Use the method of Lagrange multipliers to solve this exercise. Hercules Films is also deciding on the price of the video release of its film Bride of the Son of Frankenstein. Again, marketing estimates that at a price of p dollars it can sell q = 198,000 − 11,000p copies, but each copy costs $4 to make. What price will give the greatest profit?

Use the method of Lagrange multipliers to solve this exercise. Hercules Films is also deciding on the price of the video release of its film Bride of the Son of Frankenstein. Again, marketing estimates that at a price of p dollars it can sell q = 198,000 − 11,000p copies, but each copy costs $4 to make. What price will give the greatest profit?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

Section: Chapter Questions

Problem 17T: A T-shirt company can produce and sell x T-shirts per day. The total cost C (in dollars) for...

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A T-shirt company can produce and sell x T-shirts per day. The total cost C (in dollars) for producing x T-shirts is C=1480+6x, and the total revenue R (in dollars) is R=15x. Find the profit obtained by selling 225 T-shirts per day.
For exercises 17 and 18, use this scenario: A retired woman has $50,000 to invest but needs to make $6,000 a yearfrom the interest to meet certain living expenses. One bond investment pays 15% annual interest. The rest of it shewants to put in a CD that pays 7%. 17. If we let xbe the amount the woman invests in the 15% bond, how much will she be able to invest in the CD?
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