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Q 1 . 1 1 . Solving Linear Program with Graphical Solution Method. Solve the following linear program using the graphical solution procedure. LO 2
Q Solving Linear Program with Graphical Solution Method. Solve the following linear program using the graphical solution procedure. LO Max Q Number of Motorcycles to Produce. Embassy Motorcycles EM manufactures two lightweight motorcycles designed for easy handling and safety. The EZRider 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, lowa, plant. Each EZRider engine requires hours of manufacturing time, and each Sport engine requires hours of manufacturing time. The Des Moines plant has hours of engine manufacturing time available for the next production period. Embassy's motorcycle frame supplier can supply as many EZRider frames as needed. However, the Sport frame is more complex and the supplier can only provide up to Sport frames for the next production period. Final assembly and testing requires hours for each EZRider model and hours for each Sport model. A maximum of hours of assembly and testing time are available for the next production period. The company's accounting department projects a profit contribution of $ for each EZRider produced and $ for each Sport produced. LO 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. b Solve the problem graphically. What is the optimal solution? c Which constraints are binding?
Q
Solving Linear Program with Graphical Solution Method. Solve the following linear program using the graphical solution procedure. LO
Max
Q
Number of Motorcycles to Produce. Embassy Motorcycles EM manufactures two lightweight motorcycles designed for easy handling and safety. The EZRider 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, lowa, plant. Each EZRider engine requires hours of manufacturing time, and each Sport engine requires hours of manufacturing time. The Des Moines plant has hours of engine manufacturing time available for the next production period. Embassy's motorcycle frame supplier can supply as many EZRider frames as needed. However, the Sport frame is more complex and the supplier can only provide up to Sport frames for the next production period. Final assembly and testing requires hours for each EZRider model and hours for each Sport model. A maximum of hours of assembly and testing time are available for the next production period. The company's accounting department projects a profit contribution of $ for each EZRider produced and $ for each Sport produced. LO
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.
b Solve the problem graphically. What is the optimal solution?
c Which constraints are binding?
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