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4. Consider the following linear programming problem: Max 5x, +5x2 s.t. x 100 女 80 2x,...

Question

4. Consider the following linear programming problem: Max 5x, +5x2 s.t. x 100 女 80 2x,...

4. Consider the following linear programming problem: Max 5x, +5x2 s.t. x 100 女 80 2x, +4x2 S 400 a. Identify the feasible re
4. Consider the following linear programming problem: Max 5x, +5x2 s.t. x 100 女 80 2x, +4x2 S 400 a. Identify the feasible region. (7 points) b. Find all the extreme points-list the value of xi and x2 at each extreme point.8 points) c. What is the optimal solution? (5 points)

Answers

Extreme Point Max; 5x1 + 5x2
A = (0,80) 5 x 0 + 5 x 80 = 400
B = (40,80) 5 x 40 + 5 x 80 = 200 + 400 = 600
C = (100,50) 5 x 100 + 5 x 50 = 500 + 250 = 750
D = (100, 0) 5 x 100 + 5 x 0 = 500
E = (0, 0) 5 x 0 + 5 x 0 = 0

0 1001.0 a) Shad ed asiea I SD b) Extreme pointa: AV SD 10050 llCi0o,0 oE 50 10 IsD 300 300i χ , → (100,0 , (0,0 C0

c) Optimal solution; C(100, 50)


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