Finite Mathematics 1533 Chapter 3.1 - 3.3 Quiz 2 Use the graphical method of linear programming to solve 1) Maximize z = 4x + 2y subject to x - y < 10 5x + 3y < 75 x + y < 20 x>0 y>0 2) Minimize w = 3x + 4y subject to x+y>3 x + 2y > 4 x>0 y>0 3) A furniture manufacturer makes two types of furniture - chairs and sofas. Manufacture of a chair requires 6 hours of carpentry, 1 hour of finishing, and 2 hours of upholstery. Manufacture of a sofa requires 3 hours of carpentry, 1 hour of finishing, and 6 hours of upholstery. The factory has available each day 96 hours for carpentry, 18 hours for finishing, and 72 hours for upholstery. The profit per chair is $80 and the profit per sofa is $70. Determine the number of chairs and sofas that should be produced in order to maximize the profit