Follow$-$Up Questions$1.$ In problem $2,$ if the price of the standard$-$mix package remains the same but the price of deluxe$-$mix nackages changes to $53.$ what would have bon the vortex that maximizes revenuc? What would be thomaximum revenue?$2.$ In problem $3,$ if the price of the standard phone remains the same but the price of the deluxe phone changes to $5\mathrm{.}00,$ which vertex wouki maximize the resenue? What would be the maximum revenuc?Do you think that real life problems often have challenging constraints? Do you think that real life probiems 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$\mathrm{.}4.$ 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 appar 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.