Problem 1: Number of Motorcycles to Produce. Embassy Motorcycles (EM) manufactures two lightweight motorcycles designed for easy handling and safety. The EZ-Rider model has a new engine and a low profile that make it easy to balance. The Sport model is slightly larger and uses a more traditional engine. Embassy produces the engines for both models at its Des Moines, Iowa, plant. Each EZ-Rider engine requires 6 hours of manufacturing time, and each Sport engine requires 3 hours of manufacturing time. The Des Moines plant has 2100 hours of engine manufacturing time available for the next production period. Embassy's motorcycle frame supplier can supply as many EZ-Rider frames as needed. However, the Sport frame is more complex and the supplier can only provide up to 280 Sport frames for the next production period. Final assembly and testing requires 2 hours for each EZ-Rider model and 2.5 hours for each Sport model. 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 EZ-Rider produced and $1800 for each Sport produced. a. Formulate a linear programming model that can be used to determine the number of units of each model that should be produced in order to maximize the total contribution to profit. Solve for the optimal solution. J11 X V fx Name Box A B C D E F G H Standard Professional W N Unit Cost Resources Resources Resource Requirements Used Available /Required Minimum Carbon Maximum Kevlar 8 Total Yards 9 10 Item Item 11 Standard Professional Total Cost 12 Production 13 14 15 16 17 18 19 20