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. Each kilogram of A costs 30 cents and each kilogram of B costs 50 cents a) Write out the objective cost function. b) Write out the constraints this company faces. Calculate (with details) and list all corner points and determiof the items will produce the minimum cost. For Full marks you must show detailed calculations for your answers