Q2. A dietician is planning a food menu consisting of three major food stuffs A, B, and C. Eachgram of A contains 4 units of protein, 3 units of carbohydrates, and 5 units of fat. Each gram of Bcontains 2, 4, and 3 units of protein, carbohydrates, and fat, respectively; and each gram of Ccontains 4, 2, and 5 units of protein, carbohydrates, and fat, respectively. The dietician wants themeal to provide at least 550 units of fat, at least 260 units of carbohydrates, and at least 430 unitsof protein. If 1 kg of A costs $26.70, 1 kg of B costs $30, and 1 kg of C costs $23.80. Formulatea Linear programming model to determine how many grams of each foodstuff should be servedto minimize the cost of the meal and satisfy the dietician's requirements. (Define the decisionvariables. Write the objective function, and the constraints. Indicate sign restrictions. Do not tryto solve the problem.)

Here, this question is related to formulating the LP, here, as per the Q, the solution is not…

Answered: meal to provide at least 550 units of…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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1. Write a linear program for the problem. 2. What is the optimal production mix among different coffee varieties and the profit associated with it? 3. What should be the per bag profit of Tarrazu which will make it beneficial to produce this variety? 4. One Cup is considering increasing the weekly bags to 150. If it costs One Cup $3.00 per bag to procure beans of any variety. Conduct sensitivity analysis and determine if One Cup should consider increasing the per week production. 5. Identify the range over which per bag profit of Sumatra and Kona may vary and still retain the current production plan as optimal for One Cup. 6. Once roasted the coffee beans must be preserved properly. To ensure that, One Cup Coffee is considering investing in a vacuum packaging machine for 24 hours/ week. It takes 10, 15 and 10 minutes to pack a bag of Sumatra, Kona and Tarazzu respectively. Identify if the current production plan will suit the installation of the new packaging scheme.

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