Chapter 4.2, Problem 24E

(a)

To determine

The nature of marginal cost from the following options such that daily cost to imitation oil paintings is given by the function $C\left(x\right)=0.1x^2-3.5x+500$ dollars where x (the number of oil paintings) increases, options are given below:

(A) increases

(B) decreases

(C) increases, then decreases

(D) decreases, then increases

(b)

To determine

The nature of average cost from the following options such that daily cost to imitation oil paintings is given by the function $C\left(x\right)=0.1x^2-3.5x+500$ dollars where x (the number of oil paintings) increases, options are given below:

(A) increases

(B) decreases

(C) increases, then decreases

(D) decreases, then increases

(c)

To determine

The relation between marginal cost and average cost when $x=100$ from the following options such that daily cost to imitation oil paintings is given by the function $C\left(x\right)=0.1x^2-3.5x+500$ dollars where x (the number of oil paintings) increases: