A feed company is d eveloping 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 protei n and at 1 east 8 grams of carbohydrates. E ach kilogram of A costs 30 cents and each kilogram of B costs 50 cents Write out the objective cost function. Write out the constraints this company faces. List all corner points and determine which combination of items will produce the minimum cost