Deck 25: Learning Curve Analysis
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Deck 25: Learning Curve Analysis
1
The first unit took 18 hours to produce and the learning rate is expected to be 80 percent.How long will it take to produce the eighth unit?
A)fewer than or equal to 7.0 hours
B)greater than 7.0 hours but fewer than or equal to 8.5
C)greater than 8.5 but fewer than or equal to 10.0
D)greater than 10.0
A)fewer than or equal to 7.0 hours
B)greater than 7.0 hours but fewer than or equal to 8.5
C)greater than 8.5 but fewer than or equal to 10.0
D)greater than 10.0
C
2
The first unit took 10 hours to produce and the learning rate is expected to be 90 percent.How long will it take to produce the sixteenth unit?
A)fewer than or equal to 6.0 hours
B)greater than 6.0 hours but fewer than or equal to 7.5
C)greater than 7.5 but fewer than or equal to 9.0
D)greater than 9.0
A)fewer than or equal to 6.0 hours
B)greater than 6.0 hours but fewer than or equal to 7.5
C)greater than 7.5 but fewer than or equal to 9.0
D)greater than 9.0
B
3
The simpler the product,the more pronounced the learning rate.
False
4
The first unit took 12 hours to produce and the learning rate is expected to be 85 percent.How long will it take to produce the eighth unit?
A)fewer than or equal to 7.0 hours
B)greater than 7.0 hours but fewer than or equal to 7.5
C)greater than 7.5 but fewer than or equal to 8.0
D)greater than 8.0
A)fewer than or equal to 7.0 hours
B)greater than 7.0 hours but fewer than or equal to 7.5
C)greater than 7.5 but fewer than or equal to 8.0
D)greater than 8.0
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5
Which one of the following statements is NOT a typical assumption related to developing learning curves?
A)The total direct labor hours needed to produce the first 100 units will be double the amount of hours needed to build the first 50 units.
B)The direct labor needed per unit will decrease at a declining rate as cumulative production increases.
C)The direct labor hours per unit will decrease according to an exponential curve as cumulative production increases.
D)The direct labor needed to produce the 50th unit will always be more than the direct labor needed to produce the 51st unit.
A)The total direct labor hours needed to produce the first 100 units will be double the amount of hours needed to build the first 50 units.
B)The direct labor needed per unit will decrease at a declining rate as cumulative production increases.
C)The direct labor hours per unit will decrease according to an exponential curve as cumulative production increases.
D)The direct labor needed to produce the 50th unit will always be more than the direct labor needed to produce the 51st unit.
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6
Which of the following statements about learning curves is generally TRUE?
A)Management can decide to achieve a certain rate of learning.
B)Learning curves were first quantified by the U.S.Postal Service.
C)Using the "doubling" model,a learning curve with a rate of learning of 70 percent means the tenth unit takes 70 percent of the time that the twentieth unit will take.
D)Learning curves are recognition of the concept that the time a task takes usually decreases with experience.
A)Management can decide to achieve a certain rate of learning.
B)Learning curves were first quantified by the U.S.Postal Service.
C)Using the "doubling" model,a learning curve with a rate of learning of 70 percent means the tenth unit takes 70 percent of the time that the twentieth unit will take.
D)Learning curves are recognition of the concept that the time a task takes usually decreases with experience.
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7
One assumption about learning curves is that the reduction in time will increase as output increases.
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8
The first learning curve was developed by the aircraft industry.
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9
Which one of the following statements about learning curves is FALSE?
A)The direct labor for the n+1st unit will always be less than the direct labor required for the nth unit.
B)The reduction in time will follow an exponential curve.
C)A benefit of learning curves is that they are unaffected by factors such as product complexity and the rate of capital additions.
D)The cumulative average number of direct labor hours per unit for a given product after the tenth unit with an 80 percent learning rate will be less than that for the same product with a 70 percent learning rate.
A)The direct labor for the n+1st unit will always be less than the direct labor required for the nth unit.
B)The reduction in time will follow an exponential curve.
C)A benefit of learning curves is that they are unaffected by factors such as product complexity and the rate of capital additions.
D)The cumulative average number of direct labor hours per unit for a given product after the tenth unit with an 80 percent learning rate will be less than that for the same product with a 70 percent learning rate.
