$3/4/24,6$:$38$ PM

$21.$ 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 $10,600$ wheel bearings each year. This order has been stable for some time. Setup cost for Wheel$-$Rite is $$38,$ and holding cost is $$0\mathrm{.}60$ per wheel bearing per year. Wheel$-$Rite can produce $500$ wheel bearings per day. Cal$-$Tex is a just$-$in$-$fime manufacturer and requires that $48$ bearings be shipped to it each business day.

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

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

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

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