Reference no: EM132759006

A farmer plans to mix two types of food to make a mix of low cost feed for the animals in his farm. A Bag of food A contains 40 units of proteins, and 10 units of vitamins. A Bag of food B contains 30 units of proteins, and 30 units of vitamins. The minimum daily requirements that should be consumed by the animals each day is 150 units of proteins, and 60 units of vitamins. A bag of Food A costs 100 pesos, and a Bag of Food B costs 112 pesos. Find the minimum cost schedule.

1. How many bags of Food A should be bought?

2. How many bags of Food B should be bought?

3. Based on the optimal solution, what is the value of the objective function?

4. Based on the optimal solution, how much is the cost of buying bags of Food A?

5. Based on the optimal solution, how much is the cost of buying bags of Food B?

6. Using the optimal solution, how many is the surplus units of proteins?

7. Using the optimal solution, how many is the surplus of vitamins?

8-10. For three points, write the mathematical model of the objective function, and constraints. (Don't include s.t. or subject to, and the non-negativity variable A, B ≥ 0)

Example. Min 2A + 3B

1A + 1B ≥ 350

2A + 1B ≤ 600