Hi i am working on the following homework problem and i am stuck at multiple points please help me with it.

ACME Manufacturing has a 10 station, serial line that manufacturers world class widgets that are distributed all across the world. Production has not been performing as well as intended in the last few months so ACME has hired you to evaluate, diagnose, and propose changes to the line for management to consider. You will focus specifically on three stations within the 10 station line, which currently operates as a Push system. Based on your experience in your Production Systems course, you have decided to internally benchmark the three station system and diagnose potential issues in order to come up with improvements to the line. ACME would like to improve their performance in the line, and require identification of more improvement opportunities besides decreasing processing time (for example, they would like to see an array of improvements based on different strategies to buffer variability in a production system), but ACME has given no indication as to what is meant by performance. In addition, ACME is uncertain how their line is performing so they are not certain how much improvement is possible, they are looking to your team for performance improvement recommendations, evaluations, and tradeoff analysis.

First, evaluate the three station system using basics of Factory Dynamics. After evaluating and analyzing the three station system using Factory Dynamics, ACME has asked that you explore the following three scenarios and justify your results and conclusions using Factory Physics. A cost analysis is not required since ACME is first looking for trade-offs in performance for these three strategies. You must evaluate the 3 station system variability and diagnose potential issues in the line using Variability Basics from Factory Physics.

1. Improving the line as is (Push with infinite queue between stations) out of the improvements you investigate, one must be move batching. You must show quantitative results demonstrating the effect of your improvement strategy.
2. How implementing a Pull (pure or blocking/buffer) design would function and change the performance of the system (no guidance provided on how/where buffers, kanbans, or blocking should be located so that is up to you to determine or investigate).
3. Design of a CONWIP system with a stock at the beginning and end of the three station system (ACME is not familiar with CONWIP so the exact design specifications would be up to you).

Data for each of the three machines is provided below.

	All time in mins
	t0	0	MTTF	MTTR	cr	Ns	ts	s
M1	8.00	13.00	600.00	100.00	1.20	70.00	60.00	1.30
M2	9.00	15.00	300.00	30.00	1.00	50.00	30.00	3.00
M3	6.50	8.00	1000.00	100.00	1.00	150.00	100.00	1.00
ra	0.090	j/m	0.13
ca	1.00