A feed company is developing a feed supplement from two grains A and B. Each kilogram of A contains 0.3 grams of protein and 0.2 grams of carbohydrates; each kilogram of B contains 0.9 grams of protein and 0.1 grams of carbohydrates. There must be at least 27 grams of protein and at least 8 grams of carbohydrates.

Identify all of the constraints.
Identify all applicable corner points of the feasibility region.
If each kilogram of A costs 30 cents and each kilogram of B costs 50 cents what combination of quantities of grain A and grain B will minimize the cost of a package of the new feed supplement?

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