PMP Exam · Process Domain · Topic 2 of 5

Scope, Schedule & Cost Planning

Master WBS, critical path method, and earned value management — the most calculation-heavy cluster of the PMP exam.

WBS & Scope Baseline Critical Path Method Float & Schedule Compression EVM Formulas (EV, PV, AC) CPI, SPI, EAC, TCPI Cost Estimating
Take a Practice Test →
50%
PMP Process Domain
100%
WBS Rule
0 Float
Critical Path
EV−AC
Cost Variance
BAC÷CPI
EAC Formula

Scope, Schedule & Cost Planning

These three knowledge areas form the "iron triangle" of project management — the constraints every PM must balance. Together they produce the three project baselines that define project success and enable performance measurement.

Exam Weight: Planning processes account for roughly 24 of the 49 PMBOK processes and are heavily tested. Earned Value Management (EVM) questions appear on almost every PMP exam — mastering the formulas and their interpretations is non-negotiable.

📐 Scope Baseline

Three components: Project Scope Statement (what's in and out), WBS (Work Breakdown Structure — decomposed deliverables), and WBS Dictionary (detail for each work package). All three together = scope baseline.

📅 Schedule Baseline

The approved version of the project schedule — derived from the network diagram, CPM analysis, and resource assignments. Float identifies where flexibility exists. The critical path has zero float.

💰 Cost Baseline

Time-phased approved budget (S-curve). Excludes management reserve. Cost baseline + management reserve = Budget at Completion (BAC). EVM measures performance against the cost baseline.

📊 The EVM Triangle at a Glance
Planned Value (PV)
BCWS
What you planned to accomplish by now (budget $)
Earned Value (EV)
BCWP
Value of work actually completed (budget $)
Actual Cost (AC)
ACWP
What you actually spent to do completed work
Cost Variance (CV)
EV − AC
+ = under budget · − = over budget
Schedule Variance (SV)
EV − PV
+ = ahead of schedule · − = behind schedule
CPI
EV ÷ AC
>1 = under budget · <1 = over budget
SPI
EV ÷ PV
>1 = ahead of schedule · <1 = behind
EAC (typical)
BAC ÷ CPI
Forecast total cost if current efficiency continues
TCPI
(BAC−EV) ÷ (BAC−AC)
Efficiency needed on remaining work to hit BAC
🔗 Planning Process Flow
Collect Requirements Define Scope Create WBS Define Activities Sequence Activities Estimate Durations Estimate Costs Determine Budget

Scope processes (blue) produce the WBS and scope baseline. Schedule processes (dark blue) produce the network diagram and schedule baseline. Cost processes (navy) produce the cost baseline. All three feed the project management plan.

Scope Management

Scope management defines and controls what is — and is not — included in the project. The WBS is the foundation of all planning: no schedule activity or cost estimate should exist for work outside the WBS.

📋 Scope Statement — Product vs Project Scope

Product scope: Features and functions of the deliverable (the "what"). Measured against product requirements.

Project scope: The work required to deliver the product (the "how much work"). Measured against the project management plan.

Project Scope Statement includes: project description, deliverables, acceptance criteria, exclusions (explicitly what's out of scope), constraints, and assumptions.

Scope creep: Uncontrolled expansion of scope without adjusting time, cost, or resources. The primary cause is poor requirements definition and missing integrated change control.

Gold plating: Adding features beyond requirements without authorization — also prohibited. The PM must deliver exactly what was agreed, no more, no less.

Requirements Traceability Matrix (RTM): Links each requirement to its source, WBS work package, test case, and final deliverable. Ensures nothing is missed and no unauthorized work is added. Essential input to scope validation.

Scope Validation vs Quality Control

Scope Validation (Monitoring & Controlling) = customer formally accepts deliverables. Focuses on acceptance.

Quality Control (Monitoring & Controlling) = verify deliverables meet quality requirements. Focuses on correctness.

QC typically happens before scope validation — you confirm it's correct before presenting for acceptance.

🌳 WBS — Work Breakdown Structure

The WBS is a hierarchical decomposition of the total project scope into work packages — the lowest level where cost and schedule can be reliably estimated and controlled.

The 100% Rule: The WBS must capture 100% of the project scope — all deliverables, including project management work. Nothing inside the WBS should be outside scope; nothing in scope should be missing from the WBS.

Work package = smallest WBS element; can be scheduled, cost-estimated, monitored, and controlled. Typically 8–80 hours of work (rule of thumb).

WBS Dictionary: Describes each WBS element — scope, deliverables, assumptions, milestones, resources, cost estimate, quality requirements, acceptance criteria.

Decomposition is the technique: break deliverables into smaller components until work packages are reached.

1.0 Website Redesign Project
1.1 Design
1.1.1 Wireframes 1.1.2 Style Guide
1.2 Development
1.2.1 Frontend 1.2.2 Backend 1.2.3 Integration
1.3 Testing
1.4 Deployment
1.5 Project Management

Note: 1.5 Project Management is a WBS element — PM work is in scope and must be included per the 100% rule.

Schedule Management

Schedule management transforms the WBS into a time-phased plan. Critical Path Method (CPM) is the cornerstone technique — identifying the longest path through the network, which determines the minimum project duration.

🔗 Network Diagram — PDM Dependency Types
FSFinish-to-Start
Successor cannot start until predecessor finishes. Most common. Example: testing cannot start until coding finishes.
FFFinish-to-Finish
Successor cannot finish until predecessor finishes. Example: documentation cannot finish until testing finishes.
SSStart-to-Start
Successor cannot start until predecessor starts. Example: quality control can start once installation starts.
SFStart-to-Finish
Successor cannot finish until predecessor starts. Rarely used. Example: night shift (successor) cannot end until day shift (predecessor) starts.
Lead vs Lag

Lead (negative lag): Allows overlap — successor starts before predecessor finishes. Example: FS with 3-day lead means successor starts 3 days before predecessor finishes. Accelerates schedule.

