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

Question

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

Quizplus · Accepted Answer

The constraint on the units of calories is that the total number of calories in the food must be greater than or equal to the minimum daily requirement of 18 calories per pound. Thus, the constraint is 3K + 9T ≥ 18.

A School Is Trying to Determine a Nutritional Diet to Feed