Chapter 4.2, Problem 23E

(a)

To determine

The nature of marginal cost from the following options such that daily cost to manufacture trinkets is given by the function $C\left(x\right)=-0.001x^2+0.3x+500$ dollars where x means the number of trinkets 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 manufacture trinkets is given by the function $C\left(x\right)=-0.001x^2+0.3x+500$ dollars where x (the number of trinkets) 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 manufacture trinkets is given by the function $C\left(x\right)=-0.001x^2+0.3x+500$ dollars where x (the number of trinkets) increases.