Problem 1: Use the information below to complete the assignment VanWerken's motor cycle company makes two motor cycles. The model "E" has a new engine and a low profile. Model "L" is larger, it uses an older engine and is specifically designed to appeal to women. VanWerken's produces the engines for both models at its facilities in Texas. Each model "E" engine requires 5 hours of manufacturing time and each model "L" engine requires 3 hours of manufacturing time. The manufacturing plant has 1600 hours of engine manufacturing time available for the next production period. The motor cycle frame supplier can provide at most, 150 "E" frames and the model "L" supplier can a maximum of 280 model "L" frames for the next production period. Final assembly and testing requires 2 hours of each model "E" and 2.5 hours of each model "L". A maximum of 1000 hours of assembly and testing time are available for the next production period. The company's accounting department projects a profit contribution of $2400 for each model "E" produced and $2100 for each model "L" produced. Rubric objective function constraints A) Develop a complete linear programming formulation for this problem solution B) Using the "solver" tool in Excel, find the optimal amount of each motor cycle to produce, total in order to maximize profits. Be sure to indicate the number of each motor cycle to produce and the total profits that are expected. Do NOT round off final values of motorcycles to be produced. Do NOT use the 'integer' constraint function in solver. points earned points possible 10 50 40 100 0 Show all of your work below this line If you use "Solver", please be sure to paste a screen shot of the 'solver' dialog box below, along with your other work. NOTE: Please round off the final values for the optimal solution and value of the objective function to 2 decimal points, e.g. 198.54