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10
How long will it take to make 25 units if the first one took 8 hours and there is a 90 percent learning rate? Refer to the copy of Table I.1 appended to this exam.
A)fewer than or equal to 130 hours
B)greater than 130 hours but fewer than or equal to 140 hours
C)greater than 140 hours but fewer than or equal to 150 hours
D)greater than 150 hours
A)fewer than or equal to 130 hours
B)greater than 130 hours but fewer than or equal to 140 hours
C)greater than 140 hours but fewer than or equal to 150 hours
D)greater than 150 hours
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11
Learning curves provide their greatest advantage in the early stages of new service or product production.
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12
The learning effect can be represented by a line called a learning curve.
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13
The annual report for Luddite Corporation boasted of their ERP implementation and noted that,"while there were initially some growing pains,our learning rate for this system has been calculated at 100%." What are the implications of this statement?
A)Luddite Corporation is twice as fast processing transactions now.
B)Luddite Corporation is twice as slow processing transactions now.
C)Luddite Corporation processes transactions at the same rate now.
D)Luddite Corporation processes transactions instantaneously (takes zero time)now.
A)Luddite Corporation is twice as fast processing transactions now.
B)Luddite Corporation is twice as slow processing transactions now.
C)Luddite Corporation processes transactions at the same rate now.
D)Luddite Corporation processes transactions instantaneously (takes zero time)now.
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14
Under learning curve theory,with a learning rate of 70 percent,the:
A)time to produce the second unit will be 70 percent less than the time to produce the first unit.
B)time to produce the second unit will be 30 percent less than the time to produce the first unit.
C)cumulative average time per unit after producing the first 100 units will be 70 percent less than the average time per unit of the first 50 units.
D)average time per unit will be cut in half for every 70 units.
A)time to produce the second unit will be 70 percent less than the time to produce the first unit.
B)time to produce the second unit will be 30 percent less than the time to produce the first unit.
C)cumulative average time per unit after producing the first 100 units will be 70 percent less than the average time per unit of the first 50 units.
D)average time per unit will be cut in half for every 70 units.
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15
An 80% learning rate means that the time falls by 20% at each doubling of output.
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16
The fifth unit took 10 hours to produce and the learning rate is expected to be 85 percent.How long will it take to produce the tenth unit?
A)fewer than or equal to 8.0 hours
B)greater than 8.0 hours but fewer than or equal to 8.5
C)greater than 8.5 hours but fewer than or equal to 9.0
D)greater than 9.0
A)fewer than or equal to 8.0 hours
B)greater than 8.0 hours but fewer than or equal to 8.5
C)greater than 8.5 hours but fewer than or equal to 9.0
D)greater than 9.0
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17
A task that obeys learning effects will,in general,have a positive result to the equation tn+1tn,where tn is the completion time of the nth unit.
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18
Which one of the following statements is TRUE about the relationship between learning curves and competitive strategy?
A)Knowing where your process is on the learning curve will enable you to make frequent product modifications.
B)Firms that emphasize low cost in their competitive strategy strive to move down the learning curve by increasing volume.
C)Learning curves enable managers to project fixed manufacturing costs for future production quantities.
D)Projecting the impact of learning curves into the future is one effective way of reducing the impact of environmental uncertainty.
A)Knowing where your process is on the learning curve will enable you to make frequent product modifications.
B)Firms that emphasize low cost in their competitive strategy strive to move down the learning curve by increasing volume.
C)Learning curves enable managers to project fixed manufacturing costs for future production quantities.
D)Projecting the impact of learning curves into the future is one effective way of reducing the impact of environmental uncertainty.
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19
One assumption about learning curves is that the reduction in time obeys a normal distribution.
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20
Which one of the following is an assumption of learning curves?
A)The cumulative time of production decreases as production increases.
B)Time reduction per unit increases as cumulative production increases.
C)The same learning curve should be used when a company increases its level of automation.
D)The reduction in time per unit follows an exponential curve.
A)The cumulative time of production decreases as production increases.
B)Time reduction per unit increases as cumulative production increases.
C)The same learning curve should be used when a company increases its level of automation.
D)The reduction in time per unit follows an exponential curve.
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21
How long will it take to make 25 units if the third one took 6.5 hours and there is a 90 percent learning rate? Refer to the copy of Table I.1 appended to this exam.
