Given the following linear program: $$\begin{array} { l r } \operatorname { Max } & 5 x _ { 1 } + 7 x _ { 2 } \ \text { s.t. }& x _ { 1 } \leq 6 \ & 2 x _ { 1 } + 3 x _ { 2 } \leq 19 \ & x _ { 1 } + x _ { 2 } \leq 8 \ & x _ { 1 } , x _ { 2 } \geq 0 \end{array}$$ 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 obj.func.= 46. a.Calculate the range of optimality for each objective function coefficient. b.Calculate the dual price for each resource.

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The Answer of Given the following linear program: $$\begin{array} { l r } \operatorname { Max } & 5 x _ { 1 } + 7 x _ { 2 } \ \text { s.t. }& x _ { 1 } \leq 6 \ & 2 x _ { 1 } + 3 x _ { 2 } \leq 19 \ & x _ { 1 } + x _ { 2 } \leq 8 \ & x _ { 1 } , x _ { 2 } \geq 0 \end{array}$$ 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 obj.func.= 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 The Graphical Solution to the Problem Is Shown Below