Question

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 + 0.01n^2.

Use the chain rule to find dP/ dn n = 30 . HINT [See Example 3.] (Round your answer to the nearest whole number.)

dP/ dn n = 30 =_______

Interpret the result.

At an employment level of 30 engineers, Paramount will increase its profit at a rate of $________ per additional engineer hired.

Answer 1