need to solve all question

Metal frames for kick scooters are manufactured in two stages: Stamping and assembly. Each frame is made up of two pieces: one unit of part A and one units of part B. Currently, the stamping machine rotates its production between 120 part A's and 120 part B's. In the stamping machine, setup times and production rates for each part are follows: Part A Part B Setup time (mins) 60 Production rate (parts per hour) 48 120 90 Completed parts move to assembly stage only when the entire batch is produced. At assembly, parts are assembled manually to form the finished products. The two parts and a number of small purchased components are required for each unit of final product. Each product requires 25 minutes of labor time to assemble. There are 10 workers in assembly. There is sufficient demand to sell every scooter the system can make a) At the current batch size, what is the capacity of stage 1 (stamping) in (units per hour)? (3 points) b) At the current batch size, which stage is the bottleneck of the system? Why? (3 points) c) Keeping everything else constant, which batch size for the stamping machine would minimize inventory while maximizing the flow rate? (3 points)