Part b). Suppose the Motorboat dealership in part (a) above dealing in costly motorboats follows the policy of carrying a few units in stock and ordering for replenishment as soon as a motorboat is sold from the stock. The unit cost of the motorboat is $60,000 and the holding or carrying cost is $5,000 per unit per year. The management of Motorboat dealership believe that the shortage cost due to waiting for the motorboat is $2,000 per unit short per month. The demand is seen to be Poisson distributed with an average rate of 2 units per month and the replenishment lead time can be considered to be exponential with a mean of one month. Considering the system as an M/M/s queuing system, find the optimal stock to be carried which can minimize the sum total of carrying and shortage costs