PA $13-5($Algo$)$ Teddy Bower is an outdoor clothing and accessories chain...

Teddy Bower is an outdoor clothing and accessorles chain that purchases a line of parkas at $$10$ each from its Asian supplier. TeddySports. Unfortunately, at the time of the order placement, demand is still uncertaln: Teddy Bower forecasts that its demand is normally distributed with a mean of $2,200$ and a standard deviation of $1,000.$ Teddy Bower sells these parkas at $$24$ each. Unsold parkas have little salvage value; Teddy Bower simply gives them away to a charlty $($and also doesn't collect a tax benefit for the donation$).$ Use Table $13\mathrm{.}4.$

Note: Do not round intermediate calculations. If a part of the question specifies whether to use Table $13\mathrm{.}4,$ or to use Excel, then credit for a correct answer will depend on using the specified method.

a$.$ How many parkas should Teddy Bower buy from TeddySports to maximize expected profit? Use Table $13\mathrm{.}4$ and the round$-$up rule. Note: Enter your answer as a whole number.

b$.$ If Teddy Bower orders $2,750$ parkas, what is expected leftover inventory? Use Table $13\mathrm{.}4$ and the round$-$up rule. Note: Round your answer to $2$ decimal places.

Expected leftover inventory

c$.$ If Teddy Bower orders $2,750$ parkas, what is expected sales? Use your result from Part d$.$

Note: Round your answer to $2$ decimal places.

Expected sales

d$.$ If Teddy Bower orders $2,750$ parkas, what is expected profit? Use your results from Part d and Part e$.$

Note: Round your answer to $2$ decimal places.