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The motorcycle manufacturing company CU-Rider produces two popular motorcycles (Ducati 750F and 780R ). In the coming month, the manufacturer plans to produce up to 930 (= Constraint 1 or ' Cl ') motorcyles and wants to ensure the number of 'Ducati 750F produced does not exceed the number of 'Ducati 780R by more than 170 (= Constraint 2 or 'CII'). Each 'Ducati 750F' produced and sold results in a profit of $1180, while each 'Ducati 780R results in a profit of $670. The bikes are mechanically similar but differ in the appearance of the polymer-based trim around the fuel tank and seat. Each Ducati 750F 's trim requires 3.3 pounds of polymer and 4.2 hours of production time, while each 'Ducati 780R requires 3.7 pounds of polymer and 5.3 hours of production time. Assume that 1300 pounds of polymer and 2500 labor hours are available for production. Assume that motorcycles can be produced in fractions. Please note, unless stated otherwise, each question is independent of one another. Determine the total profit of the company if CU-Rider decides to produce 550 of the 'Ducati 750F ' and 380 of the 'Ducati 780R ' (ignore the polymer and production constraints) Does this production decision violate 'Constraint II'? total profit $ violation of Cil? 2) Determine the number of 'Ducati 750F' and 'Ducati 780R' CU-Rider needs to produce to maximize its total profit (include all constraints). 3) What happens to your optimal solution if CU-Rider increases the max production target (Cl)by 100