production requirements per unit are as follows:

and deluxe models $(D)$ should the company produce in order to maximize profit? The linear programming model for the problem is as follows:

The computer solution is shown below.

Optimal Objective Value $=18320\mathrm{.}00000$

Variable Value Reduced cost

$E,140\mathrm{.}00000,0\mathrm{.}00000$

S $,100\mathrm{.}00000,0\mathrm{.}00000$

D $,0\mathrm{.}00000,-24\mathrm{.}00000$

Constraint Slack$/$Surplus Dual Value

$1,0\mathrm{.}00000,31\mathrm{.}00000$

$2,0\mathrm{.}00000,32\mathrm{.}00000$

$3,280\mathrm{.}00000,0\mathrm{.}00000$

Variable Objective Allowable Allowable

Coefficient Increase Decrease

$E63\mathrm{.}00000,12\mathrm{.}00000,15\mathrm{.}50000$

S $\{\begin{array}{c}\text{:}95\mathrm{.}00000\\ 31\mathrm{.}00000\\ 8\mathrm{.}00000\end{array}$

D $,135\mathrm{.}00000,24\mathrm{.}00000$ Infinite

Constraint

RHS Allowable

Value Allowable

Decrease

$1,240\mathrm{.}00000,70\mathrm{.}00000,70\mathrm{.}00000$

$2,340\mathrm{.}00000,70\mathrm{.}00000,100\mathrm{.}00000$

$32600\mathrm{.}00000$ Infinite $280\mathrm{.}00000$

$($a$)$ Identify the range of optimality for each objective function coefficient. $($If there is no upper or lower limit$,$ enter NO LIMIT.$)$

per unit. What will the new optimal solution be$?$

E

S

D

profit

units

units

units

$($c$)$ Identify the range of feasibility for the right$-$hand$-$side values. $($If there is no upper or lower limit$,$ enter NO LIMIT.$)$

constraint $1$

to

constraint $2$

constraint $3$

to

to