Question: Formulate a linear programming model for the business problem you figured up. This business problem will be related to marketing. After you write the problem,

Formulate a linear programming model for the business problem you figured up. This business problem will be related to marketing. After you write the problem, you should solve it via the QM software considering the requirements below: You should first write the business problem you figured up (related to the business subfield requested) by explaining what the problem is. Then, you should define what the objective is, what you want to learn for optimization, and what your limitations are. Please be sure you are explaining these clearly and in detailed. The number of decision variables should be between 5 and 8, and the number of constraints should be between 7 and 10 in the model. (Therefore, please write your business problem accordingly). You should show me in your report in a separate section that what you have written (figured up) in your scenario corresponds to which equation (objective function and constraints) in your mathematical model. By using QM software, you should show optimal solution (i.e., the optimal values of decision variables and objective function). Please share the screenshots in your report. You should write the results of sensitivity analysis and summarize the important findings in your sensitivity analysis. Please share the screenshots in your report. 2. Your second task is to formulate a mixed integer linear programming model by adding at least two more binary (0-1 integer) variables to the business problem you wrote in the first stage. Then, please solve this problem via the QM software considering the requirements below: Write how you modified the story of your business problem after adding binary (0-1 integer) variables. Please also define your binary (0-1 integer) variables and then show how their addition to the model requires changes in the math equations of objective function and constraints. By using QM software, you should show optimal solution (i.e., the optimal values of decision variables and objective function). Please share the screenshots in your report.

Additional Important Information It is your responsibility to design a model that gives feasible and bounded solution. I will not consider models that provide infeasible and unbounded solutions because they imply you are making logical fallacy while modelling the problem.

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