Chapter 11.2, Problem 11E

(a)

To determine

To calculate: The marginal cost function and the rate of increase of cost of iPhones when $x=10,000$ such that its cost is given by the function $C\left(x\right)=400,000+160x+0.001x^2$ dollars where x is the number of manufacturing $32$ GB iPhone in an hour. Compare the answer with the cost of producing the $10,{001}^{\text{st}}$ iPhone.

(b)

To determine

To calculate: The average cost function $\overline{C}$ and $\overline{C}\left(10,000\right)$ such that its cost is given by the function $C\left(x\right)=400,000+160x+0.001x^2$ dollars where x is the number of manufacturing $32$ GB iPhone in an hour.

(c)

To determine

Whether the average cost is rising or falling at a production of $10,000$ iPhones from the answers derived in part (a) and part (b) such that cost of iPhone is given by the function $C\left(x\right)=400,000+160x+0.001x^2$ dollars where x is the number of manufacturing $32$ GB iPhone in an hour.