Given the following linear program: MAX 5x₁ + 7x₂ s.t.x₁

Question

Given the following linear program:
MAX 5x₁ + 7x₂
s.t.x₁ < 6
2x₁ + 3x₂ < 19
x₁ + x₂ < 8
x₁,x₂ > 0
The graphical solution to the problem is shown below.From the graph we see that the optimal solution occurs at x₁ = 5,x₂ = 3,and z = 46.

Given the following linear program: MAX 5x<sub>1</sub> + 7x<sub>2</sub> s.t.x<sub>1</sub> < 6 2x<sub>1</sub> + 3x<sub>2</sub> < 19 x<sub>1</sub> + x<sub>2</sub> < 8 x<sub>1</sub>,x<sub>2</sub> > 0 The graphical solution to the problem is shown below.From the graph we see that the optimal solution occurs at x<sub>1</sub> = 5,x<sub>2</sub> = 3,and z = 46. a.Calculate the range of optimality for each objective function coefficient. b.Calculate the dual price for each resource.

a.Calculate the range of optimality for each objective function coefficient.
b.Calculate the dual price for each resource.

Quizplus · Accepted Answer

The Answer of Given the following linear program: MAX 5x₁ + 7x₂ s.t.x₁ < 6 2x₁ + 3x₂ < 19 x₁ + x₂ < 8 x₁,x₂ > 0 The graphical solution to the problem is shown below.From the graph we see that the optimal solution occurs at x₁ = 5,x₂ = 3,and z = 46. a.Calculate the range of optimality for each objective function coefficient. b.Calculate the dual price for each resource.

Given the Following Linear Program