The brakes only Service Shop promises its customers same day service by working overtime if necessary. The shop’s two mechanic can handle a total of 12 brake jobs a day during regular hours. Over the past 100 days, the number of brake jobs at the shop varied between 10 and 14, as shown in the following table.
Demand (jobs) Number of days
10 ...........10
11 ...........30
12 ...........30
13 ...........20
14 ...........10
Total 100
a. a. Assign random numbers between 00 and 99 to simulate the demand probability distribution for brake jobs.
b. Simulate the demand for the next 10 days, using the random numbers 28. 83, 73, 7, 4, 63, 37, 38, 50, and 92.
c. On how many days will overtime work be necessary? On how many days will the mechanics be underutilized?
d. What percent of days, on average, will overtime work be necessary?