2. The Gourmet Grill Company manufactures and sells two different types of grills: propane and electric. Each propane grill sells for $320 and costs $220 to manufacture. Each electric grill sells for $260 and costs $180 to manufacture. Each grill goes through four operations in the manufacturing process. The hours required by each type of grill in each of these manufacturing processes is summarized as follows: Manufacturing Process Machine Press Fabrication Assembly Testing Hours required per unit Propane Electric 2 1 4 5 2 1 3 1 In the next production cycle there are 2,400 hours of machine press time available, 6,000 hours of fabrication, 3,300 hours of assembly, and 1,500 hours of testing capacity. Assume Gourmet Grill can sell everything they make and would like to determine the production plan that would maximize profit. a) Write out the LP model for this problem (the equation to optimize and all constraints). b) Sketch the feasible region for this problem. c) Determine the optimal solution either by using level curves or modeling with Solver.