For the linear program

SELF

test

Max

2A + 3B

S.T. 1A + 2B 6

5A + 3B 15

A, B 0 find the optimal solution using the graphical solution procedure. what is the value of the

objective function at the optimal solution?

13. Consider the following linear program:

Max

1A + 2B

s.t.

1A 5

1B 5

2A + 2 = 12

A, B 0 b.

what are the extreme points of the feasible region?

c. Find the optimal solution using the graphical procedure

19.

Given the linear program

Max 3A + 4B

s.t. -1A+2B 8

1A+2B12

2A + 1B 16

A,B 0

a. make problem in standard form.

Solve the problem using the graphical solution procedure.

a. write the problem in standard form. c. what are the values of the three slack variables at the optimal solution?