$4\mathrm{.}2.$ Arthur Phosa is the operations manager of AMF&M Inc., a manufacturer of metal parts. AMF&M supplies $100000$ wheel bearings each year to WPT Enterprises, a larger assembly Plant. This supply arrangement has been stable for several years. Setup cost for AMF&M is R$800,$ and holding cost is R$1\mathrm{.}20$ per wheel bearing per year. AMF&M can produce $500$ wheel bearings per day. WT Enterprises is a just$-$in$-$time manufacturer and requires that $50$ bearings be shipped to it each business day$\mathrm{.}4\mathrm{.}2\mathrm{.}1.$ What is the optimum production quantity?$4\mathrm{.}2\mathrm{.}2.$ What is the total setup and holding costs for AMF&M$?4\mathrm{.}2\mathrm{.}3.$ How many production runs of wheel bearings will AMF&M have in a year?