meal to provide at least 550 units of fat, at least 260 units of carbohydrates, and at least 430 units of protein. If 1 kg of A costs $26.70, 1 kg of B costs $30, and 1 kg of C costs $23.80. Formulate a Linear programming model to determine how many grams of each foodstuff should be served to minimize the cost of the meal and satisfy the dietician's requirements. (Define the decision

Practical Management Science
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Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Q2. A dietician is planning a food menu consisting of three major food stuffs A, B, and C. Each
gram of A contains 4 units of protein, 3 units of carbohydrates, and 5 units of fat. Each gram of B
contains 2, 4, and 3 units of protein, carbohydrates, and fat, respectively; and each gram of C
contains 4, 2, and 5 units of protein, carbohydrates, and fat, respectively. The dietician wants the
meal to provide at least 550 units of fat, at least 260 units of carbohydrates, and at least 430 units
of protein. If 1 kg of A costs $26.70, 1 kg of B costs $30, and 1 kg of C costs $23.80. Formulate
a Linear programming model to determine how many grams of each foodstuff should be served
to minimize the cost of the meal and satisfy the dietician's requirements. (Define the decision
variables. Write the objective function, and the constraints. Indicate sign restrictions. Do not try
to solve the problem.)
Transcribed Image Text:Q2. A dietician is planning a food menu consisting of three major food stuffs A, B, and C. Each gram of A contains 4 units of protein, 3 units of carbohydrates, and 5 units of fat. Each gram of B contains 2, 4, and 3 units of protein, carbohydrates, and fat, respectively; and each gram of C contains 4, 2, and 5 units of protein, carbohydrates, and fat, respectively. The dietician wants the meal to provide at least 550 units of fat, at least 260 units of carbohydrates, and at least 430 units of protein. If 1 kg of A costs $26.70, 1 kg of B costs $30, and 1 kg of C costs $23.80. Formulate a Linear programming model to determine how many grams of each foodstuff should be served to minimize the cost of the meal and satisfy the dietician's requirements. (Define the decision variables. Write the objective function, and the constraints. Indicate sign restrictions. Do not try to solve the problem.)
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