An appliance manufacturer produces two models of microwave ovens: X and Y. Both models require fabrication work; each X uses 8 hours of fabrication and each Y uses 13 hours of fabrication. There are 32 fabrication hours available this week. X and Y contribute $50 and $30 to the total profit, respectively. To find quantities of X and Y that will maximize the total profit, build a Linear Programming model and solve the LP model using Solver. What is the optimal profit?