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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 Sport model is slightly larger and uses a more traditional engine. 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 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 Sport frame is more complex and the supplier can only provide up to $280$ Sport frames for the next production period. Final assembly and testing requires $2$ hours for each EZ$-$Rider model and $2\mathrm{.}5$ hours for each Sport model. A maximum of $880$ 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 Sport produced.....