Question 1

Conversion Factors for the Cumulative Average Number of Direct Labor Hours per Unit
\(\begin{array}{c}
\begin{array}{c}
80 \% \text { Learning Rate }\
\text { ( } n=\text { cumulative production) }\
\begin{array}{rrrrrr}
\hline n & & n & & {n} & \
\hline 1 & 1.00000 & 19 & 0.53718 & 37 & 0.43976 \
2 & 0.90000 & 20 & 0.52425 & 38 & 0.43634 \
3 & 0.83403 & 21 & 0.51715 & 39 & 0.43304 \
4 & 0.78553 & 22 & 0.51045 & 40 & 0.42984 \
5 & 0.74755 & 23 & 0.50410 & 64 & 0.37382 \
6 & 0.71657 & 24 & 0.49808 & 128 & 0.30269 \
7 & 0.69056 & 25 & 0.49234 & 256 & 0.24405 \
8 & 0.66824 & 26 & 0.48688 & 512 & 0.19622 \
9 & 0.64876 & 27 & 0.48167 & 600 & 0.18661 \
10 & 0.63154 & 28 & 0.47668 & 700 & 0.17771 \
11 & 0.61613 & 29 & 0.47191 & 800 & 0.17034 \
12 & 0.60224 & 30 & 0.46733 & 900 & 0.16408 \
13 & 0.58960 & 31 & 0.46293 & 1,000 & 0.15867 \
14 & 0.57802 & 32 & 0.45871 & 1,200 & 0.14972 \
15 & 0.56737 & 33 & 0.46464 & 1,400 & 0.14254 \
16 & 0.55751 & 34 & 0.45072 & 1,600 & 0.13660 \
17 & 0.54834 & 35 & 0.44694 & 1,800 & 0.13155\
18& 0.53979 & 36 & 0.44329 & 2,000 & 0.12720
\end{array}
\end{array}
\begin{array}{cl}
90 \% \text { Learning Rate }\
\text { ( } n=\text { cumulative production) }\
\begin{array}{rrrrrr}
\hline n &&{n} & &n & \
\hline 1 & 1.00000 & 19 & 0.73545 & 37 & 0.67091 \
2 & 0.95000 & 20 & 0.73039 & 38 & 0.66839 \
3 & 0.91540 & 21 & 0.72559 & 39 & 0.66595 \
4 & 0.88905 & 22 & 0.72102 & 40 & 0.66357 \
5 & 0.86784 & 23 & 0.71666 & 64 & 0.62043 \
6 & 0.85013 & 24 & 0.71251 & 128 & 0.56069 \
7 & 0.83496 & 25 & 0.70853 & 256 & 0.50586 \
8 & 0.82172 & 26 & 0.70472 & 512 & 0.45594 \
9 & 0.80998 & 27 & 0.70106 & 600 & 0.44519 \
10 & 0.79945 & 28 & 0.69754 & 700 & 0.43496 \
11 & 0.78991 & 29 & 0.69416 & 800 & 0.42629 \
12 & 0.78120 & 30 & 0.69090 & 900 & 0.41878 \
13 & 0.77320 & 31 & 0.68775 & 1,000 & 0.41217 \
14 & 0.76580 & 32 & 0.67471 & 1,200 & 0.40097 \
15 & 0.75891 & 33 & 0.68177 & 1,400 & 0.39173 \
16 & 0.75249 & 34 & 0.67893 & 1,600 & 0.38390 \
17 & 0.74646 & 35 & 0.67617 & 1,800 & 0.37711 \
18 & 0.74080 & 36 & 0.67350 & 2,000 & 0.37114
\end{array}
\end{array}
\end{array}\)

-The production for a new product follows:
$$\begin{array} { | c | c | } 
\hline \text { Month } & \text { Units } \
\hline 1 & 4 \
2 & 5 \
3 & 6 \
4 & 7 \
\hline
\end{array}$$
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 G.1 above.

