apters $11,$ S$11,$

Question $8,$ Problem $12\mathrm{.}20$

HW Score: $43\mathrm{.}52\%,3\mathrm{.}92$ of $9$ points

Part $1$ of $4$

Points: $0$ of $1$

Arthur Meiners is the production manager of Wheel$-$Rite, a small producer of metal parts. Wheel$-$Rite supplies Cal$-$Tex, a larger assembly company, with $9,600$ wheel bearin each year. This order has been stable for some time. Setup cost for Wheel$-$Rite is $$41,$ and holding cost is $$0\mathrm{.}50$ per wheel bearing per year. Wheel$-$Rite can produce $460$ wheel bearings per day. Cal$-$Tex is a just$-$in$-$time manufacturer and requires that $49$ bearings be shipped to it each business day.

a$)$ What is the optimum production quantity? $$ units $($round your response to the nearest whole number$).$