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? $1138$ 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? $1026$ units $($round your response to the nearest whole$$ number$).$

Part $4$

$$c$)$ How many production runs of wheel bearings will$$ Wheel$-$Rite have in a$$ year? $10\mathrm{.}01$ runs $($round your response to two decimal$$ places$).$

Part $5$

$$d$)$ What is the total setup plus holding cost for$$ Wheel$-$Rite? $$$enter your response here $($round your response to two decimal$$ places$).$