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.Determine the objective function. $$\begin{array} { | l | l | l | l | }
\hline \text { Nutrient } & \begin{array} { l }
\text { Kidney } \
\text { Besns }
\end{array} & \text { Tofu } & \begin{array} { l }
\text { Minimum Daily } \
\text { Requirement }
\end{array} \
\hline \text { Cost per pound } & \$ 0.90 & \$ 1.50 & \
\hline \begin{array} { l }
\text { Calcium in units per } \
\text { pound }
\end{array} & 15 & 6 & 30 \
\hline \begin{array} { l }
\text { Protein in units per } \
\text { pound }
\end{array} & 10 & 10 & 40 \
\hline\begin{array} { l }
\text { Calories in units per } \
\text { pound }
\end{array} & \mathbf { 3 } & 9 & 18 \
\hline
\end{array}$$
A)Minimize cost = $0.90K + $1.50T
B)Minimize cost = 1K + 1T
C)Maximize cost = $0.90K + $1.50T
D)Maximize cost = $1.00K + $1.50T

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.Determine the objective function. $$\begin{array} { | l | l | l | l | } 
\hline \text { Nutrient } & \begin{array} { l } 
\text { Kidney } \
\text { Besns }
\end{array} & \text { Tofu } & \begin{array} { l } 
\text { Minimum Daily } \
\text { Requirement }
\end{array} \
\hline \text { Cost per pound } & \$ 0.90 & \$ 1.50 & \
\hline \begin{array} { l } 
\text { Calcium in units per } \
\text { pound }
\end{array} & 15 & 6 & 30 \
\hline \begin{array} { l } 
\text { Protein in units per } \
\text { pound } 
\end{array} & 10 & 10 & 40 \
\hline\begin{array} { l } 
\text { Calories in units per } \
\text { pound }
  \end{array} & \mathbf { 3 } & 9 & 18 \
\hline
\end{array}$$
A)Minimize cost = $0.90K + $1.50T
B)Minimize cost = 1K + 1T
C)Maximize cost = $0.90K + $1.50T
D)Maximize cost = $1.00K + $1.50T

Quizplus · Accepted Answer

The objective function is to minimize the cost, which is given by the sum of the cost of Kidney Beans and Tofu, i.e., 0.9K + 1.5T. The problem statement mentions that the objective is to minimize cost, and hence the correct answer is A.

A School Is Trying to Determine a Nutritional Diet to Feed