Question
Explain the importance of Integer Programming in business decisions. Give two real-life
examples where Integer Programming is more appropriate than Linear Programming.
Answer :
Word Count : 572
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Integer Programming is an important mathematical technique used in Operations Research for making optimal decisions when some or all decision variables must take only integer values. Unlike Linear Programming, which allows fractional solutions, Integer Programming considers practical situations where decisions involve whole numbers, such as the number of machines, employees, vehicles, projects, or facilities. It helps organizations achieve the best possible allocation of limited resources while satisfying various constraints. The importance of Integer Programming in business decisions arises from its ability to represent real-world decision problems more accurately. Many business decisions cannot be expressed through fractional values. For example, a company cannot purchase 3.5 machines or hire 6.7 employees. Integer Programming ensures that the solutions obtained are realistic and implementable. It provides managers with a scientific approach to decision-making by identifying the optimal combination of choices that maximizes profit, minimizes cost, or improves
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