A)fewer than or equal to 130 hours
B)greater than 130 hours but fewer than or equal to 140 hours
C)greater than 140 hours but fewer than or equal to 150 hours
D)greater than 150 hours
A)fewer than or equal to 130 hours
B)greater than 130 hours but fewer than or equal to 140 hours
C)greater than 140 hours but fewer than or equal to 150 hours
D)greater than 150 hours
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22
Given that the third unit took 100 minutes and the rate of learning is 80 percent,how much time will it take to build unit 96?
A)fewer than or equal to 30 minutes
B)greater than 30 minutes but fewer than or equal to 35 minutes
C)greater than 35 minutes but fewer than or equal to 40 minutes
D)greater than 40 minutes
A)fewer than or equal to 30 minutes
B)greater than 30 minutes but fewer than or equal to 35 minutes
C)greater than 35 minutes but fewer than or equal to 40 minutes
D)greater than 40 minutes
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23
Which statement regarding the effect of automating some of the direct labor in a process is best?
A)The overall learning rate should be unaffected.
B)The overall learning rate will probably decrease.
C)The overall learning rate will probably increase.
D)The learning rate for the automated portion of the process should be higher than the learning rate for the portion that is not automated.
A)The overall learning rate should be unaffected.
B)The overall learning rate will probably decrease.
C)The overall learning rate will probably increase.
D)The learning rate for the automated portion of the process should be higher than the learning rate for the portion that is not automated.
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24
How long will it take to make units 11 through 20 if the first one took 8 hours and there is a 90 percent learning rate? Refer to the copy of Table I.1 appended to this exam.
A)fewer than or equal to 50 hours
B)greater than 50 hours but fewer than or equal to 55 hours
C)greater than 55 hours but fewer than or equal to 60 hours
D)greater than 60 hours
A)fewer than or equal to 50 hours
B)greater than 50 hours but fewer than or equal to 55 hours
C)greater than 55 hours but fewer than or equal to 60 hours
D)greater than 60 hours
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25
In Troix City,the learning rate is based on a tripling of output instead of the traditional doubling.The first unit of a long production run was produced in 20 hours.In Deux City across the river,the learning rate is based on the usual doubling of output.The first unit of the production run in Deux City took 30 hours.At what level of output will the workers in Deux City become faster than those in Troix City if both locations enjoy an 80% learning rate?
A)27 units
B)31 units
C)35 units
D)39 units
A)27 units
B)31 units
C)35 units
D)39 units
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26
In Troix City,the learning rate is based on a tripling of output instead of the traditional doubling.The first unit of a long production run was produced in 25 hours.The process has an estimated learning rate of 90 percent.How long will the 15th unit take to produce?
A)18.67 hours
B)19.28 hours
C)20.74 hours
D)17.23 hours
A)18.67 hours
B)19.28 hours
C)20.74 hours
D)17.23 hours
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27
The seventh unit of a long production run was produced in 3 hours.The process has an estimated learning rate of 90 percent.At what level of output will the cumulative production time exceed 40 hours?
A)fewer than or equal to 8 units
B)greater than 8 units but fewer than or equal to 10 units
C)greater than 10 units but fewer than or equal to 12 units
D)greater than 12 units
A)fewer than or equal to 8 units
B)greater than 8 units but fewer than or equal to 10 units
C)greater than 10 units but fewer than or equal to 12 units
D)greater than 12 units
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28
Case I.1
The production schedule for a new product follows.
The first unit took 100 hours to complete,and the rate of learning is 80 percent.Each employee works 40 hours per month.Refer to the copy of Table I.1 appended to this exam.
Using the information in Case I.1,how much time will it take to produce the units in month 1?
A)fewer than 800 hours
B)greater than or equal to 800 hours but fewer than 1,100 hours
C)greater than or equal to 1100 hours but fewer than 1,500 hours
D)greater than 1,500 hours
The production schedule for a new product follows.

Using the information in Case I.1,how much time will it take to produce the units in month 1?
A)fewer than 800 hours
B)greater than or equal to 800 hours but fewer than 1,100 hours
C)greater than or equal to 1100 hours but fewer than 1,500 hours
D)greater than 1,500 hours
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29
Case I.1
The production schedule for a new product follows.
The first unit took 100 hours to complete,and the rate of learning is 80 percent.Each employee works 40 hours per month.Refer to the copy of Table I.1 appended to this exam.
