From experience, it appears that the demand for the E$10$Y over a three$-$month interval is normally distributed with a mean of $60$ and a variance of $36.$ The cost of holding an E$10$Y for one year is $$500.$ Emergency shipments cost $$250$ per car over and above normal shipping costs.

How many cars should BYOD$-$Me$$xico purchase every three months?

Repeat the calculations, assuming that excess demands are back$-$ordered from one three$-$month

period to the next. Assume a loss$-$of$-$goodwill cost of $$100$ for customers having to wait until the

next three$-$month period and a cost of $$50$ per customer for bookkeeping expenses.

Repeat the calculations, assuming that when BYOD$-$Me$$xico is out of stock of E$10$Ys$,$ the customer

will purchase the car elsewhere. Currently Tesla, but soon, the Olinia. In this case, assume that the cars cost BYOD$-$Me$$xico and average of $$10,000$ and sell for an average of $$13,500.$ Ignore loss$-$ of$-$goodwill cost for this calculation.