Suppose we have the following linear programming problem with A$,$B$,$ C and D as

the decision variables.

Max $90$A $+84$B $+70$C $+60$D

subject to

$10$A$+8$B $9$C$+15$D $5000$

$2$A $+3$B $+3$C $<1800$

A$+$B$+$C$+$D$=600$

C$150$

A$,$B$,$C$,$D$20$

Below is the Sensitivity Report for this linear programming problem

Variable Celk

$""$

Redurced Obiectiv

Cost

Cceflici

$25$

$425$

S

$150$

$70$

C

eo

E

SBSG

alac

SCS$6$ Vale$-$B

$D$$6$ Vale$-$C

$ES$6$ Vale: D

$1$E:$30$

C

$17$

$43$

E

$34$

$1$E$+30$

$1$E$+30$

Constraints

ae Contreett

o

$\text{'},$

H

RHSd

Ino

$5$opo

$5$OOD

$850$

$50$

$177$S

$1800$

$1$E$+30$

$25$

$600$

$6$O

$6003\mathrm{.}571428571$

$85$

$150$

$15$o

$50$

$150$

$25$

$1$E:$30$

$425$

$1$E$+30$

P

$150$

$150$

$1$E:$30$

$07\mathrm{.}142857143$

L

NEm

$G$$11$ Constraint $1$: Amount

$G$$12$ Constraint $2$: Amount

$G$$13$ Constraint $3$: Amount

$GS$14$ Constraint. $4$; Amount

$$6$$$15$ A Non$-$Negatviy: Amount

SG$$16$

Negatuiy

SGS$17$ C Non$-$Negativity. Amtio

$GS$18$ D Non$-$Ncentity. Aoul

Using this report, how much will the value of the objective function increase if the

limit on Constraint $1$ increases by $1$ unit?

$3$

$0$

$60$

$45$