The weekly revenue for a product is given by R(x)=211.2x-0.042x², and the weekly cost is C(x) = 11,000+105.6x-0.084x² +0.00002x³, where x is the number of units produc and sold (a) How many units will give the maximum profit? (b) What is the maximum possible profit? (a) The number of units that will give the maximum profit is 1800 (Round to the nearest whole number as needed.)
The weekly revenue for a product is given by R(x)=211.2x-0.042x², and the weekly cost is C(x) = 11,000+105.6x-0.084x² +0.00002x³, where x is the number of units produc and sold (a) How many units will give the maximum profit? (b) What is the maximum possible profit? (a) The number of units that will give the maximum profit is 1800 (Round to the nearest whole number as needed.)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 85CR
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Transcribed Image Text:The weekly revenue for a product is given by R(x) = 211,2x - 0.042x2, and the weekly cost is C(x) = 11,000 + 105.6x – 0.084x2 + 0.00002x3, where x is the number of units produc
and sold.
(a) How many units will give the maximum profit?
(b) What is the maximum possible profit?
(a) The number of units that will give the maximum profit is 1800
(Round to the nearest whole number as needed.)
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