The following represents a project that should be scheduled using CPM: TIMES (DAYS) IMMEDIATE PREDECESSORS m 3 ACTIVITY A B C DEFG G H A A B C, D D, E F,G b. What is the critical path? a 1 1 1 2 3 3 1 2 2 2 3 4 4 4 4 b 5 3 3 4 11 5 6 5
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- B/U pe Activity A B D 11. A project has the activity duration and cost information indicated in the table where all times are in weeks. There is a penalty of $4,000 per week for every week the project exceeds 37 weeks. What is the lowest total cost for completing this project? Predecessor Time 18 11 A A B C E D Normal A H 12 15 3 19 Asbe de ABC' AMBBC RACE AB 7 8 12 6 Normal Cost Crash Time Crash Cost $22,000 $32,000 $62,000 $18,000 $35,000 $8,000 $23,000 $32,000 $56,000 $12,000 5 $18,000 19 $22,000 $9,000 $15,000 $5,000 $13,000 $20,000 $45,000 2 5 4PERT/CPM HOMEWORK (MOD 10) In the table below, you will see activities and times associated with each activity. Review the PowerPoint slides in Module 10 , before you start this assignment. Task Preceding Tasks to (optimistic) tm (most likely) tp (pessimistic) A NONE 2 3 10 B NONE 2 3 4 C A 1 2 3 D A 4 6 14 E B 4 5 12 F C 3 4 5 G D,E 1 1 7 1.) Draw the network using the table above. Make sure all 4 values (ES, EF, LS, LF) are listed on the network. 2.) What is the slack for each activity? What is the critical path? Show ALL of your work! 3.) Find the expected project completion time. What is the project variance? 4.) What is the probability that it would be in more than 14 days? Show ALL of your work. *The circle diagram picture is just an example of how it should look it is not apart of the problem in the chartA project consists of five activities as shown in the following table. Activity Floor sanding Floor buffing Paint mixing Wall painting Ceiling painting Optimistic Time (hr) Most Probable Time (hr) 4 4 0.5 2 3 5 5 Сл 1 3 7.5 Pessimistic Time (hr) 6 6 1.5 10 9 Naturally, the paint mixing precedes the painting activities. Also, both ceiling painting and floor sanding must be done prior to floor buffing. (a) Construct the PERT/CPM network for this problem.
- 2:30 PM ě 0.3KB/s 1ll 54 4G+ 00:15:12 Remaining Multiple Choice The primary difference between PERT and CPM is that CPM uses probabilities on the activity times and PERT does not. O. PERT considers activity costs and CPM does not. PERT can assign probabilities to activity times and CPM does not. CPM considers activity costs and PERT does not. 5 of 20 IIThe table below contains data for the installation of new equipment in a manufacturing process a Excello Corporation. Your company is responsible for the installation project. Indirect costs are $10,000 per week, and a penalty cost of $9,000 per week will be incurred by your company for every week the project is delayed beyond week12. Activity Immediate Predecessor(s) ABCDEFG long dash- long dash- ABCDEFG A B C D, E E Normal Time Crash Time Normal Cost Crash Cost (weeks) (weeks) ($) ($) 1 14,000 2 3,000 1 40,000 3 22,000 1 8,000 4 13,000 2 16,000 3234 1 6 63 7,000 3,000 12,000 12,000 8,000 5,000 9,000 a. What is the shortest time duration for this project regardless of cost? (Enter your response as a whole number.) b. What is the minimum total cost associated with completing the project in 12 weeks? C. What is the total time of the minimum cost schedule? (enter your response as whole numbers). The total project's duration according to minimum cost schedule is? The minimum cost schedule…What is the minimum cost of crashing the following project that Roger Solano manages at Slippery Rock University by 4 days? Normal Cost $800 $200 $600 $750 $1,200 Normal Crash Activity Time (days) Time (days) 4 3 8 6 The total cost of crashing the project by 4 days is $ ABCDE 487 355 (Enter your response as a whole number.) Total Cost with Crashing Immediate Predecessor(s) $1,500 $1,650 By how many days should each activity be crashed to reduce the project completion time by 4 days? Fill in the table below. (Enter your responses as whole numbers.) Each Activity Should be Reduced BY (days) Activity A B C D E $1,100 $600 $650 A C
- In the space provided below create the network diagram that shows the relationship (logic) of project activities shown below and then number each event. 1. In a given project activities "A, B and C are initial activities that may begin at the same time 2. -----"D" cannot begin until "A" is complete. 3. ----- "B" must be complete before E can begin. 4. ----- "F" cannot start until "C" is finished. 5. ----- "G" cannot begin until "B" is finished. 6. ----- "G" and "D" must be done before "H" can begin. 7. ----- "I" cannot begin until "B" is finished. 8. ----- "J" can begin only after "F" and "I" are complete. 9. ----- Once "E" is complete, "K" can begin. 10. ---- The project will be finished when "H" "J" and "K" are complete.You are in charge of a project at the local community center. The center needs to remodel one of the rooms in time for the start of a new program. Delays in the project mean that the center must rent other space at a nearby church at additional cost. Time and cost data for your project are contained in 7.10. Your interest is in minimizing the cost of theproject to the community center.a. Using the normal times for each activity, what is the earliest date you can complete the project?b. Suppose the variable overhead costs are $50 per day for your project. Also, suppose that the center must pay $40 per day for a temporary room on day 15 or beyond. Find the minimum-cost project schedule.Problem Statement: Project Control and Monitoring You are working on a manufacturing project having a budget of PKR 3,600,000 and expected time of its completion is one year. There is an ideal condition that your budget and work are evenly spread across the duration of the project that is twelve month. At the end of forth month, the senior management has called a meeting and invited all the stakeholders to brief about the status of the project. You being the PM of this project is giving the presentation to all the attendees and informed that project is on schedule and PKR 1,800,000 have already been spent on the project. Required: Calculate Cost and Schedule Variance What is SPI and CPI of the project? Estimate at completion and Estimated time to complete?
- A project with total budget cost of 30 cr. is scheduled to be completed in 80 weeks. A periodic review was carried out at end of 60 weeks and results are as given: Budgeted cost of work performed = 17 cr. Actual Cost of work performed = 19 cr. Budgeted cost of work scheduled = 21 cr. What is the cost performance index? A.0.895 B.0.81 C.0.90 D.1.12In the project considered below, activity crashing can take place over a wide range of reduction times. The cost per day of reduction is given: Activity Immediate Normal Time Cost/day Lower Time Predecessor (days) Limit A None 3 450 1 B None 4 300 2 A 3 200 D E 100 E A,B 500 1 F C.D 4 600 3 For example, activity C can be crashed from its normal time of 3 days down to as little as 1 day or anywhere in between; the cost per day to crash C is 200. a) Draw a network diagram for this project. What is the critical path? How long will the project take, if no crashing takes place? b) Determine the least cost way to crash activities in order to complete the project in 11 days; in 10 days; in 9 days; in 8 days. c) Suppose the due date for the project is 5 days and a penalty of $500 a day is assessed for each day late. What is the optimal number of days to crash the project? Why?The following activities are part of a project to be scheduled using CPM: TIME (WEEKS) 7 6 ACTIVITY IMMEDIATE PREDECESSOR A BCDEFG O A-C-D-E-G O A-B-E-G O A-C-D-F-G O A-B-D-F-G AACB A Number of weeks A b. What is the critical path? B, D D E, F 24346 c. How many weeks will it take to complete the project?