In: Statistics and Probability
The Porsche Shop, founded in 1985 by Dale Jensen, specializes in
the restoration of vintage Porsche...
The Porsche Shop, founded in 1985 by Dale Jensen, specializes in
the restoration of vintage Porsche automobiles. One of Jensen's
regular customers asked him to prepare an estimate for the
restoration of a 1964 model 356SC Porsche. To estimate the time and
cost to perform such a restoration, Jensen broke the restoration
process into four separate activities: disassembly and initial
preparation work (A), body restoration (B), engine restoration (C),
and final assembly (D). Once activity A has been completed,
activities B and C can be performed independently of each other;
however, activity D can be started only if both activities B and C
have been completed. Based on his inspection of the car, Jensen
believes that the following time estimates (in days) are
applicable:
|
|
|
|
|
|
|
Activity |
|
Optimistic |
|
Most Probable |
|
Pessimistic |
|
A |
|
2 |
|
5 |
|
11 |
B |
|
2 |
|
4 |
|
6 |
C |
|
5 |
|
8 |
|
11 |
D |
|
4 |
|
5 |
|
12 |
Jensen estimates that the parts needed to restore the body will
cost $2000 and that the parts needed to restore the engine will
cost $6000. His current labor costs are $500 a day.
- Which project network is correct?
- What is the expected project completion time?
Critical Path:
If required, round your answer to one decimal place.
Expected time = days
- Jensen's business philosophy is based on making decisions using
a best- and worst-case scenario. Develop cost estimates for
completing the restoration based on both a best- and worst-case
analysis. Assume that the total restoration cost is the sum of the
labor cost plus the material cost.
If required, round non-monetary answers to the nearest whole
number. If required, round monetary answers to the nearest
dollar.
Best Case (Optimistic Times) = days
Total Cost = $
Worst Case (Pessimistic Times) = days
Total Cost = $
- If Jensen obtains the job with a bid that is based on the costs
associated with an expected completion time, what is the
probability that he will lose money on the job? If required, round
your answer to the nearest dollar.
Bid Cost = $
If required, round your answer to two decimal places.
The probability is
- If Jensen obtains the job based on a bid of $19,500, what is
the probability that he will lose money on the job?
Note: Use Appendix B to identify the areas for the
standard normal distribution. If required, round your answer to
four decimal places.
The probability of a loss is