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Maxwell
Manufacturing makes two models of felt tip marking pens. Requirements for each
lot of pens are given below.

Fliptop Model

Tiptop Model

Available

Plastic

3

4

36

Ink
Assembly

5

4

40

Molding
Time

5

2

30

The
profit for either model is $1000 per lot.

  1. What is the linear
    programming model for this problem?
  2. What are the boundary
    points of the feasible region?
  3. What is the
    profitability at each boundary point of the feasible region?
  4. Find the optimal
    solution.
  5. Will there be excess
    capacity in any resource? If so, how much excess capacity?

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