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RUDIKE [14]
3 years ago
7

Bachmann Products, Inc., has found that new products follow a learning curve. The first two units have been completed with the f

ollowing results: Units Produced Marginal Labor Time 1 80.00 2 68.00 How much time will be needed to complete the 4th unit?
a. 74.00 hours.
b.57.80 hours.
c.56.00 hours.
d.54.40 hours
Business
1 answer:
DaniilM [7]3 years ago
8 0

Answer:

Time needed to complete the 4th unit = 57.80 hours

Explanation:

<u><em>The learning curve theory</em></u><em> states that as the cumulative output doubles the cumulative average time taken till date is reduced to a certain percentage of the previous time. This percentage is called learning rate</em>

Total time = Average time × cumulative number of units

The cumulative average time is determined using the formula below:

Y= aX^b

a - time taken for the first unit produced

b = log LR/Log 2

X- cumulative units till date

Y - cumulative average time taken for X units

LR- Learning rate

LR = 68/80 = 0.85 = 85%

<em>Time needed to complete the 4th unit</em>

= Learning rate × time take for the 2 unit

= 85% × 68

= 57.80 hours

Time needed to complete the 4th unit = 57.80 hours

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Answer:

11.611 +/- 3.013

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3     3.5     4       6        7          8        8.5        12.5       15

7      17      19      12       19       22       28         20         28

difference

4      13.5    15     6       12        14        19.5        7.5         13

mean = 11.611

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