ANSWER THE FOLLOWING QUESTIONS DONT USE CHAT GPT PLEASE

Note: Submit hand written answers, typed answers will not be accepted. Q.1: (50 pts.) A 15 -station in-line transfer line has an ideal cycle time of 1.6min. Station breakdowns occur with a probability of 0.01 . Average downtime is 5.0min per line stop. The starting work part is a casting that costs $4.25. Operating cost of the transfer line is $108/hr, and tooling cost is $0.07 per piece per station. Determine (a) ideal production rate, (b) frequency of line stops, (c) average actual production rate, (d) line efficiency and (e) cost per completed part. Q.2: (50 pts.) (A) The uptime efficiency of a 20 station automated production line is only 40%. The ideal cycle time is 48sec, and the average downtime per line stop occurrence is 3.0min. Assume the frequency of breakdowns for all stations is equal ( pi=p for all stations) and that the downtime is constant. To improve uptime efficiency, it is proposed to install a storage buffer with a 15 -part capacity for $14,000. The present production cost is $4.00 per unit, ignoring material and tooling costs. How many units would have to be produced for the $14,000 investment to pay for itself