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

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.
$\mathrm{M} A X \quad 5 X_{1}+7 X_{2}$

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.