Graphical Solution and Range of Optimality for Objective Function Coefficients.

Consider the linear program below and answer the following. LO $1,4$

Min $8x+12Y$

$s.t.$

$,1x+3Y9$

$,2x+2Y10$

$,6x+2Y18$

$,A,B0$

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

b$.$ Assume that the objective function coefficient for $x$ changes from $8$ to $6.$ Does

the optimal solution change? Use the graphical solution procedure to find the new

optimal solution.

c$.$ Assume that the objective function coefficient for $x$ remains $8,$ but the objective

function coefficient for $Y$ changes from $12$ to $6.$ Does the optimal solution change?

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

d$.$ The computer solution for the linear program in part $($a$)$ provides the following

objective coefficient range information:

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