Using the information in Case I.1,what is the minimum number of employees needed in month 3?
A)fewer than 20 employees
B)greater than or equal to 20 employees but fewer than 30 employees
C)greater than or equal to 30 employees but fewer than 40 employees
D)greater than 40 employees
The production schedule for a new product follows.

Using the information in Case I.1,what is the minimum number of employees needed in month 3?
A)fewer than 20 employees
B)greater than or equal to 20 employees but fewer than 30 employees
C)greater than or equal to 30 employees but fewer than 40 employees
D)greater than 40 employees
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30
As the cumulative number of units produced becomes large,the:
A)learning effect is more noticeable.
B)learning effect increases.
C)learning effect is less noticeable.
D)learning effect decreases.
A)learning effect is more noticeable.
B)learning effect increases.
C)learning effect is less noticeable.
D)learning effect decreases.
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31
Suppose the average time for the first 1,000 units you have manufactured is 2.375 minutes.Your rate of learning is 90 percent,and you need to find the total time required to manufacture the next 1,000 units.Refer to the copy of Table I.1 appended to this exam.The total time is:
A)not more than 2,000 minutes.
B)greater than 2,000 minutes but not more than 2,700 minutes.
C)greater than 2,700 minutes but not more than 3,300 minutes.
D)greater than 3,300 minutes.
A)not more than 2,000 minutes.
B)greater than 2,000 minutes but not more than 2,700 minutes.
C)greater than 2,700 minutes but not more than 3,300 minutes.
D)greater than 3,300 minutes.
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32
It took 100 hours to produce the first unit and the learning rate is 80 percent.How much time will it take to produce units 16 through 20? Refer to the copy of Table I.1 appended to this exam.
A)fewer than or equal to 160 hours
B)greater than 160 but fewer than or equal to 170 hours
C)greater than 170 but fewer than or equal to 180 hours
D)greater than 180 hours
A)fewer than or equal to 160 hours
B)greater than 160 but fewer than or equal to 170 hours
C)greater than 170 but fewer than or equal to 180 hours
D)greater than 180 hours
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33
The fifth unit of a long production run was produced in 15 hours.The process has an estimated learning rate of 90 percent.What is the lowest level of output at which the cumulative average production time per unit falls below 15 hours?
A)fewer than or equal to 8 units
B)greater than 8 units but fewer than or equal to 11 units
C)greater than 11 units but fewer than or equal to 14 units
D)greater than 14 units
A)fewer than or equal to 8 units
B)greater than 8 units but fewer than or equal to 11 units
C)greater than 11 units but fewer than or equal to 14 units
D)greater than 14 units
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34
The fourth unit took 10 hours to produce and the learning rate is expected to be 80 percent.How long will it take to produce the tenth unit? [Note: a calculator is required to answer this question.]
A)fewer than or equal to 7.0 hours
B)greater than 7.0 hours but fewer than or equal to 8.0
C)greater than 8.0 hours but fewer than or equal to 9.0
D)greater than 9.0
A)fewer than or equal to 7.0 hours
B)greater than 7.0 hours but fewer than or equal to 8.0
C)greater than 8.0 hours but fewer than or equal to 9.0
D)greater than 9.0
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35
A company is introducing a new product.The first unit took 1,000 hours to complete,and the fourth unit took 750 hours to complete.What is the rate of learning for this product?
A)less than 40 percent
B)greater than or equal to 40 percent but less than 60 percent
C)greater than or equal to 60 percent but less than 80 percent
D)greater than 80 percent
A)less than 40 percent
B)greater than or equal to 40 percent but less than 60 percent
C)greater than or equal to 60 percent but less than 80 percent
D)greater than 80 percent
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36
Given that the fifth unit took 10 hours to build and the learning rate is 90 percent,how much time will it take to build units 11 through 15? Refer to the copy of Table I.1 appended to this exam.
A)fewer than or equal to 38 hours
B)greater than 38 hours but fewer than or equal to 40 hours
C)greater than 40 hours but fewer than or equal to 42 hours
D)greater than 42 hours
A)fewer than or equal to 38 hours
B)greater than 38 hours but fewer than or equal to 40 hours
C)greater than 40 hours but fewer than or equal to 42 hours
D)greater than 42 hours
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37
In Troix City,the learning rate is based on a tripling of output instead of the traditional doubling.The first unit of a long production run was produced in 25 hours.The process has an estimated learning rate of 90 percent.At what level of output will the cumulative production time exceed 200 hours?
