You are nearing the end of an inventory management simulaon game and today you will place one last order from your supplier to last for the remaining days of the game. Daily demand is $25$ units per day and the coefficient of variaon of daily demand is $0\mathrm{.}5.$ You currently have $200$ units of inventory on hand and your supplier can deliver whatever you request in just a few days. You must pay the supplier $$70$ per unit you order. There are $30$ days le in the game. If you run out of stock, any excess demand is lost. The sales price is $$100.$ If you have stock le over at the end of the game you can sell to a salvage company for $$10$ per unit. Compute the following:a$.$ The opmal quanty to buy from the supplier, rounded to the nearest whole number;b$.$ The expected shorall $($lost sales$),$ in units $($rounded to one decimal place$)$; andc. The expected leover stock, in units $($rounded to one decimal place$).$