$1.$ Acme Athletics, based in Sonoma, CA$,$ sells wooden baseball bats. They purchase bats from a manufacturer at $$27$ per bat and order in quantities of $500.$ Their inventory carrying costs are $20\%$ and the cost of placing an order is $$50.$ Based on the sales forecast that follows, calculate the following: a$.$ EOQ b$.$ Annual purchase cost C$.$ Number of orders placed per year d$.$ Annual inventory carrying cost Annual ordering cost e$.$ f$.$ Annual total cost