How to solve

DECISION ANALYSIS $(25$ pts$)$

A veterinarian purchases rabies immunization vaccine on Monday of each week. Because of the characteristics of this vaccine, it must be used by Friday or disposed of$.$ The vaccine costs $$9$ per dose, and the vet charges $$16$ per dose. In the past, the vet has administered rabies vaccine in the following quantities:

$\backslash$table$[[\backslash$table$[[$Quantities Used$],[$per Week$]],\backslash$table$[[$Number of weeks this$],[$occurred$]]],[25,15],[40,20],[50,10],[75,5]]$

Using EMV, determine how many doses of rabies vaccine the veterinarian should order each week. EVPI?

CASE MODEL $(15$ pts $)$

Annie McCoy, a student at Tech, plans to open a hot dog stand inside Tech's football stadium during home games. There are seven home games scheduled for the upcoming season. She must pay the Tech athletic department a vendor's fee of $$3,000$ for the season. Her stand and other equipment will cost her $$4,500$ for the season. She estimates that each hot dog she sells will cost her $$0\mathrm{.}35.$ She has talked to friends at other universities who sell hot dogs at games. Based on their information and the athletic department's forecast that each game will sell out, she anticipates that she will sell approximately $2,000$ hot dogs during each game.

a$)$ What price should she charge for a hot dog in order to break even?

b$)$ What price would you suggest that Annie charge for a hot dog to provide her with a reasonable profit of $$2,000$ while remaining competitive with other food vendors?

c$)$ To maintain original selling price in $($a$),$ how much should the vendor's fee be reduced to make a profit of $$2,000?$