Reference no: EM13230941

A registered nurse is trying to develop a diet plan for patients. The required nutritional elements are the total daily requirements of each nutritional element as indicated in Table 2:

Required nutritional element total and daily requirements

Calories	Not more than 2,700 calories
Carbohydrates	Not more than 300 grams
Protein	Not less than 250 grams
Vitamins	Not less than 60 units

The nurse has four basic types to use when planning the menus. The units of nutritional element per unit of food type are shown in Table 3 below. Note that the cost associated with a unit of ingredient also appears at the bottom of Table 3.

Required nutritional element and units of nutritional elements per unit of food type

Element	Milk	Chicken	Bread	Vegetables
Calories	160	210	120	150
Carbohydrates	110	130	110	120
Protein	90	190	90	130
Vitamins	50	50	75	70
Cost per unit	£0.42	£0.68	£0.32	£0.17

Moreover, due to dietary restrictions, the following aspects should also be considered when developing the diet plan:

1. The chicken food type should contribute at most 25% of the total caloric intake that will result from the diet plan.
2. The vegetable food type should provide at least 30% of the minimum daily requirements for vitamins.

Complete the following:

Provide a linear programming formulation for the above case. (You do not need to solve the problem.