5) A firm manufactures chicken feed by mixing three different ingredients. Each ingredient contains four key nutrients: protein, fat, vitamin A and vitamin B. The amount of each nutrition contained in 1 kilogram of the three basic ingredients is summarized in the table below: 6 Ingredient Protein (grams) Fat (grams) Vitamin A (units) Vitamin B (units) 1 25 11 235 12 2 45 10 160 3 32 7 190 10 The costs per kilogram of Ingredients 1, 2, and 3 are $0.55, $0.42, and $0.38, respectively. Each kilogram of the feed must contain at least 35 grams of protein, a minimum of 8 grams (and a maximum of 10 grams) of fat, at least 200 units of vitamin A and at least 10 units of vitamin B. Formulate a linear programming model for finding the feed mix that has the minimum cost per kilogram. Define the decision variables, state the objective function, and specify all the constraints