MiniMe imports dolls. The annual demand for dolls is

$90,000$ units, & they are sold at a constant rate throughout the year. The wholesale price

of $1$ doll is $$0\mathrm{.}10.$ The annual holding cost is $20\%$ of the purchase cost. For each

order of dolls, there is a $$400$ charge for clearing customs and shipping.

A$)$

What is the total monthly cost if you place exactly one order every month to satisfy your demand

$($setup $+$ holding $+$ purchase$)?$

B$)$

How many dolls should be ordered each time you place an order to minimize your total cost?

C$)$

How many times a year will you place an order when you order in the quantity that minimizes your

total costs? Use your answer from part b to generate an answer for part c$.$

D$)$

What is the annual total cost $($setup $+$ holding $+$ purchase$)$ if you order in the quantity that minimizes

your total costs? Use your work from part b again.

E$)$

How will your order quantity change if the custom clearing cost increases? Explain your answer.