Question: 10. For the linear program Max 2 A + 3 B s.t 1 A + 2 B 6 5 A + 3 B 15 A

10. For the linear program

Max 2A + 3B

s.t

1A + 2B 6

5A + 3B 15

A, B 0

Find the optimal solution using the graphical solution. 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 + 2B 5

A, B 0

19. Given the linear program

Max 3A + 4B

s.t.

-1A + 2B 8

1A + 2B 12

2A + 1B 16

A, B 0

  1. Write the problem in standard form.
  2. Solve the problem using the graphical solution procedure.
  3. What are the values of the three slack variables at the optimal solution?

Can you please explain the steps and workings so I can understand?

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