MODULE 1: LP & LP APPLICATIONS (QUESTION 9)

9. DETAILS ASWMSCI 15 2.E.023. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Embassy Motorcycles (EM) manufactures two lightweight motorcycles designed for easy handling and safety. The EZ-Rider model has a new engine and 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. 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 Lady-Sport engine requires 3 hours of manufacturing time. The Des Moines plant has 2,100 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 Lady-Sport frame is more complex and the supplier can only provide up to 320 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 Lady-Sport model. A maximum of 910 hours of assembly and testing time are available for the next production period. The company's accounting department projects a profit contribution of $2,400 for each EZ-Rider produced and $1,800 for each Lady-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. (Let E represent the EZ-Rider model and let L represent the Lady-Sport model.) Max 2,400E + s.t. Ls 2,100 LS Engine manufacturing time Lady-Sport maximum Assembly and testing time 2E + 2.5Ls E, L20 (b) Solve the problem graphically. What is the optimal solution? (E, L) = =([ (c) Which constraints are binding? (Select all that apply.) Engine manufacturing time O Lady-Sport maximum Assembly and testing time