1. In Excel, use a suitable method for generating the number of days needed to repair the copier, when it is out of service, according to the discrete distribution shown.
2. In Excel, use a suitable method for simulating the interval between successive breakdowns, according to the continuous distribution shown.
3. In Excel, use a suitable method for simulating the lost revenue for each day the copier is out of service.
4. Put all of this together to simulate the lost revenue due to copier breakdowns over 1 year to answer the question asked in the case study.
5. In a word processing program, write a brief description/explanation of how you implemented each component of the model. Write 1-2 paragraphs for each component of the model (days-to-repair; interval between breakdowns; lost revenue; putting it together).
6. Answer the question posed in the case study. How confident are you that this answer is a good one? What are the limits of the study? Write at least one paragraph.
Answers
1.
# of days P(x) Cumulative
1 0.2 0
2 0.45 0.2
3 0.25 0.65
4 0.1 0.9
Q: 2-4.
Break Random times b/w Random Repair Random Lost cumulative down # 1 Break (weeks) # 2 Time #3 Revenue time
1 0.78468 5.314929 0.88991 3 2237 $6,711 5.314929
2 0.512227 4.294201 0.831365 2 3244 $6,488 9.60913
3 0.389251 3.743399 0.912647 2 5874 $11,748 13.35253
4 0.998082 5.994243 0.216353 1 3330 $3,330 19.34677
5 0.963834 5.890502 0.415313 4 5487 $21,948 25.23727
6 0.130715 2.169274 0.201205 1 7810 $7,810 27.40655
7 0.499181 4.239164 0.36532 2 3030 $6,060 31.64571
8 0.461862 4.077625 0.268624 2 3987 $7,974 35.72334
9 0.424543 3.909416 0.802426 3 6846 $20,538 39.63275
10 0.387223 3.733637 0.474831 2 3449 $6,898 43.36639
11 0.349904 3.549162 0.148055 4 6373 $25,492 46.91555
12 0.312585 3.354559 0.24356 4 7206 $28,824 50.27011
13 0.275266 3.147948 0.716607 1 4446 $4,446 53.41806
14 0.237947 2.926787 0.105522 2 4667 $9,334 56.34485
Total Revenue Lost = $167,601