Question: Question (3): Solve the following Problem: Consider the following linear program: MAX. Z = 5X + 6Y Subject to: . 2X + Y

Question (3): Solve the following Problem:

Consider the following linear program:

MAX. Z = 5X + 6Y

Subject to:

. 2X + Y <= 12 (1)

2X + 4Y <= 24 (2)

  1. Solve this linear program graphically.
  2. Determine the optimal quantities of X, Y, and the value of Z.
  3. What is the slack for constraint (1)?
  4. Find the change in the objective function coefficient when profit is raised in (y) from 6 to 12. (3 marks)

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