Acme Distributors has an annual demand for an airport metal detector of 1,475 units. The cost of a typical detector to Acme is $365. Carrying cost is estimated to be 13.5% of the unit cost, and the ordering cost is $35 per order. If Karen Powell, the owner, orders in quantities of 350 or more, she can get a 7% discount on the cost of the detectors. a. What is the optimal order quantity, given the current ordering policy (without price breaks)?b. What price should Acme pay per unit, considering thWwprice breaks?c. What is the total cost at the optimal behavior?