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1 mark

Maximize , subject to , , and . For this LPP:

  1. A
    feasible region and the solution are bounded
  2. B
    feasible region and the solution are unbounded
  3. C
    feasible region is unbounded and solution is bounded
  4. D
    feasible region is bounded and solution is unbounded

Solution & Step-by-step Explanation

1. Feasible Region: The constraints are type, and the variables are non-negative. Plotting and in the first quadrant, the region satisfying is the area "above" and "to the right" of these lines. This region extends infinitely toward positive and . Thus, the feasible region is unbounded.2. Objective Function: We want to maximize . Since and can increase indefinitely within the feasible region, the value of will also increase without bound. Therefore, the solution is unbounded.

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Maximize , subject to , , and . For this LPP:
A
feasible region and the solution are bounded
B
feasible region and the solution are unbounded
C
feasible region is unbounded and solution is bounded
D
feasible region is bounded and solution is unbounded

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