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 require 6 hours of manufacturing time and each Lady- 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 Lady-Sport frame is more complex and the supplier can provide only 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 Lady-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 Lady-Sport produced. 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. Find the optimal solution using the graphical solution procedure. Which constraints are binding?
. 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 require 6 hours of manufacturing time and each Lady-
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 Lady-Sport frame is
more complex and the supplier can provide only 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 Lady-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 Lady-Sport produced.
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.
Find the optimal solution using the graphical solution procedure.
Which constraints are binding?
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