Solve the problem.
-A company is manufacturing a new digital watch and can sell all it manufactures. The cost (in dollars) is given by C(x) = 5000 + 2x, where the production output in one day is x watches. If production is increasing at
5 watches per day when production is 375 watches per day, find the rate of increase in cost.
A) $10 per day
B) $75 per day
C) $175 per day
D) $5 per day

Question

Quizplus · Accepted Answer

The rate of increase in cost is found by taking the derivative of the cost function C(x) = 5000 + 2x with respect to x, which gives C'(x) = 2. Since production is increasing at 5 watches per day, the rate of increase in cost is 2 * 5 = $10 per day.

Solve the Problem. -A Company Is Manufacturing a New Digital Watch and Can