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 $10,200$ wheel bearings each year. This order has been stable for some time. Setup cost for$$ Wheel$-$Rite is $$$$39,$ and holding cost is $$$$0\mathrm{.}50$ per wheel bearing per year.$$ Wheel$-$Rite can produce $460$ wheel bearings per day.$$ Cal$-$Tex is a$$ just$-$in$-$time manufacturer and requires that $47$ bearings be shipped to it each business day.

Part $2$

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