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A School Is Trying to Determine a Nutritional Diet to Feed

question 16

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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.  Nutrient  Kidney  Beans  Tofu  Minimum Daily  Requirement  Cost per pound $0.90$1.50 Calcium in units per  pound 15630 Protein in units per pound 101040 Calories in units per  pound 3918\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?


Definitions:

Aboveground Shoots

Parts of a plant, including stems and leaves, that grow above the earth's surface and are involved in photosynthesis and reproduction.

Suckers

Structures that provide adhesion, found in some animals for attachment to surfaces, or in plants as a form of asexual reproduction or absorption.

Environmental Factors

Physical, chemical, and biological factors external to a person, and all the related factors impacting behaviours.

Adaptation(s)

The process by which a species becomes better suited to its environment through genetic changes over generations.

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