A School Is Trying to Determine a Nutritional Diet to Feed

question 38

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 kidney beans in the diet?

• A)$3.95
• B)$4.22
• C)$5.65
• D)$2.70

Calculate probabilities and statistical measures (e.g., mean, standard deviation) for the uniform distribution.

Apply the normal approximation to the binomial distribution.

Interpret the significance of the mean and standard deviation in context to real-life distributions.

Utilize probability density functions to calculate probabilities.

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Definitions:

Opportunity Cost

The expense associated with not choosing the second-best option during the decision-making process.

Apples

A common fruit that is grown worldwide and comes in various varieties, often consumed fresh, cooked, or juiced.

Pears

A type of fruit known for its sweet taste, bell shape, and variety of colors and sizes.

Opportunity Cost

The cost of forgoing the next best alternative when making a decision to pursue a particular action or resource allocation.