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

Teddy Bower is an outdoor clothing and accessories chain that purchases a line of parkas at $\backslash (\backslash$$ $10\backslash )$ each from its Asian supplier, TeddySports. Unfortunately, at the time of the order placement, demand is still uncertain: Teddy Bower forecasts that its demand is normally distributed with a mean of $2100$ and a standard deviation of $1200.$ Teddy Bower sells these parkas at $\backslash (\backslash$$ $22\backslash )$ each. Unsold parkas have little salvage value; Teddy Bower simply gives them away to a charity $($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$.$ What is the probability this parka turns out to be a "dog", defined as a product that sells less than half of the forecast? Use Excel. Note: Round your answer to $4$ decimal places.

Answer is complete and correct.

Probabilty

b$.$ 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.

Answer is complete but not entirely correct.

Order quantity

c$.$ If Teddy Bower orders $3,000$ parkas, what is the in$-$stock probability? Use Excel.

Note: Round your answer to $4$ decimal places.

Answer is complete and correct.

$\backslash$begin$\{$tabular$\}\{|$l$|$l$|\}$

$\backslash$hline In$-$stock probability & $\backslash (0\mathrm{.}7734\backslash$odot $\backslash )\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

d$.$ If Teddy Bower orders $3,000$ parkas, what is expected leftover inventory? Use Table $13\mathrm{.}4$ and the round$-$up rule.

Note: Round your answer to $\backslash (\backslash$mathbf$\{2\}\backslash )$ decimal places.

Answer is complete but not entirely correct.

Expected leftover inventory

e$.$ If Teddy Bower orders $3,000$ parkas, what is expected sales? Use your result from Part d$.$

Note: Round your answer to $\backslash (\backslash$mathbf$\{2\}\backslash )$ decimal places.

Answer is complete but not entirely correct.

Expected sales

f$.$ If Teddy Bower orders $3,000$ parkas, what is expected profit? Use your results from Part d and Part e$.$

Note: Round your answer to $\backslash (\backslash$mathbf$\{2\}\backslash )$ decimal places.

Answer is complete but not entirely correct.

Expected profit

g$.$ If Teddy Bower wishes to ensure a $98\mathrm{.}5$ percent in$-$stock probability, how many parkas should Teddy Bower order? Use Table $13\mathrm{.}4.$

Answer is complete but not entirely correct.