Accepted Answer

A)  Month 4 only 
B)  Months 3 and 4 only 
C)  Months 1 and 2 only 
D)  Month 1 only

Question 2

The production schedule for a new product follows
 $$\begin{array} { | c | c | } 
\hline \text { Month } & \text { No Units } \
\hline 1 & 15 \
2 & 20 \
3 & 40 \
4 & 35 \
\hline
\end{array}$$ 
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 G.1 below.
 Conversion Factors for the Cumulative Average Number of Direct Labor Hours per Unit
\(\begin{array}{c}
\begin{array}{c}
80 \% \text { Learning Rate }\
\text { ( } n=\text { cumulative production) }\
\begin{array}{rrrrrr}
\hline n & & n & & {n} & \
\hline 1 & 1.00000 & 19 & 0.53718 & 37 & 0.43976 \
2 & 0.90000 & 20 & 0.52425 & 38 & 0.43634 \
3 & 0.83403 & 21 & 0.51715 & 39 & 0.43304 \
4 & 0.78553 & 22 & 0.51045 & 40 & 0.42984 \
5 & 0.74755 & 23 & 0.50410 & 64 & 0.37382 \
6 & 0.71657 & 24 & 0.49808 & 128 & 0.30269 \
7 & 0.69056 & 25 & 0.49234 & 256 & 0.24405 \
8 & 0.66824 & 26 & 0.48688 & 512 & 0.19622 \
9 & 0.64876 & 27 & 0.48167 & 600 & 0.18661 \
10 & 0.63154 & 28 & 0.47668 & 700 & 0.17771 \
11 & 0.61613 & 29 & 0.47191 & 800 & 0.17034 \
12 & 0.60224 & 30 & 0.46733 & 900 & 0.16408 \
13 & 0.58960 & 31 & 0.46293 & 1,000 & 0.15867 \
14 & 0.57802 & 32 & 0.45871 & 1,200 & 0.14972 \
15 & 0.56737 & 33 & 0.46464 & 1,400 & 0.14254 \
16 & 0.55751 & 34 & 0.45072 & 1,600 & 0.13660 \
17 & 0.54834 & 35 & 0.44694 & 1,800 & 0.13155\
18& 0.53979 & 36 & 0.44329 & 2,000 & 0.12720
\end{array}
\end{array}
\begin{array}{cl}
90 \% \text { Learning Rate }\
\text { ( } n=\text { cumulative production) }\
\begin{array}{rrrrrr}
\hline n &&{n} & &n & \
\hline 1 & 1.00000 & 19 & 0.73545 & 37 & 0.67091 \
2 & 0.95000 & 20 & 0.73039 & 38 & 0.66839 \
3 & 0.91540 & 21 & 0.72559 & 39 & 0.66595 \
4 & 0.88905 & 22 & 0.72102 & 40 & 0.66357 \
5 & 0.86784 & 23 & 0.71666 & 64 & 0.62043 \
6 & 0.85013 & 24 & 0.71251 & 128 & 0.56069 \
7 & 0.83496 & 25 & 0.70853 & 256 & 0.50586 \
8 & 0.82172 & 26 & 0.70472 & 512 & 0.45594 \
9 & 0.80998 & 27 & 0.70106 & 600 & 0.44519 \
10 & 0.79945 & 28 & 0.69754 & 700 & 0.43496 \
11 & 0.78991 & 29 & 0.69416 & 800 & 0.42629 \
12 & 0.78120 & 30 & 0.69090 & 900 & 0.41878 \
13 & 0.77320 & 31 & 0.68775 & 1,000 & 0.41217 \
14 & 0.76580 & 32 & 0.67471 & 1,200 & 0.40097 \
15 & 0.75891 & 33 & 0.68177 & 1,400 & 0.39173 \
16 & 0.75249 & 34 & 0.67893 & 1,600 & 0.38390 \
17 & 0.74646 & 35 & 0.67617 & 1,800 & 0.37711 \
18 & 0.74080 & 36 & 0.67350 & 2,000 & 0.37114
\end{array}
\end{array}
\end{array}\)

-Using the information in Case G.1,how much time will it take to produce the units in month 1?

Accepted Answer

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

Question 3

Why is the learning rate more pronounced for complex products than for simple products?

Accepted Answer

The answer of Why is the learning rate more pronounced...

Question 4

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?

Accepted Answer

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

Exam 16: Learning Curve Analysis

Why is the learning rate more pronounced for complex products than for simple products?

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?