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 $11,400$ wheel bearings each year. This order has been stable for some time. Setup cost for$$ Wheel$-$Rite is $$$$41,$ and holding cost is $$$$0\mathrm{.}80$ per wheel bearing per year.$$ Wheel$-$Rite can produce $520$ wheel bearings per day.$$ Cal$-$Tex is a$$ just$-$in$-$time manufacturer and requires that $51$ bearings be shipped to it each business day.

Part $2$

$$a$)$ What is the optimum production$$ quantity? $11381138$ units $($round your response to the nearest whole$$ number$).$

Part $3$

$$b$)$ What is the maximum number of wheel bearings that will be in inventory at$$ Wheel$-$Rite? enter your response here units $($round your response to the nearest whole$$ number$).$