use Excel solution, not computer output on Figures in text:

solve only Problems a b and d only

Use this objective coefficient range information to answer parts $($b$)$ and $($c$).$

$2.$ Graphical Solution and Range of Feasibility for Constraints. Consider the linear program in Problem $1.$ The value of the optimal solution is $27.$ Suppose that the righthand side for constraint $1$ is increased from $10$ to $11.$ LO $1,5$

a$.$ Use the graphical solution procedure to find the new optimal solution.

b$.$ Use the solution to part $($a$)$ to determine the dual value for constraint $1.$

c$.$ The computer solution for the linear program in Problem $1$ provides the following right$-$hand$-$side range information:

What does the right$-$hand$-$side range information for constraint $1$ tell you about the dual value for constraint $1?$

d$.$ The dual value for constraint $2$ is $0\mathrm{.}5.$ Using this dual value and the right$-$hand$-$side range information in part $($c$),$ what conclusion can be drawn about the effect of changes to the right$-$hand side of constraint $2?$