Chapter 12.5, Problem 1MP

(A)

To determine

To graph: The daily cost function $C\left(x\right)=-7.5x^2+305x+625$ for the interval $0\le x\le 20$ and calculate the change in cost from 5 to 10.

(B)

To determine

To graph: The marginal cost function $C^{\prime }\left(x\right)$ for the interval $0\le x\le 20$ and find the area between $C^{\prime }\left(x\right)$ and x-axis from 5 to 10 using geometric formula.

(C)

To determine

To compare: The results obtained in part (A) and part (B).