A manufacturer has found that marginal cost is $( 2 q + 1 ) e ^ { - 0.02 q }$ dollars per unit when q units have been produced.The total cost of producing the first 10 units is $100.What is the total cost of producing the first 30 units?
A)$545.39
B)$635.39
C)$1,124.68
D)$300.00

Question

Quizplus · Accepted Answer

To find the total cost of producing the first 30 units, integrate the marginal cost function from 0 to 30 and add the fixed cost of $100. The integral of $(2q + 1)e^{-0.02q}$ from 0 to 30 is approximately $535.39. Adding the fixed cost of $100 gives a total cost of $635.39.

A Manufacturer Has Found That Marginal Cost Is (2q+1)e−0.02q( 2 q + 1 ) e ^ { - 0.02 q }(2q+1)e−0.02q

A Manufacturer Has Found That Marginal Cost Is $( 2 q + 1 ) e ^ { - 0.02 q }$