Question

Purple Swift manufactures birdhouses in lots of 10. Each birdhouse takes 30 minutes to paint. After 10 birdhouses are​ painted, the company switches paint color which requires a one hour changeover. Assume that the company should changeover at the very beginning of the process. The company works 8 hours per​ shift, one shift per​ day, 225 days per year. Currently the company has one point booth. What is Purple​ Swift's paint capacity cushion if it builds 2 comma 000 birdhouses per​ year?

Answer 1

To calculate Purple Swift's paint capacity cushion, we need to determine the total time required to paint 2,000 birdhouses and compare it with the available working time. The paint capacity cushion is 46,000 minutes.

Step-by-step explanation:

To calculate Purple Swift's paint capacity cushion, we need to determine the total time required to paint 2,000 birdhouses and compare it with the available working time. Each batch of 10 birdhouses takes 30 minutes to paint, and after every 10 birdhouses, there is a 1-hour changeover. The total time required to paint 2,000 birdhouses can be calculated as follows:

1. Number of batches: 2,000 birdhouses / 10 birdhouses per batch = 200 batches
2. Time to paint a batch of 10 birdhouses: 30 minutes per birdhouse ×10 birdhouses = 300 minutes
3. Time for changeovers: 1 hour ×200 batches = 200 hours

Therefore, the total time required is 300 minutes per batch ×200 batches + 200 hours for changeovers = 60,000 minutes + 200 hours = 62,000 minutes. As there are 225 working days per year and 8 hours per shift, the total working time in minutes per year is 225 days ×8 hours per day ×60 minutes per hour = 108,000 minutes.

The paint capacity cushion can be calculated as:

Paint capacity cushion = Total working time - Time required to paint 2,000 birdhouses = 108,000 minutes - 62,000 minutes = 46,000 minutes.

Answer 2

The capacity cushion is 33.33%

Step-by-step explanation:

10 birdhours x 30 minutes: 300 minutes

60 minutes for color switch a total for 360 minutes every 10 birdhouses.

225 days per year x 8 hours per shift x 60 minutes = 108,000 minutes

108,000 minutes / 360 minutes = 300 lots of 10 bird per year

total birdhouse capacity per year: 3,000

capacity - used capacity = space capacity

3,000 - 2,000 = 1,000 spare capacity

capacity cushion: spare/total capacity: 1,000 / 3,000 = 33.33%