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Part $1$

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 $10$ comma $800$ wheel bearings each year. This order has been stable for some time. Setup cost for$$ Wheel$-$Rite is $$$$41,$ and holding cost is $$$$0\mathrm{.}40$ per wheel bearing per year.$$ Wheel$-$Rite can produce $540$ wheel bearings per day.$$ Cal$-$Tex is a$$ just$-$in$-$time manufacturer and requires that $50$ bearings be shipped to it each business day.

Part $2$

$$a$)$ What is the optimum production$$ quantity?

$$

$1540$ units $($round your response to the nearest whole$$ number$).$