A poultry farmer must supplement the vitamins in the feed he buys. He is considering two supplements, each of which contains the feed required but in different amounts. He must meet or exceed the minimum vitamin requirements. Supplement I costs P5 per gram and Supplement II costs P6 per gram. The feed must contain at least 50 units of vitamin 1, 100 units of vitamin 2, 60 units of vitamin 3, and 180 units of vitamin 4. Determine the combination that has the minimum cost.

The Vitamin content per gram of the supplements

VITAMIN SUPPLEMENT 1 SUPPLEMENT 2

1 5 UNITS 25 UNITS

2 25 UNITS 16 UNITS

3 10 UNITS 25 UNITS

4 36 UNITS 20 UNITS

Questions:

What is the value of X1 and X2?

What is the objective Function?

What is the value of Vitamin 1, 2, 3, 4?

What is the optimal cost?

What is the optimal objective?