Consider the following linear program, which maximizes profit for two products$--$regular $($R$)$ and super $($S$)$:

MAX $50$R $+75$S

s$.$t$.$

$1\mathrm{.}2$ R $+1\mathrm{.}6$ S $<=600$ assembly $($hours$)$

$0\mathrm{.}8$ R $+0\mathrm{.}5$ S $<=300$ paint $($hours$)$

$\mathrm{.}16$ R $+0\mathrm{.}4$ S $<=100$ inspection $($hours$)$

Sensitivity Report:

Final

Reduced

Objective

Allowable

Allowable

Cell

Name

Value

Cost

Coefficient

Increase

Decrease

$B$$7$

Regular $=$

$291\mathrm{.}67$

$0\mathrm{.}00$

$50$

$70$

$20$

$C$$7$

Super $=$

$133\mathrm{.}33$

$0\mathrm{.}00$

$75$

$50$

$43\mathrm{.}75$

Final

Shadow

Constraint

Allowable

Allowable

Cell

Name

Value

Price

R$.$H$.$ Side

Increase

Decrease

$E$$3$

Assembly $($hr$/$unit$)$

$563\mathrm{.}33$

$0\mathrm{.}00$

$600$

$1$E$+30$

$36\mathrm{.}67$

$E$$4$

Paint $($hr$/$unit$)$

$300\mathrm{.}00$

$33\mathrm{.}33$

$300$

$39\mathrm{.}29$

$175$

$E$$5$

Inspect $($hr$/$unit$)$

$100\mathrm{.}00$

$145\mathrm{.}83$

$100$

$12\mathrm{.}94$

$40$

Select correct number.

If downtime reduced the available capacity for painting by $40$ hours $($from $300$ to $260$ hours$),$ profits would be reduced by $\_\_\_\_\_\_\_\_.$

Question $18$ options:

A$)$

$$1,333$

B$)$

$$58,332$

C$)$

$$0$

D$)$

$$300$