Question: DETAILSASWMSCI15 2.E.019. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following linear program. Max 3 A + 4 B s.t. 1 A + 2

DETAILSASWMSCI15 2.E.019.

MY NOTES

ASK YOUR TEACHER

PRACTICE ANOTHER

Consider the following linear program.

Max 3A+ 4B
s.t.
1A+ 2B 9
1A+ 2B 14
2A+ 1B 18
A,B0

(a)

Write the problem in standard form.

Max 3A + 4B +

S1

 +

S2

 +

S3
s.t.
1A + 2B +

= 9
1A + 2B +

= 14
2A + 1B +

= 18

A,B,S1,S2,S3 ? = 0

(b)

Solve the problem using the graphical solution procedure.

(A,B) =

(c)

What are the values of the three slack variables at the optimal solution?

S1

=

S2

=

S3

=

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