A School Is Trying to Determine a Nutritional Diet to Feed

question 6

Multiple Choice

A school is trying to determine a nutritional diet to feed its students.The 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.Let K and T be the number pounds of kidney beans and tofu to be purchased.Determine the objective function. $$\begin{array} { | l | l | l | l | } \hline \text { Nutrient } & \begin{array} { l } \text { Kidney } \\\text { Besns }\end{array} & \text { Tofu } & \begin{array} { l } \text { Minimum Daily } \\\text { Requirement }\end{array} \\\hline \text { Cost per pound } & \$ 0.90 & \$ 1.50 & \\\hline \begin{array} { l } \text { Calcium in units per } \\\text { pound }\end{array} & 15 & 6 & 30 \\\hline \begin{array} { l } \text { Protein in units per } \\\text { pound } \end{array} & 10 & 10 & 40 \\\hline\begin{array} { l } \text { Calories in units per } \\\text { pound } \end{array} & \mathbf { 3 } & 9 & 18 \\\hline\end{array}$$

• A)Minimize cost = $0.90K + $1.50T
• B)Minimize cost = 1K + 1T
• C)Maximize cost = $0.90K + $1.50T
• D)Maximize cost = $1.00K + $1.50T

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Definitions:

EBIT

A profitability metric, Earnings Before Interest and Taxes, includes all company expenses with the exception of interest and tax charges.

Tax Rate

A proportion or rate at which an individual or business is taxed by the government, often expressed as a percentage.

Dividends Paid

The total amount of money distributed to shareholders from a corporation's earnings.