Question

Kampel Products makes a vento comerciales C related data are in the following table o ng r eso de Nom e Act Crash Time Normal wek) Court $1.000 $2300 SD 51.000 5900 $4500 $1,300 Cost with dia Casing Predeces) 100 $100 $100 5700 51125 $5500 52 300 thing the activities a) Based on the given information regarding the activities for the project the project completion date wooks b) To reduce the duration of the project 10 weeks at the least the wing is the order of what needs to be followed while The fest activity to cr y 2 weeks ataper working out of dollars Next one should crash aty and activity by 2 weeks for an awal per week crashing cost of dollars Enter your a c h of the answer boxes

Answer 1

Step 1: Draw Activity on Node network diagram as follows: Start --- ---B Finish Step 2: Draw the table listing Max crash time and Crash cost per week Max Crash time = Normal time - Crash time Crash cost per week = (Crash Cost - Normal Cost) / Max Crash time Normal Crash Normal Crash Max Crash Crash cost Activity Predecessor | Time Time Cost Cost Time per week 3 2 1,400 2,100 1 700 B / 2 1 2,300 3,100 1 800 1 L 1 300 300 0 0 1,400 1,700 75 3 900 1,125 2 1 4,500 5,500 1 1,000 DE 2 1,800 2,300 250 Total Normal Cost = 12,600 B 75

14 Step 3: Identify the alternative paths and Critical path. Critical path is the longest path in the network A-D-G Critical path B-E-G 12 C-F 3 Normal Time = Total Normal Cost = 14 weeks 12,600 Step 4: Project Crashing using least cost method 1. Identify and list the various alternative paths through the network and their respective duration. 2. Determine Max crash time (=Normal time - Crash time) and Crash cost per unit time =(Crash cost - Normal cost)/Max Crash Time for each activity. Also determine whether the crash cost rate remains constant as the activity is crashed, or it changes. Determine the variable crash costs by time, if they are variable. 3. Determine the critical path, i.e. the path of longest duration. Only activities along the critical path need to be crashed. 4. Identify the eligible activity on the critical path having the least crash cost per unit time. and reduce by 1 time unit at a time. See if the critical path changes as the activities along the critical path are crashed. 5. If there are multiple critical paths at any stage during the crashing. Then determine whether there is any of the activites common to the critical paths. Then calculate whether the crash cost of common activity is less than the combined crash costs of the least cost crash cost activities along the critical paths. Crashing Activity Crashed Path 2 -E-G Path 3 C-F Activity Crash Cost Cumulativ e Crash Time B Path 1 A-D- G 14 12 12 Project Duration 14 12 12 1 12 99000 ယယယယယယ 150 150 150 500 75 700 150 300 450 950 1,025 1,725 Total Cost 12,600 12,750 12,900 13,050 13,550 13,625 14,325 18 1

a)

Normal completion time = 14 weeks

b)

The first activity to crash is D by 2 weeks at a per week crashing cost of 75 dollas

Next, one should crash activity D and activity E by 2 weeks each for an additional total per week crashing of 150 dollars (this is total per week cost for both activities D and E)

c)

Next activity to crash in order is G by 2 weeks at a per week crashing cost of 250 dollars

Next, one should crash activity A and activity E by 1 week each at a total per week crashing cost of 775 dollars

Total cost of crashing the project to 7 weeks = 1725 dollars