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- fill in the space with the options plz thanksSolve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. HINT [See Example 1.] (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.)Maximize and minimize p = x + 2y subject to x + y ≥ 4 x + y ≤ 10 x − y ≤ 4 x − y ≥ −4.Which one is not an example of input to a mathematical model? a. Uncontrollable or environmental variableb. Answer not givenc. Controllable or decision variabled. Projected result
- Discuss the following.1. The Advantages of Linear Programming in Decision Making b. The Limitations and AssumptionsDefine each of the following terms: e. Sensitivity analysis; scenario analysis; Monte Carlo simulation analysisThe inputs to a model may have different roles. Among the choices, which should be excluded? Choices: A.decision variables B.intermediate calculation C.No choice given D.conversion factors E.historical data