Create a separate Excel file for each of the following variations of the TV Advertising Problem presented in class. Please do the following:1. (3.5 pts.) In addition to the constraints in the original advertising problem, suppose that General Flakes also wants to obtain at least 170 million exposures to men, and at least 170 million exposures to women.
1a. By how many million exposures is the original models optimal solution off from satisfying each of these two constraints?
1b. Modify the model to ensure that these two constraints are met and rerun Solver to find a new optimal solution. What is the new optimal ad strategy?
1c By how many dollars does the optimal total cost increase compared to that of the original model?
2. (3.5 pts.) Recall the alternate version of the advertising model where we maximized the total # of excess exposures across all 6 demographic groups while satisfying a budget constraint on the total advertising cost.
2a. Go back to minimizing the total advertising cost but add a single constraint that puts a lower limit of 20 (million) on the total number of excess exposures across all 6 groups, i.e., Total Excess Exposures = 20. Make 20 an input cell for your model. (Just add one constraint for the SUM of the excess exposures across all 6 groups, not 6 separate constraints for each of the 6 demographic groups.) Compared to the cost of the original problems optimal solution, how many dollars more does it cost to satisfy this condition?
2b. Run a sensitivity analysis on this lower limit (either by using SolverTable or manually with Solver, copying and pasting the results as needed), where the range of values goes from 20 to 50 in increments of 5 (i.e., use 20, 25,
, 50). Be sure to report both the optimal ad strategy and its total cost for each of the seven runs.
2c. Make a tradeoff curve (i.e., an XY scatter plot) of the results of the sensitivity analysis showing how the optimal total cost (on the y-axis) changes as a function of the lower limit on the total number of excess exposures (on the x-axis).
2d. By how many dollars does the optimal total cost increase per additional million excess exposures required between 25 and 30 million (i.e., whats the slope between 25 and 30 million)?
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