Follow-Up Questions 1. In problem 2, if the price of the standard-mix package remains the same but the price of deluxe-mix packages changes to $3, what would have been the vertex that maximizes revenue? What would be the maximum revenue? 2. In problem 3, if the price of the standard phone remains the same but the price of the deluxe phone changes to $80, which vertex would maximize the revenue? What would be the maximum revenue? 3. Do you think that real life problems often have challenging constraints? Do you think that real life problems are always easy to solve, or do you think that many involve sitting down and working patiently through mathematical computations? In a few short sentences explain your thoughts on these questions. 4. Problem 2 and Problem 3 had very different premises. However, from a mathematical perspective, do you believe they are similar? Do you believe that there may be many "real life" scenarios which appear very different on the surface, but which through the language of mathematics become similar? In a few short sentences, explain your thoughts on these questions