Find the cheapest combination of foods


Discuss the below:

Solve a diet plan which is designed for one week (from a chosen restaurant). the person must meet the dietary requirements listed and spend as little money as possible. The goal is to find the cheapest combination of foods that will satisfy nutritional requirements of a person. It involves an objective function that minimizes cost and constraints which require the nutritional needs to be satisfied. See attachment for the menu items from the restaurant, as well as the nutritional data for each menu item and the Recommended daily Value from FDA, as well as price of each menu item. Solution should determine total quantities of each food for the entire week.

Nutrition Facts Calories Total fat  (g) Saturated fat(g)  Cholesterol (mg) Sodium (mg) Fiber (g) Protein   (g) Vitamin C  (mg) Calcium (mg) Price
Menu items
                   
Double Cheeseburger 460 23 11 80 1140 1 25 2 30 $1.00
Quarter Pounder with cheese 510 25 12 95 1150 3 29 2 30 $2.39
Chicken Selects Breast Strips (3 piece) 630 33 6 90 1550 0 39 6 4 $2.89
Big Mac 560 30 10 80 1010 3 25 2 25 $2.39
Big N' Tasty 470 23 8 80 790 3 24 8 15 $1.99
Filet-O-Fish 400 18 4 40 640 1 14 0 15 $2.29
McChicken 370 16 3.5 50 810 1 15 2 15 $1.00
Grilled Chicken Ranch BLT Sandwich 490 13 4 90 1610 3 39 10 10 $3.69
Chicken McNuggets (10 piece) 420 24 5 60 1120 0 25 2 2 $3.19
Bacon Ranch Salad with Crispy Chicken 340 16 5 70 1140 3 27 50 15 $4.29
Caesar Salad with Grilled Chicken 220 6 3 75 880 3 30 50 20 $4.29
California Cobb Salad with Grilled Chicken 280 11 5 150 1110 4 35 50 15 $4.29
Fruit and Walnut Salad 310 13 2 5 85 6 5 640 15 $2.99
Side Salad 20 0 0 0 10 1 1 25 2 $1.00
Fruit 'n Yogurt Parfait 160 2 1 5 85 1 4 15 15 $1.00
Hot Fudge Sundae 330 9 6 25 170 1 8 0 25 $1.00
McFlurry with OREO Cookies 560 16 9 5 250 0 14 0 45 $1.00
Stawberry Sundae 280 6 3.5 25 85 0 6 4 20 $1.00
Baked Apple Pie 250 11 3 0 150 2 2 40 2 $0.50



Nutrient Unit of Measure  Daily Values


Total Fat grams (g) 65


Saturated Fat grams (g) 20


Cholesterol milligrams (mg) 300


Sodium milligrams (mg) 2400


Potassium milligrams (mg) 3500


Carbohydrates grams (g) 300


Fiber grams (g) 25


Protein grams (g) 50


Vitamin A International Unit 5000


Vitamin C milligrams (mg) 60


Calcium milligrams (mg) 1000


Iron milligrams (mg) 18


Vitamin D International Unit 400


Vitamin E International Unit 30


Vitamin K micrograms 80
Based on 2000 Calorie Intake

Recommended Daily Values

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Science: Find the cheapest combination of foods
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