Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 10.3, Problem 7P
A.
Summary Introduction
Interpretation: The minimum time and the total direct cost of completing the project where two programmers develop a commercial software package on time is to be computed.
Concept Introduction: Network diagram is a graphical representation of tasks and events happening in a project. It depicts the work flow and is used to compute the total duration of the project.
B.
Summary Introduction
Interpretation: The difference in the total direct cost of completing the project at minimum activity times as against the regular times is to be computed and the underlying reason is to be explained.
Concept Introduction: Network diagram is a graphical representation of tasks and events happening in a project. It depicts the work flow and is used to compute the total duration of the project.
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You are the project manager of the software installationproject in Table 7.12. You would like to find the minimum-costschedule for your project. There is a $1,000-per-week penaltyfor each week the project is delayed beyond week 25. In addi-tion, your project team determined that indirect project costsare $2,500 per week.a. What would be your target completion week?b. How much would you save in total project costs with yourschedule?
The key objectives of a project can be summarized in the form of a
The key objectives of a project can be summarized in the form of a
multiple choice
line.
triangle.
square.
hexagon.
What is the minimum cost of crashing the following project that Roger Solano manages at Slippery Rock University by 4 days?
Crash
Normal
Activity Time (days) Time (days)
Normal
Cost
A
5
4
B
9
7
C
6
5
D
7
5
E
7
4
Total Cost
with Crashing Immediate Predecessor(s)
$800
$300
$600
$750
$1,200
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
$400
$650
$1,500
$1,650
| | | < 0
Chapter 10 Solutions
Production and Operations Analysis, Seventh Edition
Ch. 10.2 - Prob. 1PCh. 10.2 - Prob. 2PCh. 10.2 - Prob. 3PCh. 10.2 - Prob. 4PCh. 10.2 - Prob. 5PCh. 10.2 - Prob. 6PCh. 10.3 - Prob. 7PCh. 10.3 - Prob. 8PCh. 10.3 - Prob. 9PCh. 10.3 - Prob. 10P
Ch. 10.4 - Prob. 11PCh. 10.4 - Prob. 12PCh. 10.4 - Prob. 13PCh. 10.4 - Prob. 14PCh. 10.4 - Prob. 15PCh. 10.4 - Prob. 16PCh. 10.5 - Prob. 17PCh. 10.5 - Prob. 18PCh. 10.5 - Prob. 19PCh. 10.5 - Prob. 20PCh. 10.5 - Prob. 21PCh. 10.6 - Prob. 22PCh. 10.6 - Prob. 23PCh. 10.6 - Prob. 24PCh. 10.6 - Prob. 25PCh. 10 - Prob. 26APCh. 10 - Prob. 27APCh. 10 - Prob. 28APCh. 10 - Prob. 29APCh. 10 - Prob. 30AP
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- The following is a table of activities associated with a project at Rafay Ishfaq's software firm in Chicago, their durations, what activities each must precede and the crash cost to reduce duration per week: Activity Duration (weeks) Precedes Crash Cost/Week A (start) B 224IN 2 A C E F (end) Suppose that Rafay is only given 8 weeks (instead of 10) to complete the project. By how many weeks should each activity be crashed in order to meet the deadline? Assume that you can crash an activity down to 0 weeks duration. Each Activity Should be Reduced BY (weeks) week(s) 1 Activity B, C $380 $110 EFF $220 $140 $400arrow_forwardThe company decided that the project in the previous problem had to be expedite in order to optimize (minimize) the project cost. Expediting can be used to trade direct cost for indirect cost, since expediting reduces the indirect cost of the project by a fixed amount per day, while expediting an activity increases its total direct cost. The Accounting Department found that indirect costs amount to $100 per day, while activity direct costs as well as their normal and expedited times are given in the table below. Activity Duration (Days) Expedited Time (Days) Normal Direct Cost ($) Expedited Direct Cost ($) A 32 26 200 500 B 21 20 300 375 C 30 30 200 200 D 45 40 200 800 E 26 20 700 1,360 F 28 24 1,000 1,160 G 20 18 400 550 What is the optimal time to complete the project? What is the optimal project cost?arrow_forwardAssume that the activities in Problem 3.11 have the following costs to shorten: A, $300/week; B, $100/week; C, $200/ week; E, $100/week; and F, $400/week. Assume also that you can crash an activity down to 0 weeks in duration and that every week you can shorten the project is worth $250 to you. What activities would you crash? What is the total crashing cost? Note: The attached photos is the activities in problem 3.11.arrow_forward
