Finite Math Help

4. A company manufactures chef's knives and pocket knives. Each chef's knife requires 3 labor-hours, 7 units of steel, and 4 units of wood. Each pocket knife requires 5 labor-hours, 5 units of steel, and 3 units of wood. The profit on each chef's knife is $4, and the profit on each pocket knife is $5. Each day the company has available 87 labor-hours, 139 units of steel, and 115 units of wood. Give a matrix formulation of the manufacturing company problem of maximization profit. Use x to represent the number of chef's knives and y to represent the number of pocket knives. X Maximize subject to the constraints y 87 X X (1) 139 and (2) 115 (Type an integer or decimal for each matrix element.) (1) 0 2 (2) 0 2 O O