Maximize , subject to , , and . For this LPP:
- Afeasible region and the solution are bounded
- Bfeasible region and the solution are unbounded
- Cfeasible region is unbounded and solution is bounded
- Dfeasible 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.