Respuesta :
Answer: 140 minutes
Explanation:
From the question, we are informed that to complete the first setup on a new machine took an employee 280 minutes. Using an 75% cumulative average−time learning curve indicates that the second setup on the new machine is expected to take:
We first multiply the 75% cumulative average−time by the 280 minutes used. This will be:
= 280 × 75%
= 280 × 0.75
= 210
(280 + y)/2 = 210
280 + y = 210 × 2
280 + y = 420
y = 420 - 280
y = 140 minutes
A pattern in which the aggregate time per unit is lessened by a consistent rate each time the combined volume of parts produced is multiplied is called the cumulative average−time learning curve model.
The second setup on the new machine is expected to take 140 minutes.
This can be estimated by:
- Time required by the employee for setting the first step = 280 minutes
- According to the 75% cumulative average−time learning curve:
[tex]=280 \times 75\%[/tex]
[tex]= 280 \times 0.75[/tex]
= 210
Let y = time required for the second setup then,
[tex]\dfrac{(280 + \text{y})}{2} = 210[/tex]
[tex]280 + \text{y} = 210 \times 2[/tex]
[tex]280 + \text{y} = 420[/tex]
[tex]\text{y} = 420 - 280[/tex]
[tex]\text{y} = 140\; \text{minutes}[/tex]
Therefore it will take 140 minutes for the second setup.
To learn more about the cumulative average−time learning curve follow the link:
https://brainly.com/question/14301678
