PJM 7210 Module 3 Resources and Crashing Exercises Example

Reviewed by Edgar Pennington, MBA Thomas Edison State University Updated October 2026

This PJM 7210 Module 3 sample paper completes the third exercise set for Project Management, applied to one 150-line neighborhood phase of a composite Bergen County water authority's lead line program. It was prepared for TESU's Master of Business Administration (MBA). The exercises build a 14-week network, level it to three crews in a split-crew schedule that runs 17 weeks and moves the critical path, decide whether an $81,000 contractor crew is worth $45,000 of indirect savings given a winter paving shutdown, sketch a time-phased budget, and apply influence without authority. PJM-7210 is the catalog code. Each exercise ends with a decision.

CoursePJM-7210 Project Management
ModuleModule 3
Paper typeWritten assignment 3: scheduling resources and cost, reducing duration and leadership exercises
LengthAbout 949 words, 6 pages
FormatAPA 7 student paper
SchoolThomas Edison State University
ProgramMaster of Business Administration
UpdatedOctober 2026

Free sample paper for PJM 7210 Module 3

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Fourteen Weeks on Paper, Seventeen With Three Crews: Leveling, Crashing and Leading One Neighborhood Phase of a Lead Line Program

Student Name

Master of Business Administration, Thomas Edison State University

PJM-7210: Project Management

Mentor Name

Month Day, Year

What this page is doingThe title states the gap between the unconstrained schedule and the resource-limited one, the problem the exercises solve. The authority and figures are a composite.
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Fourteen Weeks on Paper, Seventeen With Three Crews: Leveling, Crashing and Leading One Neighborhood Phase of a Lead Line Program

These exercises apply Module 3 of Larson and Gray (2018) to the first neighborhood phase of the lead service line program at Ramapo Valley Water Authority, the same composite Bergen County utility used in the earlier assignments. The phase covers 150 service lines and six activities. The authority has three replacement crews available for the phase, and each line must be replaced from main to meter, public and private portions alike, since research shows that only full replacement reliably lowers lead levels (Trueman et al., 2016).

Exercise 1: The Unconstrained Schedule

The activities, durations and crew requirements are shown below. Ignoring resource limits, the forward pass gives two paths: mobilization, private-side replacement, lawn and driveway restoration, and testing take 2, 8, 2 and 2 weeks, or 14 weeks; mobilization, public-side replacement, street restoration and testing take 2, 6, 3 and 2 weeks, or 13. The critical path is the private-side path, with one week of slack on the public-side path.

ActivityPredecessorsDuration (weeks)Crews required
A: Mobilization and utility mark-outsNone21
B: Replace public-side linesA62
C: Replace private-side linesA82
D: Street restorationB31 (paving contractor)
E: Lawn and driveway restorationC21 (lawn contractor)
F: Flushing and water testingD, E2Utility staff

Exercise 2: Leveling to Three Crews

Activities B and C both start after week 2 and together need four crews, but only three exist. Larson and Gray (2018) explain that when resources are constrained, the schedule must be adjusted, usually by giving priority to activities with the least slack. Activity C is critical, so it keeps two crews from week 2 to week 10. Activity B can proceed with the third crew alone from week 2 to week 10, completing 8 of its 12 crew-weeks of work, and then with two crews in weeks 10 to 12, finishing at week 12. Street restoration then runs from week 12 to 15, lawn restoration from week 10 to 12, and testing from week 15 to 17.

The resource-constrained schedule therefore takes 17 weeks instead of 14, and the critical path has shifted to the public-side chain. This illustrates the textbook's point that a network schedule is not a real schedule until resources have been assigned, and that leveling can change which activities are critical.

What this page is doingShowing the crew-weeks of work, not just durations, makes the split-crew schedule verifiable and explains why the critical path moved.
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Exercise 3: Should the Phase Be Crashed?

The phase's indirect costs, for the inspector, traffic control and the project office, run about $15,000 a week. A contractor can supply a fourth crew at $13,500 a week. Adding that crew for the six weeks B needs restores the 14-week schedule at a cost of $81,000 and saves three weeks of indirect costs, $45,000. On cost alone, crashing does not pay, since it adds $36,000.

Larson and Gray (2018) note, however, that reasons to shorten projects include more than direct savings, such as imposed deadlines and penalties. In northern New Jersey, asphalt plants generally close for the winter, and street restoration that cannot be completed must be patched temporarily and redone in spring. If the phase begins on August 1, the 17-week schedule ends in late November, before the shutdown, and crashing is unnecessary. If it begins on September 15, the 17-week schedule pushes paving into January, while the 14-week schedule finishes in late December. In that case, the cost of temporary patches and repaving on 150 excavations, likely more than $36,000, plus residents' complaints about open trenches, justifies hiring the fourth crew. The decision therefore depends on the start date, and the project manager should plan the phase calendar to avoid paying for speed.

Exercise 4: A Time-Phased Budget

Larson and Gray (2018) recommend time-phased budgets so that spending can be compared with progress. With a budget of $1.8 million for the phase, about $12,000 per line, the leveled schedule spends little in the first two weeks of mobilization, rises steeply in weeks 2 to 12 while three crews replace lines, peaks when the paving contractor joins in weeks 12 to 15, and falls during testing. Publishing this curve lets the authority's finance office plan its draws on the state revolving fund loan and gives the project manager a baseline for earned value reporting in Module 4.

