1. The network below represents a project being analyzed by Critical Path Methods. Activity durations are indicated on the network.
a. What is the duration of the critical path?
b. Calculate the amount of slack time at activity H.
If activity I were delayed by ten time units, what would be the impact on the project duration?
2. A department chair wants to monitor the percentage of failing students in classes in her department, Each class had an enrollment of 50 students last spring. The number of failing students in the 10 classes offered that term were 1, 4. 2, 0. 0, 0, 0, 0, 0, and 3, respectively. Graphically evaluate the quality of this process.
3. Tobacco is shipped from North Carolina to a cigarette manufacturer in Cambodia once a year. The reorder point, without safety stock is 200 kilos. The carrying cost is $15 per kilo per year, and the cost o a stock out is $70 per kilo per year. Given the following, how much safety stock should be carried?
|
Lead Time Demand (kilos)
|
Probability
|
|
0
|
0.1
|
|
100
|
0.1
|
|
200
|
0.2
|
|
300
|
0.4
|
|
400
|
0.2
|
4. Janelle' s Car Wash takes a constant time of 4.5 minutes in its automated car wash cycle. Autos arrive following a Poisson distribution at the rate of 10 per hour. Janelle has asked you to calculate:
a. The average time a car will wait in line for the car wash.
b. The average number of cars waiting in line for the car wash.