(facility layout)\npeter’s paper clips uses a three - stage production process: cutting wire to prescribed…

(facility layout)\npeter’s paper clips uses a three - stage production process: cutting wire to prescribed lengths, inner bending, and outer bending. the cutting process can produce at a rate of 200 pieces per minute; inner bending, 220 pieces per minute; and outer bending, 190 pieces per minute. determine the hourly capacity of each process stage and the number of machines needed to meet an output rate of 25,000 units per hour. round your answers for the hourly capacity of each process stage to the nearest whole mumber. round your answers up for the number of machines needed to a whole number.\ncutting process:\nhourly capacity: pieces/hour\nnumber of machines needed: machine(s)\ninner bending:\nhourly capacity: pieces/hour\nnumber of machines needed: machine(s)\nouter bending:\nhourly capacity: pieces/hour\nnumber of machines needed: machine(s)

(facility layout)\npeter’s paper clips uses a three - stage production process: cutting wire to prescribed lengths, inner bending, and outer bending. the cutting process can produce at a rate of 200 pieces per minute; inner bending, 220 pieces per minute; and outer bending, 190 pieces per minute. determine the hourly capacity of each process stage and the number of machines needed to meet an output rate of 25,000 units per hour. round your answers for the hourly capacity of each process stage to the nearest whole mumber. round your answers up for the number of machines needed to a whole number.\ncutting process:\nhourly capacity: pieces/hour\nnumber of machines needed: machine(s)\ninner bending:\nhourly capacity: pieces/hour\nnumber of machines needed: machine(s)\nouter bending:\nhourly capacity: pieces/hour\nnumber of machines needed: machine(s)

Answer

Explanation:

Step1: Calculate hourly capacity of cutting process

Since there are 60 minutes in an hour, and the cutting - process rate is 200 pieces per minute, the hourly capacity $C_{cut}$ is $C_{cut}=200\times60 = 12000$ pieces/hour. The number of cutting machines $n_{cut}$ needed to meet an output of 25000 units per hour is $n_{cut}=\frac{25000}{12000}\approx2.083$, and rounding up, $n_{cut} = 3$ machines.

Step2: Calculate hourly capacity of inner - bending process

The inner - bending process rate is 220 pieces per minute. So the hourly capacity $C_{inner}$ is $C_{inner}=220\times60=13200$ pieces/hour. The number of inner - bending machines $n_{inner}$ needed is $n_{inner}=\frac{25000}{13200}\approx1.894$, and rounding up, $n_{inner}=2$ machines.

Step3: Calculate hourly capacity of outer - bending process

The outer - bending process rate is 190 pieces per minute. So the hourly capacity $C_{outer}$ is $C_{outer}=190\times60 = 11400$ pieces/hour. The number of outer - bending machines $n_{outer}$ needed is $n_{outer}=\frac{25000}{11400}\approx2.193$, and rounding up, $n_{outer}=3$ machines.

Answer:

Cutting process: Hourly capacity: 12000 pieces/hour Number of machines needed: 3 machine(s) Inner bending: Hourly capacity: 13200 pieces/hour Number of machines needed: 2 machine(s) Outer bending: Hourly capacity: 11400 pieces/hour Number of machines needed: 3 machine(s)