Arthur Meiners is a production manager for Wheel$-$Rite, a small metal parts manufacturer. Wheel$-$Rite supplies Cal$-$Tex, a major assembly company, with $10,000$ wheel hubs each year. This order has been stable for some time. Wheel$-$Rite$$s setup cost is $$40,$ and its holding cost per unit per year is $$0\mathrm{.}60.$ Wheel$-$Rite produces $50$ wheel hubs per day. Cal$-$Tex is a just$-$in$-$time manufacturer and requires shipments of $50$ units each business day. a$)$ What is the optimal production lot? b$)$ How many hubs should Wheel$-$Rite hold in inventory at most? c$)$ How many production runs of hubs will Wheel$-$Rite make in a year? d$)$ What is the total setup cost and total holding cost for Wheel$-$Rite?