A School Is Trying to Determine a Nutritional Diet to Feed

question 16

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 cost of the nutritional diet?

• A)$4.20
• B)$3.55
• C)$7.30
• D)$8.25

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Definitions:

Partial Pressure

The pressure that a gas in a mixture of gases would exert if it alone occupied the entire volume.

Nitrogen Gas

A diatomic gas that is colorless, odorless, and makes up about 78% of the Earth's atmosphere, used by certain bacteria to produce usable forms of nitrogen for plants.

Sea Level

The average height of the sea's surface between high and low tide, used as a base reference for measuring elevation and depth on Earth.

Vocal Cords

Tissue bands in the larynx that vibrate to produce sound when air is expelled from the lungs.