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 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 300 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 850 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. Je+( es2,100 Engine manufacturing time Lady-Sport maximum 2E + 2.5L S Assembly and testing time E, L20 (b) Solve the problem graphically. What is the optimal solution?

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter8: Rational Expressions And Equations

Section8.7: Solve Proportion And Similar Figure Applications

Problem 8.150TI: For every 1 kilogram (kg) of a child’s weight pediatricians prescribe 15 milligrams (mg) of a fever...

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Transcribed Image Text: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 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 300 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 850 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.) Маx 2,400E + ( s.t. )E +( Jes2,100 Engine manufacturing time Lady-Sport maximum 2E + 2.5L < Assembly and testing time E, L20 (b) Solve the problem graphically. What is the optimal solution?

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