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Bryan Inc. produces a specialty top-quality juice machine, the JM50, which requires four processes to be completed: exterior construction, pulp filter insertion, painting, and packaging. Each process is performed at separate workstations with different completion rates:

- Exterior construction can manufacture 100,000 juicer exteriors per day.
- Pulp filter insertion can install 25,000 filters every 6 hours.
- Painting can decorate 3,000 juicers every half hour.
- Packaging can package 5,000 juicers per hour.

The plant operates 24/7, 24 hours a day every day of the week. How many JM50 machines can Bryan Inc. manufacture per month (assume an average 30-day month)?

Answer :

Answer:

3,000,000 juicers

Explanation:

Maximum numbers per workstation in 30 days:

Exterior construction = 100,000*30 = 3,000,000

Pulp filter = 25,000*24/6*30 = 3,000,000

Painting = 3,000*24/0.5*30 = 4,320,000

Packaging = 5,000*24*30 = 3,600,000.

The lowest of the numbers above is 3,120,000 and that means that Bryan inc. can manufacture 3,000,000 juicers.

Final answer:

Bryan Inc. can manufacture a maximum of 4,320,000 JM50 machines per month by considering the completion rates of each process and the working hours of the plant.

Explanation:

Bryan Inc. can manufacture a certain number of JM50 machines per month by considering the completion rates of each process and the working hours of the plant. Let's calculate the number of machines:

  1. Exterior construction: The rate is 100,000 juicer exteriors per day, so for a month with 30 days, the total exteriors produced would be 100,000 × 30 = 3,000,000 exteriors.
  2. Pulp filter insertion: The rate is 25,000 filters every 6 hours, which means 25,000 × 4 = 100,000 filters per day. So for a month with 30 days, the total filters inserted would be 100,000 × 30 = 3,000,000 filters.
  3. Painting: The rate is 3,000 juicers every half hour, which means 3,000 × 2 = 6,000 juicers per hour. So for a month with 30 days, the total juicers painted would be 6,000 × 24 × 30 = 4,320,000 juicers.
  4. Packaging: The rate is 5,000 juicers per hour. So for a month with 30 days, the total juicers packaged would be 5,000 × 24 × 30 = 3,600,000 juicers.

To find the maximum number of machines, we can identify the bottleneck process. In this case, it is the painting process, which can paint 4,320,000 juicers per month. Therefore, Bryan Inc. can manufacture a maximum of 4,320,000 JM50 machines per month.

Learn more about JM50 machine manufacturing here:

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