Consider a newsvendor model setting where the unit selling price is $$11/$unit$,$ the unit cost is $$3/$unit$,$ and the unit loss of goodwill cost is $$5.$ Suppose that the items left over at the end of the inventory cannot be salvaged.a$.[1$ point$]$ What is the critical ratio?b$.[2$ point$]$ What is the optimal order quantity if the demand is a continuous random variable such that X~U$[80,120]?$c$.[2$ point$]$ What is the optimal order quantity if the demand is a triangular random variable such that the minimum value is $80,$ the maximum value is $120,$ and the most likely value is $90?$