A School Is Trying to Determine a Nutritional Diet to Feed

question 4

Multiple Choice

A school is trying to determine a nutritional diet to feed its students.The school would like to offer some combination of milk and beans.The school's objective is to minimize cost,subject to meeting the minimum nutritional requirements of protein,calcium,and calories.The cost and nutritional content of each food,along with the minimum nutritional requirements are shown here. $$\begin{array} { | l | l | l | l | } \hline \text { Nutrient } & \begin{array} { l } \text { Kidney } \\\text { Beans }\end{array} & \text { Tofu } & \begin{array} { l } \text { Minimum Daily } \\\text { Requirement }\end{array} \\\hline \text { Cost per pound } & \$ 0.90 & \$ 1.50 & \\\hline \begin{array} { l } \text { Calcium in units per } \\\text { pound }\end{array} & 15 & 6 & 30 \\\hline \text { Protein in units per pound } & 10 & 10 & 40 \\\hline \begin{array} { l } \text { Calories in units per } \\\text { pound }\end{array} & 3 & 9 & 18 \\\hline\end{array}$$ At the optimum solution,what is the number of pounds of kidney beans included in the diet?

• A)1
• B)2
• C)3
• D)4

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Definitions:

Semiannual Payments

Payments made twice a year, often used in the context of bond interest payments or certain types of loans.

Compounded Semiannually

Interest calculation method where interest is added to the principal sum of a deposit or loan twice a year, resulting in interest earning interest.

Compounded Annually

A method of calculating interest where the interest earned each year is added to the principal, leading to an increase in the amount of interest earned in subsequent years.

Present Value

The current worth of a future sum of money or stream of cash flows given a specified rate of return, used in discounting and investment appraisal.