Sheets of metal pass sequentiallyr through 4 presses: shear, punch, form, and bend. Each machine is subject to downtime and die change. The parameters for each machine are as follows: Process Hate Time to TIITIE' to No. of Sheets to a Time to [per min.] Failure [min.} Repair [min.} Die Change [no. Change [tie Note that processing time is given as a rate; for example, the shear press works at a rate of 4.5 sheets per minute. Assume that processing time is constant. The automated equipment makes the time to change a die fairly constant, so it is assumed to be always 25 minutes. Die changes occur between stamping of two sheets after the number shown in the table have gone through a machine. TlITIE to failure is assumed to be exponentially distributed, with the mean given in the table. Tlme to repair is assumed to be uniformly distributed, with the mean taken from the table and a halfwidth of 5 minutes. Assume that an unlimited supply of material is available in front of the shear press, which processes one sheet after the next as long as there is space available between itself and the nest machine, the punch press. In general, one machine prCEEE'S one sheet after another continuously, stopping only for a dovmtime, for a die change, or because the available buffer space between itself and the next ma chine becomes full. Assume that sheets are taken away after bending at the bend press. Buffer space is divided into 3 separate areas. one between the shear and the punch presses, the second between the punch and form presses, and the last between form and bend. [a] Assume that there is an unlimited amount of space between machines. Run the simulation for mom hours [about 1 month with 14hour days, 5 days per week}. Where do backups occur? what is the average daily throughput? [b] If the total buffer space for all three buffers is limited to 15 sheets [not counting before shear or after bend], how would you recommend dividing this space among the three adjacent pairs of machines? What is the average daily throughput, and does it depend on the distribution of the available buffer size