tagionenitating tere W Seriverionumum Embagsy Motorcycles (LM) manufactures two lightwoight motorcycles designed for easy handling and safety. The EZ. Rider model has a new engine and a low profle that make it easy to balance. The Sport model is slightly larger and uses a more traditional engine. Embaspy produces the engines for both models at its Des Moinns, lowa plant. Each EZ-aider engine requires 6 hours of manufacturing time, and each Sport engine reguires a hours of manufacturing time. The Des Moines plant has 2 , 100 hours of engine manudacturing time available for the next production period. Embassy's motorcycle frame supplier can supply as many EZ-Rider frames as qeeded. Homever, the 5 port frame is more complox and the supplier can only provide up to 240 5port frames for the next production portod. Final assembly and testing required 2 hours for esch E2 -fider model and 2.5 hours for. each Sport model. A maximum of 910 hours of assembly and resting time are avalible for the next production period. The company's accountioy department prolectr a profit contribution of $2,400 for each rz-Rider produced and $1, , Doo for each 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 fotar contritution to profit, (Let E represent the EZ-Rider model and let L represent the 5port model.) Engine mamufacturing time (b) Solve the probles graphically, What is the ogtimai solution? (c,t)=( (c) wilich constraints are binding? (Select all that apply.) Engine manufacturing time Sport maximum Acsembly and testing time Embassy Motorcydes (EM) manufactures two lightweight motarcycles designed for cisy handting and safety. The EZ-Rider model has a new engine and a low profile that make it easy to balance. The Sport model is sightly larger and uses a more traditional engine. Embassy produces the engines for both models at its Des Moines, lowa plant. Each EZ-Rider engine requires 6 hours of manufocturing time, and each Sport enpine reaures. 3 hours of manufacturing time. The Des Moines plant has 2,100 tvours of engine manufacturino time avalable for the next productoon penod. Embissy's motorcycle frame supplier can supply as many Ez-Rader frames as needed. However, the Sport frame is more complex and the supplier can only provide up ta 240 sport frames for the next production period Final assembly bnd testing requires 2 hours for eath E-Fider model and 2.5 hours for each Spor model A maemim of 910 hours of assembiy and testing time are available for the noxt production period. The company's accaunting department projects a profit contnbution of $2.400 for each Ez-Rider produced and 51,800 for each Sport produced (a) Formulate a linear programming model that can be used to detemane the mumber of units of each model that shouid be produced in order to maxirmike the totat contribusion to profit: (Ler E represent the EZ-Aider modet and het L repesscrit the sport modet) Max
