A School Is Trying to Determine a Nutritional Diet to Feed

question 98

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.Which of the following is the constraint on the units of calories? $$\begin{array} { | l | l | l | l | } \hline \text { Nutrient } & \begin{array} { l } \text { Kidney } \\\text { Besns }\end{array} & \text { Tofu } & \begin{array} { l } \text { Minimum Daily } \\\text { Requirement }\end{array} \\\hline \text { Cost per pound } & \$ 0.90 & \$ 1.50 & \\\hline \text { Calcium in units per pound } & 15 & 6 & 30 \\\hline \text { Protein in units per pound } & 10 & 10 & 40 \\\hline \text { Calories in units per pound } & 3 & 9 & 18 \\\hline\end{array}$$

• A)15K + 5T ≥ 30
• B)10K + 10T ≥ 40
• C)3K + 9T ≥ 18
• D)K,T ≥ 0

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Definitions:

Cash Equivalents

Temporary investments with high liquidity that can be quickly converted into precise cash amounts and carry minimal risk of fluctuating in value.

Marketable

Refers to assets or securities that are easily bought or sold in the market because of their high demand, liquidity, or both.

Bid Price

The highest price a buyer is willing to pay for a security or asset.

Treasury Bill

A short-term government security issued at a discount from the face value and matures at par, providing a return to the holder at maturity.