A)8 units
B)9 units
C)10 units
D)11 units
A)8 units
B)9 units
C)10 units
D)11 units
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38
In Troix City,the learning rate is based on a tripling of output instead of the traditional doubling.The first unit of a long production run was produced in 25 hours.The process has an estimated learning rate of 80 percent.How long will the 9th unit take to produce?
A)22 hours
B)20 hours
C)18 hours
D)16 hours
A)22 hours
B)20 hours
C)18 hours
D)16 hours
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39
The production for a new product follows:
The first unit will take 2,000 hours to produce and the learning rate is 90 percent.Currently,the company employs 40 workers,who each work 200 hours regular time per month.In which months will overtime be needed for the production schedule shown? Refer to the copy of Table I.1 appended to this exam.
A)month 4 only
B)months 3 and 4 only
C)months 1 and 2 only
D)month 1 only

A)month 4 only
B)months 3 and 4 only
C)months 1 and 2 only
D)month 1 only
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40
It took 100 hours to produce the first unit and 95 hours to produce the second unit.How many hours are required to produce the eighth unit? [Note: a calculator is required to answer this question.]
A)fewer than or equal to 60 hours
B)greater than 60 hours but fewer than or equal to 75 hours
C)greater than 75 hours but fewer than or equal to 90 hours
D)greater than 90 hours
A)fewer than or equal to 60 hours
B)greater than 60 hours but fewer than or equal to 75 hours
C)greater than 75 hours but fewer than or equal to 90 hours
D)greater than 90 hours
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41
When the learning curve has a pronounced curve,the production phase could be characterized as the ________.
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42
A contractor is preparing a bid to install swimming pools at a new housing addition.The estimated time to build the first pool is 35 hours.The contractor estimates a 90 percent learning rate;what is the estimated time to install all 30 pools? Refer to the copy of Table I.1 appended to this exam.
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43
For a company that produces hand held calculators,the Operations Manager knows that in the early stages of production for a new product,the expenditures exceed receipts,whereas in the latter stages,the reverse is true.Give an explanation for this phenomenon.
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44
Why is the learning rate more pronounced for complex products than for simple products?
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45
A business that relies on learning effects to achieve their strategic objectives is most likely in a ________ volume ________ variety production sector.
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46
Tim usually exhibits an 80% learning rate for the mechanical tasks he undertakes.His next big project,the fence along the street,will require 35 iterations of the fencepost task.If he has 80 hours available to work on the project,how fast must he perform the first iteration in order to finish all 35 within his allotted time? Refer to the copy of Table I.1 appended to this exam.
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47
Once the learning curve has flattened,i.e. ,reached a mostly horizontal shape,the per-unit time could be described as ________.
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48
The estimated time to produce the first unit is 100 hours.If a 90 percent learning rate is applicable,what is the estimated time of producing the first ten units? Refer to the copy of Table I.1 appended to this exam.
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49
When production time standards are being developed for a brand new process for several of the hand assembly components of the production line,what are the implications of learning effects on the time standards and the line balance? What could be done to address this situation?
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50
What are some managerial considerations when using learning curves?
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51
How are learning curves useful in financial planning?
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52
What are the three major assumptions of the learning curve?
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53
Two contract labor companies are competing for work being outsourced by Febrero SpA.One contractor,Terza,has a learning rate governed by a tripling of output at a 90% rate and the other contractor,Segundo,has a learning rate governed by the conventional doubling of output at a 90% rate.Both Terza and Segundo take 20 minutes to complete the first unit they are given for bid estimation purposes.How many more units must Terza make than Segundo before their time per unit drops below 15 minutes? [Note: a calculator is required to answer this question.]
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54
The learning rate depends on factors such as ________ and ________.
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55
The mathematical model that is used to generate a learning curve is ________.
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56
Tim usually exhibits a 90% learning rate for the mechanical tasks he undertakes.His next big project,the fence along the street,will require 24 iterations of the fencepost task.If he has 40 hours available to work on the project,how fast must he perform the first iteration in order to finish all 24 within his allotted time? Refer to the copy of Table I.1 appended to this exam.
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