(Solved Homework): Im not to sure on how to solve this problem, someone please show me how to solve…

Im not to sure on how to solve this problem, someone please show me how to solve the answer

Consider a four-step serial process with processing times given in the list below. There is one machine at each step of the process, and this is a machine-paced process. Step 1: 19 minutes per unit Step 2: 14 minutes per unit Step 3: 38 minutes per unit Step 4: 17 minutes per unit Assuming that the process starts out empty, how long will it take (in hours) to complete a batch of 109 units? (Do not round intermediate calculations. Round your answer to nearest hour) 160 hours

Expert Answer

Since the process is a serial process, units also will move sequentially one after another and pass through successive machines

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However, it is to be noted that processing time in all the machines are not same.

The Bottleneck machine will be the one which will have maximum processing time and this will determine throughput of the sequential process.

In the given example, it is clear that the machine at Step 3 has the highest processing time of 38 minutes and the throughout of the sequential system will be decided on basis of this.

Thus throughput of the system = 38 minutes per unit

We can thus conclude that it takes 38 minutes to get 1 unit out of the system

Thus amount of time which will be required to complete a batch of 109 units

= 38 minutes / unit x 109 units

= 4142 minutes

= 69.03 hours ( 69 rounded to nearest hour)

IT WILL TAKE 69 HOURS TO COMPLETE A BATCH OF 109 UNITS

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