Solve the below problem:
Q: Thin and Trim Diet Centers is developing a new dietary drink. Three ingredients are used and the objective is to minimize cost. Cost of ingredient 1 is S3.50 per unit Cost of ingredient 2 is S6.60 per unit Cost of ingredient 3 is $6.50 per unit The model will tell Thin and Trim how much of each ingredient to use to meet minimum requirements for Vitamin A and iron, as well as the maximum limit on sodium The decision variables for the problem are: x1 Units of Ingredient 1 x2 Units of Ingredient 2 x3 Units of ingredient 3 The appropriate linear programming model as well as the LINDO output are shown on the next page.
1. How many units of each ingredient should be used?
2. How much will the mixture cost?
3. Will an excess amount of either Vitamin A or iron be supplied? Will the maxi um sodium level be reached?
5. What would happen if the cost of ingredient 1 dropped to $3.00 (i.e., would the same solution be optimal?
6. What would happen to the value of the objective function if the Vitamin A requirement were 281?
7. What would happen to the value of the objective function if the sodium restriction were 1051?
8. What would happen to the solution if 250 units of iron were required?