Part $1$a$).$ What logistics support analysis needs to be conducted to ensure the efficient supply, storage, and availability of parts, accessories, and repair services for customers in a new motorboat dealership in the coastal region of Melbourne city, while also accommodating seasonal demand fluctuations? Decide on the feasibility of expanding the business to other coastal cities in Australia. Plan for day$-$to$-$day operations from an ILS perspective. $($Maximum $600$ word$).$ Part $1$b$).$ Suppose in the above motorboat dealership case, the potential customers arrive at an average rate of $2$ every four hours $($Poisson distributed arrival process$),$ and a sales staff takes $3$ hours to serve a customer $($service time is exponentially distributed$).$ The parking facility designed at the Motorboat dealership for the long motorboat towing vehicles can accommodate seven potential customers$$ vehicles in the bays. Determine the optimal number of sales$-$staff. Part $1$c$).$ Suppose the Motorboat dealership in part $($a$)$ above dealing in costly motorboats follows the policy of carrying a few units in stock and ordering for replenishment as soon as a motorboat is sold from the stock. The unit cost of the motorboat is $$100,000$ and the holding or carrying cost is $$8,000$ per unit per year. The management of Motorboat dealership believe that the shortage cost due to waiting for the motorboat is $$2,500$ 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 and a half month $(1\mathrm{.}5$ 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.