Determine minimum cost

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Consider the following problem faced by a Dietician: A diet needs to be created that contains not less than 2075 calories, not more than 76 grams of protein, not less than 19 grams of carbohydrates and not less than 12 grams of fat. Also, the diet should haveminimal cost. In addition the diet should include at least 1 Units of fish and at least 1.4 cup of milk. The diet will consist of the six different foods: Bread, Milk, Cheese, Fish, Potato and Yogurt. The following table lists the cost per unit of each item and the number of grams of protein, fat, and carbohydrates per unit as well as the calories that will be supplied by each food unit.

  Bread Milk Cheese Potato Fish Yogurt
Cost, (cents) 10 25 20 15 79 18
Protein, g 5 15 13 1.3 14 11.2
Fat, g 2 9 14 0.1 7 2
Carbohydrates, g 19 12.7 0.4 34.6 0 22
Calories, Cal 120 178 156 98 248 350

Find a diet that meets the requirements above while keeping the cost at an absolute minimum. Make sure that your Food Units are all Integers.

Minimum Cost =  (Cents)

Hint: Min Cost value is between 317 and 325

 

Number of Units of Each Item %u2026 Make sure your answers are INTEGERS

 

Bread = 

 

Milk= 

 

Cheese= 

 

Potato= 

 

Fish= 

 

Yogurt=

Reference no: EM13109947

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