We consider and simulate the supply chain under a wholesale price contract. As

mentioned, we use a retail price of $$10,$ a unit production cost of $$2\mathrm{.}50,$ and a

$($monthly$)$ demand that is normally distributed with mean $1,000$ and standard

deviation $200.$ The demand realizations are given in the spreadsheet.

a$.$ Under a wholesale price of $$5,$ what is the retailer$$s optimal order quantity?