- Solve These Problems Using Graphical Linear Programming And Answer The Questions That Follow Use Simultaneous Equations 1 (53.47 KiB) Viewed 51 times
Solve these problems using graphical linear programming and answer the questions that follow. Use simultaneous equations to determine the optimal values of the decision variables. a. Maximize Z = 4x1 + 3x2 Subject to Material 6x1 + 4x2 ≤ 48 lb Labor 4x1 + 8x2 < 80 hour X1, X2 ≥ 0 1. What are the optimal values of the decision variables and Z? Answer is complete and correct. Decision Variables X1 X2 Z Optimal values 2 9 35
Z = 2x1 + 10x2 b. Maximize Subject to Durability 10x1 + 4x2 ≥ 40 week Strength 6x2 = 24 psi 1x1 + 1x1 + 2x2 ≤ 14 Time hour X1, X2 ≥ 0 1. What are the optimal values of the decision variables and Z? (Round your answers to 2 decimal places.) X Answer is complete but not entirely correct. Decision Variables X1 X2 Z Optimal values 8.00 X 2.00 X 0.00 X
Z = 6A + 3B (revenue) c. Maximize Subject to Material 20A + 6B ≤ 600 lb Machinery Labor 25A+20B ≤ 1,000 hour 20A +30B ≤ 1,200 hour A, B2 0 1. What are the optimal values of the decision variables and Z? X Answer is complete but not entirely correct. Decision Variables A B Z Optimal values 2 x 9 x 120 x