Paramount Electronics has an annual profit given by P = −100,000 + 5,000q − 0.25q2 dollars, where q is the number of laptop computers it sells each year. The number of laptop computers it can make and sell each year depends on the number n of electrical engineers Paramount employs, according to the equation q = 30n + 0.01n2. Use the chain rule to find dP dn n = 40
Paramount Electronics has an annual profit given by P = −100,000 + 5,000q − 0.25q2 dollars, where q is the number of laptop computers it sells each year. The number of laptop computers it can make and sell each year depends on the number n of electrical engineers Paramount employs, according to the equation q = 30n + 0.01n2. Use the chain rule to find dP dn n = 40
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Paramount Electronics has an annual profit given by
P = −100,000 + 5,000q − 0.25q2 dollars,
where q is the number of laptop computers it sells each year. The number of laptop computers it can make and sell each year depends on the number n of electrical engineers Paramount employs, according to the equation
q = 30n + 0.01n2.
Use the chain rule to find
.
HINT [See Example 4.] (Round your answer to the nearest whole number.)
| dP |
| dn |
| n = 40 |
| dP |
| dn |
| n = 40 |
Interpret the result.
At an employment level of engineers, Paramount will increase its profit at a rate of $ per additional engineer hired.
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