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 $10,700$ wheel bearings each year. This order has been stable for some time. Setup cost

for Wheel$-$Rite is $$42,$ and holding cost is $$0\mathrm{.}70$ per wheel bearing per year. Wheel$-$Rite can produce $510$ wheel

bearings per day. Cal$-$Tex is a just$-$in$-$time manufacturer and requires that $52$ bearings be shipped to it each business

day.

a$)$ What is the optimum production quantity?

units $($round your response to the nearest whole number$).$