Q1 Mike's Motors produces motorcycles at 3 plants. At each plant, the , raw material, and production costs (not including wages) required to build a motorcycle are as shown in the table. Each plant has sufficient machine capacity to produce up to 750 motorcycles per week. Each of Mike's workers can work a total of 40hrs/ week and are paid $12.50/hr. Mike has 525 workers and has 9,400 units of raw material. Each week, at least 1,400 motorcycles must be built. Formulate this problem to minimize the weekly cost. You need to define decision variables and provide the objective function and constraints)