Exercise 5: Leading Without Authority

The textbook stresses that project managers rarely control all the people they need and must lead through influence, building a social network of stakeholders and exchanging what Larson and Gray call currencies of influence, such as help, information, recognition and personal support. For this phase, the project manager needs cooperation from the town engineer who issues street opening permits, the paving contractor who schedules many clients, and homeowners whose consent is required for private-side work. Offering the town engineer advance schedules and joint inspections, giving the paving contractor firm dates and steady volume, and providing homeowners with a named contact and clear notice of work days are all forms of influence that do not depend on authority. Turner and Müller (2005), reviewing research on project leadership, concluded that the project manager's leadership style affects project success and that different projects call for different styles; this phase, heavy on external stakeholders, calls for a collaborative, relationship-centered style.

Conclusion

Assigning three real crews turns a 14-week network into a 17-week schedule and moves the critical path. Whether to buy back those weeks depends less on direct costs than on the calendar, because a winter paving shutdown changes the economics. A time-phased budget prepares the phase for cost control, and success with permits, contractors and homeowners depends on influence rather than formal authority.

References

Larson, E. W., & Gray, C. F. (2018). Project management: The managerial process (7th ed.). McGraw-Hill Education.

Trueman, B. F., Camara, E., & Gagnon, G. A. (2016). Evaluating the effects of full and partial lead service line replacement on lead levels in drinking water. Environmental Science & Technology, 50(14), 7389-7396. https://doi.org/10.1021/acs.est.6b01912

Turner, J. R., & Müller, R. (2005). The project manager's leadership style as a success factor on projects: A literature review. Project Management Journal, 36(2), 49-61. https://doi.org/10.1177/875697280503600206

Reading the PJM 7210 Module 3 assignment instructions

Module 3 of PJM-7210 deals with resource-constrained scheduling, cost, schedule compression and leading a team, and its written assignment draws on selected exercises from those chapters. Expect problems on resource leveling, cost-duration trade-offs and time-phased budgets, along with questions on the project manager's leadership role. Show crew or resource assignments period by period and the cost of each crashing option, and state any reasons beyond cost that might justify a shorter schedule. If the exercises supply a network and resource table, reproduce them in your answer before solving, so the mentor can follow each step, and label every period of a leveled schedule with the resources in use.

Inside the PJM 7210 Module 3 example

The exercises continue the organization used in Module 1 so the analysis builds. A table defines the network, the unconstrained schedule is calculated, and leveling is shown in crew-weeks so the 17-week result can be checked. The crashing exercise compares direct and indirect costs, then adds the seasonal constraint that changes the decision. A time-phased budget connects scheduling to cost control, and the leadership exercise applies the textbook's influence currencies to named stakeholders with research support. The seasonal constraint is introduced as a fact of the project's location, showing how real conditions change a textbook calculation. Each exercise closes with a recommendation, so the set reads as advice to the authority rather than as isolated computations.

PJM 7210 Module 3 rubric: what earns full marks

Each PJM-7210 exercise set earns a score out of 100. Mentors expect correct scheduling and leveling, clear cost comparisons for crashing, and interpretation that explains why the schedule changed and what management should do. Considering non-cost reasons for shortening a project shows judgment the textbook encourages. Leadership answers should apply concepts to specific people. Tables, labeled exercises and APA citations round out the mark. Answers that explain why a decision changes under different conditions, as with the start date in the crashing exercise, demonstrate the applied understanding the course is designed to build. Mentors also look for budgets that connect to later cost control and for leadership answers tied to named stakeholders rather than general advice.

Common PJM 7210 Module 3 mistakes, and how to avoid them

Leveling problems often go wrong because students shift a critical activity instead of one with slack, or forget to recheck which path is critical afterward. Crashing answers frequently compare only direct costs and miss indirect costs or deadlines. Show resource use by period and explain each choice. Our writers can prepare PJM 7210 exercise solutions for the problems your module assigns. After leveling, always recompute the critical path; it often moves. In crashing questions, list each option with its cost per week saved and stop when the next option costs more than it saves, unless a deadline or penalty changes the math. For leadership questions, name the stakeholders and what each needs from you.

Write yours, or have the desk draft it

This paper is an original model document written by our desk, not a submitted student paper and not an official Thomas Edison State University document. Read it for the moves, then write your own to the instructions in your classroom. If you want one built to your exact prompt and rubric, the first custom sample is free and arrives in 24 to 48 hours.

More PJM 7210 and Master of Business Administration sample papers

PJM 7210 Module 3 questions, answered

Where can I find a free PJM 7210 Module 3 sample paper?

The third Project Management exercise set is reproduced above: a resource-constrained schedule, a crashing decision, a time-phased budget and leadership without authority for one lead line phase.

What is resource leveling?

Adjusting a schedule so that resource demands stay within what is available, usually by delaying or splitting activities with slack, which can lengthen the project and change the critical path.

When is crashing a project worthwhile?

When the cost of shortening activities is less than the savings in indirect costs and penalties, or when a deadline or outside constraint makes time especially valuable.

What are currencies of influence?

Things a project manager can exchange to gain cooperation without formal authority, such as help, information, recognition and personal support.

How many written assignments does PJM-7210 have?

Four, each built from selected end-of-chapter exercises.