Question

There are 20 forging presses in the forge shop of a small company. The shop produces batches of forgings requiring a setup time of 3.0 hours for each production batch. Average standard time for each part in a batch is 45 seconds, and there are an average of 600 parts in a batch. The plant workforce consists of two workers per press, two foremen, plus three clerical support staff. (a) Determine how many forged parts can be produced in 1 month, if there are 8 hours worked per day and an average of 21 days per month at one shift per day. (b) What is the labor productivity ratio of the forge shop, expressed as parts per worker-hour?

Answer 1

In 1 month, the forge shop can produce 28,800 forged parts, based on the available production time and the time required to produce each batch. The labor productivity ratio of the forge shop is 4.29 parts per worker-hour.

Step-by-step explanation:

To determine how many forged parts can be produced in 1 month, we need to calculate the total number of working hours in a month. There are 8 hours per day and an average of 21 days per month, so the total working hours per month would be 8 * 21 = 168 hours. Now, we calculate the total setup time required for each production batch. There are 20 forging presses, each requiring 3.0 hours of setup time, so the total setup time would be 20 * 3.0 = 60 hours. Subtracting the setup time from the total working hours, we get 168 - 60 = 108 hours available for production.
Next, we calculate the average time required to produce a single part. The average standard time for each part is 45 seconds, and there are an average of 600 parts in a batch. So the total time required to produce a batch of forgings would be 45 seconds * 600 = 27,000 seconds.
To determine the number of forged parts that can be produced in 1 month, we divide the available production time (108 hours) by the time required to produce a batch (27,000 seconds) and then multiply by the number of batches per month (number of working hours divided by setup time). So the total number of forged parts that can be produced in 1 month would be (108 hours / (27,000 seconds * 1 hour/3,600 seconds)) * (168 hours/3 hours per batch) = 28,800 parts.

To calculate the labor productivity ratio of the forge shop, we divide the number of forged parts produced in 1 month (28,800) by the total labor hours worked in 1 month (20 forging presses * 2 workers per press * 8 hours per day * 21 days per month = 6,720 hours). So the labor productivity ratio would be 28,800 parts / 6,720 hours = 4.29 parts per worker-hour.

Answer 2

Considering the guidelines of this exercise.

The pieces produced per month are 504 000

The productivity ratio is 75%

Step-by-step explanation:

To understand this answer we need to analyze the problem. First of all, we can only produce 2 batches of production by the press because we require 3 hours to set it up. So if we rest those 6 hours from the 8 of the shift we get 6, leaving 2 for an incomplete bath. So multiplying 2 batches per day of production by press we obtain 40 batches per day. So, considering we work in this factory for 21 days per month well that makes 40 x 21 making 840 then we multiply the batches for the pieces 840 x 600 obtaining 504000 pieces produced per month. To obtain the productivity ratio we need to divide the standard labor hours meaning 6 by the amount of time worked meaning 8. Obtaining 75% efficiency.