Using Simplex method solve for the answer.

An animal feed producer mixes two types of grain:X and Y. Each unit of grain X contains 20 grams of fat, 10 grams of protein and 800 calories. Each unit of grain Y contains 30 grams of fat, 30 grams of protein, and 600 calories. Suppose that the producer wants each unitof the final product to yield at least 180 grams of fat,at least 120 grams of protein and at least 4,800 calories. If each unitof X costs 180 and each unit of Y costs 160, how many units of each type of grain should the producer use to minimize cost?