Question: Problem 7-35 (Algorithmic) For the linear program: Min 5A + 3B s.t. 4A + 2B 18 1A + 2B 14 3B 12 A, B 0

Problem 7-35 (Algorithmic) For the linear program: Min 5A + 3B s.t. 4A + 2B 18 1A + 2B 14 3B 12 A, B 0

  1. Write the problem in standard form.

    MaxMin

    fill in the blank 2 A + fill in the blank 3 B + fill in the blank 4 S1 + fill in the blank 5 S2 + fill in the blank 6 S3
    s.t.
    fill in the blank 7 A + fill in the blank 8 B S1

    =

    fill in the blank 10
    fill in the blank 11 A + fill in the blank 12 B S2

    =

    fill in the blank 14
    fill in the blank 15 B + S3

    =

    fill in the blank 17
    A, B, S1, S2, S3

    =

    fill in the blank 19
  2. What is the optimal solution? The optimal solution is A = fill in the blank 20, B = fill in the blank 21
  3. What are the values of the slack and surplus variables? S1 = fill in the blank 22 S2 = fill in the blank 23 S3 = fill in the blank 24

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