A worker is responsible from three identical machines. The machines work automatically after serviced by the worker. Assume that at time 0, all of the machines are waiting for service. Service time for the machines is 0.15 minutes while automatically running time is 0.75 minutes. Traveling from machine to machine takes 0.1 minutes. a. Create a worker machine activity chart with the given information. (This part can be handwritten and added to your word document as a clear and readable font in a form of a good resolution image). 15 points b. Calculate the productivity of all the resources for the steady state case. 10 points c. Calculate the how much time (in minutes) did it take each machine to finish 3 cycles of operation, and use it to calculate the percentage of non-value adding time spent while machines are Idle. 10 points d. Explain possible and reasonable ways you could apply to improve the productivity of the current system. Re-draw the worker machine activity chart implementing one of your suggestions. Comment and compare between the current and improved system in terms of productivity percentage. 15 points