5.17. Reconsider the example illustrating the use of robust optimization that was presented in Section 5.7 2 . Wyndor management now feels that the analysis described in this example was overly conservative for three reasons: (1) it is unlikely that the true values of the parameters, HD3 and Hw3, will be as far as half an hour off of the original estimate, (2) it is even more unlikely that both estimates will turn out to simultaneously lean toward the undesirable end of their ranges of uncertainty, and (3) there is a bit of latitude in the constraint to compensate for violating it by a tiny bit. Therefore, Wyndor management has asked its staff (you) to solve the model again while using ranges of uncertainty that are half as wide as those used in Section 5.7 2 . a. Apply the procedure for robust optimization with independent parameters. What is the resulting optimal solution and how much would this increase the total profit per week? b. If Wyndor would need to pay a penalty of $150 per week to the distributor if the production rates fall below these new guaranteed minimum amounts, should Wyndor use these new guarantees