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Given the Following Linear Program:
the Graphical Solution to the Problem

Question 34

Essay

Given the following linear program:
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.
MAX5X1+7X2\mathrm{M} A X \quad 5 X_{1}+7 X_{2}

s.t
x1≤62x1+3x2≤19x1+x2≤8x1,x2≥0\begin{aligned} x 1 & \leq 6 \\ 2 x_{1}+3 x_{2} & \leq 19 \\ x_{1}+x_{2} & \leq 8 \\ x_{1}, x_{2} & \geq 0 \end{aligned} Given the following linear program: 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. \mathrm{M} A X \quad 5 X_{1}+7 X_{2} s.t \begin{aligned} x 1 & \leq 6 \\ 2 x_{1}+3 x_{2} & \leq 19 \\ x_{1}+x_{2} & \leq 8 \\ x_{1}, x_{2} & \geq 0 \end{aligned} 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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a. Ranges of optimality: blured image and ...

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