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 $11,500$ wheel

bearings each year. This order has been stable for some time. Setup cost for Wheel$-$Rite is $$38,$ and holding cost is $$0\mathrm{.}60$ per wheel bearing per year. Wheel$-$Rite can

produce $480$ 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$).$