Using the information provided.

1. 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 to maximize total profit contribution
2. Graph the feasible region
3. Determine the coordinates of each extreme point
4. What is the optimal solution

OECS Motorcycles (OM) manufacturers 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 Lady-Sport model is slightly larger, uses a more traditional engine, and is specifically designed to appeal to women riders. OECS produces the engines for both models at its St Vincent, plant. Each EZ-Rider engine requires 6 hours of manufacturing time and each Lady-Sport engine requires 3 hours of manufacturing time. The St Vincent plant has 2100 hours of engine manufacturing time available for the next production period. OECS's motorcycle frame supplier can supply as many EZ-Rider frames as needed. However, the Lady-Sport frame is more complex and the supplier can only provide up to 280 Lady-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 LadySport 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 Lady- Sport produced