The Fort Worth Weapons Company was asked to bid on the barrel assembly for the 3
ID: 448154 • Letter: T
Question
The Fort Worth Weapons Company was asked to bid on the barrel assembly for the 30 mm recoilless rifle. The company estimates that it will take 10 hours to complete the 25th unit, and, based on historical data on similar barrel assemblies, an 85-percent learning curve is expected. a. What is the expected average time for the first two units? b. What is the approximate estimated time for the 100th unit? c. Repeat parts a and b above with a learning rate of 76 percent and 90 percent and compare the results. What can be concluded from this exercise?
Explanation / Answer
Tn=(T1) *n^(ln0.85/ln2)
where Tn=time for nth unit
given T25=10 hence t1= 10/(10^(ln0.85/ln2)=10/0.5828=17.16 hours
a) Time for 1st 2 units =T1+ T2= 17.16 +17.16*2^(ln0.85/ln2)=17.16+14.58=31.74 hours
b)T100= 17.16*100^(LN0.85/LN2)=5.83 HOURS
c) FOR LEARNING CURVE 76%
LN(0.76)/LN2= -0.3959
GIVEN T25=10 HENCE T1=10/10^(-0.3959)=24.88 HRS
T2=24.88*2^(-0.3959)=18.91 HENCE T1+T2=24.88+18.91=43.79 HOURS
T100=24.88*100^(-0.3959)=4.01 HRS
FOR LEARNING CURVE 90%
LN(0.9)/LN2= -0.152
HENCE T1=10/10^(-0.152)=14.19 HOURS
T2=14.19* 2^(-0.152)=12.77 HRS HENCE T1+T2=14.19+12.77=26.96 HRS
T100=14.19* 100^(-0.152)=7.05 HRS
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