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 $10,000$ wheel bearings each year. This order has been stable for some time. The setup cost for wheel rite is $$50.$ And holding cost is $$50$ per wheel bearing per year. Wheel$-$rite can produce $500$wheel bearings pedr day. Cal$-$tex is just in time manufacturer and requires that $50$ bearings be shipped to it each business day.

i$)$ what is the optimum production quantity?

ii$)$ what is the maximum number of wheel bearings that will be in inventory at wheel$-$rite?

iii$)$how many production runs of wheel bearings will wheel rite in a year?

iv$)$ what is the total cost for wheel rite?