Reference no: EM133048259
Consider the following problem faced by a Dietician:
A diet needs to be created that contains not less than 1846 calories, not more than 78 grams of protein, not less than 10 grams of carbohydrates and not less than 14 grams of fat. Also, the diet should have minimal cost. In addition the diet should include at least 1.9 Units of fish and at least 1.2 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)
|
13
|
22
|
18
|
15
|
63
|
35
|
|
Protein, g
|
5
|
13
|
8
|
1.3
|
9
|
9.2
|
|
Fat, g
|
2
|
5
|
10
|
0.1
|
12
|
2
|
|
Carbohydrates, g
|
23
|
18.7
|
0.4
|
30.6
|
0
|
18
|
|
Calories, Cal
|
122
|
167
|
180
|
99
|
138
|
309
|
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 319 and 335
Number of Units of Each Item ... Make sure your answers are INTEGERS
Bread =
Milk=
Cheese=
Potato=
Fish=