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Linear programming is a decision-making tool to aid allocates resources. A recent application of linear programming is in scheduling television commercials all through program breaks. Managers find out the optimal mix of commercials which meet the requirements. For illustration, Company B's commercial will be shown twice during Program Y.

Suppose that you are the manager responsible for finding out commercials. You have run the linear program and have a solution. There appear to be multiple solutions in the feasible region. How would you select which commercials to air during a particular program? How would you validate this solution to the management? If a new constraint was added to your program, what would you do?

Validate your answers by using illustrations and reasoning.

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