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Degan Routinely Drove the 400-Mile Round Trip to His Favorite

question 24

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Degan routinely drove the 400-mile round trip to his favorite grocery store to stock up on bread, which cost $1.50 per loaf. Running out would be disastrous - an unplanned trip to this store would mean a custom order that would run $7.75 per loaf. Overstocking wasn't a big issue, he could sell it to his teaching partner for $0.10 per loaf. With a demand that is normally distributed with a mean of 125 and standard deviation of 15, what is Degan's optimal purchase quantity on his next trip to the store?


Definitions:

Interest Rate

The proportion of a loan that is charged as interest to the borrower, typically expressed as an annual percentage rate.

Effective Annual Rate

A measure of interest that accounts for compounding over a year, giving a true reflection of the financial cost or return.

Annual Percentage Rate

The annual rate charged for borrowing or earned through an investment, accounting for all costs.

Interest

The cost of using borrowed money, paid by the borrower to the lender, typically expressed as a percentage of the principal sum per year.

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