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Given the Following Linear Program

Question 1

Essay

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.

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