A dairy farmer is considering optimizing the production of his dairy cows while minimizing the cost of the animal feeds. From past records, his animals consume 11 units of carb and 5 units of proteins to satisfy the weekly requirements. Hay contains 2 units of carbs and 2 units of proteins per unit. fodder contains 3 units of carbs and 1 unit of protein per unit. Hay costs $3.1 per unit while fodder costs $4.3 per unit. how many units are needed to satisfy the minimum animal requirement at the minimum cost? what is the farmer's minimum cost?

Functions
Minimize Cost	3.1H+4.3F

Constrains

2h+3f>=11

2h+f>=5

h>=0

f>=0