A company sells two different products A and B. The company makes a profit of $40 and $30 per unit on the product respectively. The two products are produced by a common production process and are sold in two different markets. The production process has a capacity of 30,000 man-hours. It takes 3 hours to produce one unit of A and one hour to produce one unit of B. The market has been surveyed and found out that the maximum units sold for product A and B are 8,000 and 12,000 units. Solve the Linear Programming Problem using graphical method. 1. Using graphical method, find non-negative values of x, and x, which maximize Z = 3x, + 2.x, subject to -2x, +3x, 59 and -x, +5x, s 20. 2. 3. Solve the following LPP by graphical method. Z = 12x, - 3x, Minimize subject to -x, +5x, < 20 -2x, +x, S-2 2x, +x, 26 4. Solve the following LPP by graphical method. Z = x, - 2x, subject to -x, +x, 31 6x, +4x, 2 24 Maximize and 25x, 54 Solve the following LPP by graphical method. Z = 10x, + 25x, subject to x, +x, 2 50 5. Minimize *, 2 20 *, S 40 *, X, 20