Answer to Question #328962 in Math for mame

Question

Assume that ELFORA Meat processing and packing unit produces mixtures in 1000-pound batches. The mixture contains two ingredients: chicken and beef. The cost per pound of each of these ingredients is as follows:

Ingredient

 Cost per pound

Chicken

3 birr

Beef

5 birr

 

Assume further that each batch has the following recipe requirements;

A. At least 500 pounds of chicken

B. At least 200 pounds of beef

The ratio of chicken to beef must be at least 2 to 1. The company wants to know the optimal mixture of ingredients that will minimize cost.

Required;

1. Formulate the linear programming model for this problem

2. Solve the problem by the graphical and simplex approach

3. What will be the optimal solution values for the decision variables and the objective function?