Anya is a part- time business student who works full time and is constantly on the run. She recognized the challenge of eating a balanced diet and wants to minimize cost while meeting some basic nutritional requirements. Based on some research, she found that a very active woman should consume 2,250 calories per day. According to one author’s guidelines, the following daily nutritional requirements are recommended in the table at the right.

She chose a sample of meals in the table above that could be obtained from healthier quick service restaurants around town as well as some items that could be purchased at the grocery store. Anya does not want to eat the same entrée (first six foods) more than once each day but does not mind eating breakfast or side items (last five foods) twice a day and protein powder based drinks up to four times a day, for convenience. Develop an integer linear optimization model to find the number of servings of each food choice in a daily diet to minimize cost and meet the nutritional targets.

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Source Fat Carbohydrates Fiber Protein Recommended Intake (Grams) Maximum 75 Maximum 225 Maximum 30 At least 168.75 Cost/Serving Calories F Crbs Fiber Protein Food Turkey sandwich Baked-potato soup Whole-grain chicken sandwich Bacon turkey sandwich Southwestern refrigerated chicken wrap Sesame chicken refrigerated chicken wrap Yogurt Raisin bran with skim milk Cereal bar 1 cup broccoli 1 cup carrots 1 scoop protein powder 73 28 530 260 750 770 14 16 $4.69 $3.39 $6.39 $5.99 $3.69 $3.69 S0.75 S0.40 $0.43 S0.50 $0.50 $1.29 23 10 28 84 47 15 21 15 250 110 270 110 25 10 19 5 8 12 2 0.3 0.25 13 4 2.6 3.8 2.6 1.3 17 4.6 120