Question: Operations Research Develop the corresponding specific model to find the optimal solution of the presented case. The lady in charge of a college cafeteria wants
Operations Research Develop the corresponding specific model to find the optimal solution of the presented case. The lady in charge of a college cafeteria wants to decide how to put together the menu. What she seeks is to keep costs low in the production of her menus to obtain greater profits, but because the college director watches her closely, she is required to meet certain nutritional requirements in the menus she offers. You have already decided that the menu should consist of 3 first course portions (salad, soup), no more than two second course portions (stew, meat) , no more than one dessert portion (jelly, tortilla) and exactly one drink portion (water, soft drink). The nutritional content of each food and its costs are presented in the following table:
| Portion | Vitamines (grams) | Fats (KCal) | Proteins (grams) | Price ($/portion) | Type of portion |
| Salad | 20 | 150 | 85 | 5 | First course |
| Soup | 23 | 120 | 95 | 7 | First course |
| Stew | 25 | 150 | 160 | 8 | Second course |
| Meat | 40 | 130 | 120 | 9 | Second course |
| Jello | 50 | 0 | 15 | 2 | Dessert |
| Tortilla | 55 | 100 | 30 | 1 | Dessert |
| Water | 60 | 0 | 7 | 4 | Drink |
| Soft Drink | 62 | 0 | 10 | 10 | Drink |
The nutritional requirements are as follows:
-The menu must contain: at least 250 grams of vitamins -It should contain no more than 850 KCal of fat. -It should contain no more than 325 proteins. -You must consume exactly three times as many vitamins as the amount of protein. -You must spend less than 25 dollars on each menu
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