Question 3 (18 points) Per Pound Ingredient 1 Ingredient 2 phosphate 6 ounces 6 ounces nitrogen 2 ounces 10 ounces potassium 1 ounce cost $6 $3 Phosphate, nitrogen, and potassium are important chemicals in fertilizers Centivo makes its signature fertilizer using two ingredients. The amount of phosphate, nitrogen, and potassium present in one pound of each of the two ingredients is given in the table displayed above. The cost per pound for each ingredient is also given. Management wants to decide how many pounds of each ingredient to put into a batch of fertilizer to meet the minimum requirements of 32 ounces of phosphate, 18 ounces of nitrogen, and 3 ounces of potassium. Further, management wants to minimize the cost. Let X = pounds of ingredient 1 and Y = pounds of ingredient 2. Formulate a linear programming model for this problem. Let X = pounds of ingredient 1 and Y = pounds of ingredient 2. Formulate a linear programming model for this problem. Minimize Cost = A X+ C A Y Subject to: X + A (phosphate requirement) A X + Y2 A (nitrogen requirement) AX + (potassium requirement) X Y Z (non-negativity conditions)