$.$ Formulate and solve a linear optimization model for Andrea that will help you advise her if she should lease the booth. $($Assume that Andrea can pay for the first game$$s booth rental and oven lease after the game.$)[4\mathrm{.}0$ pts$]$ Be sure to define the decision variables explicitly and to write out the objective function and constraints clearly. $$ Identify at least two key assumptions that you have made in order to formulate and solve this problem. $$ In addition to the mathematical expressions, provide a brief explanation of the formulation in words.