Chapter 2.6, Problem 27AYU

Challenge Problem Inventory Management A retailer buys $600$ USB Flash Drivers per year from a distributor. The retailer wants to determine how many drives to order, $x$, per shipment so that her inventory is exhausted just as the next shipment arrives. The processing fee is $\$15$ per shipment, the yearly storage cost is $\$1.60x$, and each drive costs the retailer $\$\mathrm{4.85.}$

Express the total yearly cost $C$ as a function of the number $x$ of drivers in each shipment.

Use a graphing utility to determine the minimum yearly cost and the number of drives per order that yields the minimum cost.