Question 3 options:

Consider the following problem faced by a Dietician:

A diet needs to be created that contains not less than 1560 calories, not more than 70 grams of protein, not less than 18 grams of carbohydrates and not less than 13 grams of fat. Also, the diet should have minimal cost. In addition the diet should include at least 1.7 Units of fish and at least 1.1cup 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	34	32	14	61	27
Protein, g	4	13	13	2.3	9	10.2
Fat, g	2	7	10	0.1	8	2
Carbohydrates, g	17	21.7	0.4	25.6	0	32
Calories, Cal	93	182	203	115	187	290

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 278 and 288 Number of Units of Each Item Make sure your answers are INTEGERS Bread =

Milk=

Cheese=

Potato=

Fish=

Yogurt=