8/19/2019 Sensitivity Analysis Problem

1/1

Sensitivity Analysis Problem

Optimal Tableau

C j

10 30 0 0

Solution Mix X1 X2 S1 S2 Quantity10 X1 1 4 2 0 10

0 S2 0 !" 1 200

# j 10 40 20 0 1$00

C j % # j 0 !10 !20 0

Ans&er t'e (ollo&in)*

1+ ,'at is t'e ran)e o( optimality (or t'e -ontribution rate o( t'evariable X1.

2+ ,'at is t'e ran)e o( insi)ni(i-an-e o( t'e -ontribution rate o( t'e

variable X2.3+ /o& mu-' &oul you be &illin) to pay (or one more unit o( t'e

(irst resour-e X1.4+ ,'at is t'e value o( one more unit o( t'e se-on resour-e.

+ ,'at &oul t'e optimal solution be i( t'e pro(it on X2  &ere

-'an)e to 3 instea o( 30.+ ,'at &oul t'e optimal solution be i( t'e pro(it X1 &ere -'an)e

to 12 instea o( 10. /o& mu-' &oul t'e maximum pro(it-'an)e.

"+ /o& mu-' -oul t'e ri)'t 'an sie in -onstraint number t&o be

e-rease be(ore pro(it &oul be a((e-te.