1. (U: 15pts, G: 10pts) Formulate the following as an optimization prob lem in the following mathematical format. (You do not have to solve this problem) Make sure to clearly state What your variables are. Format : FR |_L \.._../ minimize f (x) rx N \...../ subject to: (1,-(x) : 0 for i : 1,2,. . . ,p ejtx)20 forj21,2,...,q (3) Problem: You are a famous craft welder who welds only two signature steel works: dragon lamps and decorative yard gremlins. Fame or no, your goal is still to maximize the weekly prot from your labor. Your lamps sell for $1,700 and your gremlins sell for $2,500. So as to not ood the market, you never produce more than 2 lamps per week, and never more than 4 gremlins. You have more steel than you could ever use, but you do have limited time. For work life balance, you never work more than 6 hours a week (you have quite the life). The gremlins take 2 hours each to make, and the lamps take 1 hour. Write the problem for optimizing your how much you choose to make of each item per week