Chapter $3$ Linear Progr

Problems

Graphical Solution and Range of Optimality for Objective Function Coeftr

Consider the linear program below $3A+2B$

s$.$t$.$

$1A+1B10$

$3A+1B24$

$1A+2B16$

$A,B0$

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

b$.$ Assume that the objective function coefficient for A changes from $3$ to $5.$ Dow

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

optimal solution.

c$.$ Assume that the objective function coefficient for A remains $3,$ but the objectir

function coefficient for $B$ changes from $2$ to $4.$ Does the optimal solution chars

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: