Embassy Motorcycles (EM) manufactures two lightweight motorcycles designed for casy handing and safety. The EZ-Rider model has a new engine and a low profie that make it easy to basance. The Sport model is slightly larger and uses a more traditional engine. Embassy produces the engines for both modeis at its bes Moines, lowa plant. Each Ez-fider engine requires 6 nours of manutacturing. time, and each 5 port engine requires 3 hours of manufacturing time. The Des Moines plant has 2,100 hours of engine manufacturing time ava lable for the neat prosivtion period. Embirsirt 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 260 Soort frames for Pe next preductien. period. Final assembly and testing requires 2 hours for each EZ-Rider model and 2.5 hours for each 5 port model, A maximum of 910 hours of assembly and testing time are aralabie for ine newt production period. The company's accounting separtment projects a profit contribution of $2,400 for each 6Z-Rider produced and $1,800 for each Sport producet. (a) Formulate a linear programming model that can be used to determine the number of units of each model thut should be produced in order to maimize ithe tote contribution to proft. (thet E represent the EZ-Rider model and let L represent the Sport model.) (b) Solve the problem graphically, What is the optimal solution? (e,L)=( (c) Which constraints are binding? (Seiect all that apply) Engine manufacturing time Sport maximum Assembly and cesting time