Quantitative Methods

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The dietician for the local hospital is trying to control the calorie intake of the heart surgery patients. Tonight’s dinner menu could consist of the following food items: chicken, lasagna, pudding, salad, mashed potatoes and jello. The calories per serving for each of these items are as follows: chicken (600), lasagna (700), pudding (300), salad (200), mashed potatoes with gravy (400) and jello (200). If the maximum calorie intake has to be limited to 1200 calories. What is the dinner menu that would result in the highest calorie in take without going over the total calorie limit of 1200? Please show work. Ans. E

a. chicken, mashed potatoes and gravy, jello and salad
b. lasagna, mashed potatoes and gravy, and jello
c. chicken, mashed potatoes and gravy, and pudding
d. lasagna, mashed potatoes and gravy, and salad
e. chicken, mashed potatoes and gravy, and salad
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Hello

We can do it manually also by iterations as there are only 6 decision variables. I am providing LP (intege) way
decision variables are
xc be the decision to choose chicken or not (binary variable, 1 for choosing and zero …