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A Dietician Wants to Formulate a Low Cost, High Calorie

Question 57

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A dietician wants to formulate a low cost, high calorie food product for a customer. The following information is available about the 2 ingredients which can be combined to make the food. The customer wants 1000 pounds of the food product and it must contain at least 250 pounds of Food 1 and 300 pounds of Food 2.
 Faod 1 Faod 2 Requirements  Cost ($/ pound 1.001.25 Minimize % Fat 1525 Less than 30%% Protein 3540 At least 37%% Carbahydrate 5035 At least 40% Calorieshpound 30002000 Maximize  Mrrimum pounds of food 250300\begin{array} { l c c l } & \text { Faod } 1 & \text { Faod } 2 & \text { Requirements } \\\hline \text { Cost } ( \$ / \text { pound } & 1.00 & 1.25 & \text { Minimize } \\\% \text { Fat } & 15 & 25 & \text { Less than } 30 \% \\\% \text { Protein } & 35 & 40 & \text { At least } 37 \% \\\% \text { Carbahydrate } & 50 & 35 & \text { At least } 40 \% \\\text { Calorieshpound } & 3000 & 2000 & \text { Maximize } \\\text { Mrrimum pounds of food } & 250 & 300 &\end{array} Formulate the MOLP for this problem.

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