problem 32P

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In a business application, revenue results from the sale of a number of items. For example, if an item can be sold for $150 and we let n represent the number of units sold, then we can form the following revenue function: R = 150m Use this formula to determine the revenue generated from selling units, R = 150(100) = 15,000 Therefore, the revenue generated from selling 100 items is $15,000. Typically, selling items does not represent the entire story. There are a number of costs associated with the generation of revenue. For example, if there is a one-time set-up fee of $5,280 and each item costs $62 to produce, then we can form the following cost function: C = 62n +5,280 Here n represents the number of items produced. Use this formula to determine the cost associated with producing n = 100 units, C = 62(100) + 5,280 = 11,480 Therefore, the cost associated with producing 100 items is $11,480. Profit is revenue less costs, Profit Revenue - Cost = 15,000 11, 480 = 3,520

The monthly revenue of a certain company is given by R= 1200p-9p², where p is the price in dollars of the product the company manufactures. At what price will the revenue be $14,400 if the price must be greater than $50? The revenue will be $14,400 when the price of the product is $ (Simplify your answer.) -

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Mathematical Methods in the Physical Sciences

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