Given the Following Linear Program The Graphical Solution to the Problem Is Shown Below

Essay

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.