$($d$)$

The computer solution for the linear program in part $($a$)$ provides the following objective coefficient range information.

Variable Objective

Coefficient Allowable

Increase Allowable

Decrease

A $3\mathrm{.}000003\mathrm{.}000001\mathrm{.}00000$

B $2\mathrm{.}000001\mathrm{.}000001\mathrm{.}00000$

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

The objective coefficient range for variable A is

$3$

to

$.$ Since the change in part $($b$)$ is

$---$Select$---$

this range, we know the optimal solution

$---$Select$---$

change. The objective coefficient range for variable B is

to

$.$ Since the change in part $($c$)$ is

$---$Select$---$

this range, we know the optimal solution

$---$Select$---$

change.