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

Variable Objective

Coefficient Allowable

Increase Allowable

Decrease

X $8\mathrm{.}000004\mathrm{.}000004\mathrm{.}00000$

Y $12\mathrm{.}0000012\mathrm{.}000004\mathrm{.}00000$

How would this objective coefficient range information help you answer parts $($b$)$ and $($c$)$ prior to re$-$solving the problem?

The objective coefficient range for variable X is

to

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

$---$Select$---$

this range, we know the optimal solution

$---$Select$---$

change. The objective coefficient range for variable Y is

to

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

$---$Select$---$

this range, we know the optimal solution

$---$Select$---$

change.