- The client of a project has requested the project team to crash 8 hours of time. The table below provides the necessary information about the possible project crashing. (a) What is the crash cost for 8 hours of time-savings? (b) Assume the team calls the client and asks for a project extension, reducing the amount of time they need to crash. The project team has a $20 crash budget. Is the budget sufficient to crash 4 hours of time? Activity Normal Duration (hours) Normal Cost ($) Crash Duration (hours) Crash Cost (S) Immediate Predecessors A 2 10 2 0 None B 3 15 2 23 A C 5 25 4 30 B D 3 20 1 24 C E 6 30 4 45 C F 1 5 1 0 E G 7 35 6 50 F H 10 50 7 80 D, Garrow_forwardThe following is a table of activities associated with a project at Rafay Ishfaq's software firm in Chicago, their durations, what activities each must precede and the crash cost to reduce duration per week: Activity Duration (weeks) Precedes Crash Cost/Week A (start) B, C B $370 $120 C $200 E $150 F (end) $420 Suppose that Rafay is only given 9 weeks (instead of 11) to complete the project. By how many weeks should each activity be crashed in order to meet the deadline? Assume that you can crash an activity down to 0 weeks duration. Each Activity Should be Reduced BY (weeks) week(s) 3 2 5 2 3 Activity A E F Farrow_forwardUsing your results from Problem 6,(a) Calculate the probability that the project will be completedin 38 weeks.(b) Calculate the probability that the project will be completedin 42 weeksarrow_forward
- The following is a table of activities associated with a project at Rafay Ishfaq's software firm in Chicago, their durations, what activities each must precede and the crash cost to reduce duration per week: Activity Duration (weeks) Precedes Crash Cost/Week A (start) B C E F (end) 3 2 6 2 3 Activity B, C E F F A B Suppose that Rafay is only given 9 weeks (instead of 12) to complete the project. By how many weeks should each activity be crashed in order to meet the deadline? Assume that you can crash an activity down to 0 weeks duration. $380 $130 $240 Each Activity Should be Reduced BY (weeks) 0 week(s) week(s) $150 $400arrow_forwardA project has three critical paths: A-B-C-D-E, A-G-H-E, and A-F-I-E. Crashing costs (in thousands, per week) for each activity is listed below: Activity Crashing 1st time Crashing 2nd time Crashing 3rd time 35 2 28 1 C 29 4 1 8 8 4 E 34 1 IF 34 28 3 G 27 19 1 8 7 1 5 4 What is the total cost of reducing this project by two weeks? а. 36 b. 58 С. 69 d. 43 57 LO e.arrow_forwardProject crashing is when you shorten the duration of a project by reducing the time of one or more tasks. Crashing is done by increasing the resources to the project, which helps make tasks take less time than what they were planned for. Of course, this also adds to the cost of the overall project. Therefore, the primary objective of project crashing is to shorten the project while also keeping costs at a minimum. What are the different options for crashing an activity when resources are not constrained ?arrow_forward
- The table below shows the duration and direct costs for the activities of a construction project. It is required to calculate the duration of the project that achieves the lowest possible total cost using the technique of crashing if the indirect costs are 5000$ per week. TITTI Activity Normal Time Normal Cost (NC) $ 6000 Crash Cost (CC) $ 12000 5000 Crash Time (NT) Weeks (CT) Weeks A 3 B 5 3000 2000 3 3 4000 6. 3000 3 6000 6. 9000 24000 Total Direct 23000 Costarrow_forwardIn 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?arrow_forwardConsider a project that has been modeled as in Table 1 Draw the PERT/CPM network for this project and determine the project’s expected completion time µP and its critical path. Suppose the standard deviations of the activity durations are σA = 2, σB = 1, σC = 0, σD = 2, σE = 3, and σF = 0. Then please estimate the standard deviation of the overall project’s standard deviation σP . Suppose for the standard Normal random variable Z, we know P[−1 ≤ Z ≤ +1] ' 68%, P[−2 ≤ Z ≤ +2] ' 95%, and P[−3 ≤ Z ≤ +3] ' 99.7%. Then, approximately what time T is one for which there is only a less than 2.5% chance for the completion time to beat (be shorter than)?arrow_forward
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