Lag (positive lag): Adds delay — mandatory wait between activities. Example: concrete must cure for 3 days (FS + 3-day lag) before forming can be removed.

Mandatory vs Discretionary Dependencies: Mandatory = inherent in work (hard logic — can't pour foundation before excavation). Discretionary = best practice / preferred sequence (soft logic — can be changed for schedule compression).

📏 Critical Path Method (CPM) — Forward & Backward Pass

CPM identifies the critical path — the longest sequence of activities that determines the minimum project duration. Activities on the critical path have zero float (slack).

Forward Pass (left → right) calculates Early Start (ES) and Early Finish (EF):

  • EF = ES + Duration − 1
  • ES of successor = EF of predecessor + 1 (for FS)

Backward Pass (right → left) calculates Late Start (LS) and Late Finish (LF):

  • LS = LF − Duration + 1
  • LF of predecessor = LS of successor − 1 (for FS)

Float = LS − ES = LF − EF. Float = 0 → critical path activity. Negative float = project is behind.

Free float: Amount an activity can be delayed without delaying the early start of any successor.

Total float: Amount an activity can be delayed without delaying the project end date.

Activity Node Format (PDM):

Activity Name
ESEF
LSLF
Duration | Float

Worked Example: Activity B

Duration5 days
Early Start (ES)Day 6
Early Finish (EF)6 + 5 − 1 = Day 10
Late Finish (LF)Day 13
Late Start (LS)13 − 5 + 1 = Day 9
FloatLS − ES = 9 − 6 = 3 days
⚡ Schedule Compression Techniques

Crashing: Add resources to critical path activities to reduce duration. Results in increased cost. Always analyze cost-benefit — crash the activity with the lowest cost-per-day-saved first. Does not increase risk significantly when done correctly.

Formula: Crash Cost per Day = (Crash Cost − Normal Cost) ÷ (Normal Duration − Crash Duration)

Fast Tracking: Perform critical path activities in parallel (overlap) that were originally sequential. Results in increased risk (rework if predecessor output changes) and may require more communication. Does not necessarily increase cost.

Key rule: Both techniques only work on the critical path. Compressing non-critical activities does not shorten the project end date.

TechniqueMethodCost ImpactRisk ImpactUse When
CrashingAdd resources to critical path activitiesIncreases costLow–moderateBudget available; hard deadline
Fast TrackingOverlap sequential activitiesMinimal cost changeIncreases riskNo budget; willing to accept rework risk
Resource LevelingAdjust schedule to resolve over-allocationMay increase costLowResource constraints; may extend schedule
Resource SmoothingAdjust within float to reduce peaksNeutralLowKeep schedule; smooth resource usage

Cost Management & Earned Value

Cost management establishes the budget baseline and tracks financial performance. Earned Value Management (EVM) is the PMP's unified framework for measuring schedule and cost performance objectively — in dollar terms.

💰 Cost Estimating Techniques
TechniqueMethodAccuracyPhase
Analogous (Top-Down)Expert judgment based on similar past projects−25% to +75% (ROM)Early / Initiation
ParametricStatistical model (unit cost × quantity); e.g., cost per sq ft, cost per function point−10% to +25%Planning
Bottom-UpEstimate each work package individually, roll up to total−5% to +10%Detailed Planning
Three-Point (PERT)Expected = (O + 4M + P) ÷ 6Varies — accounts for riskPlanning / Risk

ROM vs Budget vs Definitive: ROM (Rough Order of Magnitude) = −25% to +75%, used in Initiating. Budget estimate = −10% to +25%, used for authorization. Definitive = −5% to +10%, used for contract bidding. Accuracy improves as the project progresses and more information becomes available.

📊 EVM — The Complete Formula Set

The three inputs (always know these first):

  • PV (Planned Value) = BCWS — what was the budgeted cost for work scheduled to be done by now?
  • EV (Earned Value) = BCWP — what is the budgeted cost for work actually completed?
  • AC (Actual Cost) = ACWP — what did it actually cost to do the completed work?

Interpretation rules (always apply):

  • CV positive = under budget; negative = over budget
  • SV positive = ahead of schedule; negative = behind
  • CPI > 1 = under budget; < 1 = over budget
  • SPI > 1 = ahead of schedule; < 1 = behind

EVM Worked Example

BAC (Budget at Completion)$100,000
PV (planned 60% done by now)$60,000
EV (only 50% actually done)$50,000
AC (spent to do that work)$55,000
CV = EV − AC$50K − $55K = −$5,000 ⚠️
SV = EV − PV$50K − $60K = −$10,000 ⚠️
CPI = EV ÷ AC50/55 = 0.91 ⚠️
SPI = EV ÷ PV50/60 = 0.83 ⚠️
EAC = BAC ÷ CPI$100K ÷ 0.91 = $109,890
🔢 EAC Variants — Which Formula to Use
Scenario / AssumptionEAC FormulaWhen to Use
Current efficiency (CPI) will continue for remaining workEAC = BAC ÷ CPIMost common on PMP exam — "if current trends continue"
Remaining work will be done at original planned rateEAC = AC + (BAC − EV)Original estimate was flawed but future will be on plan
Remaining work completely re-estimated (bottom-up)EAC = AC + ETCSignificant changes; new detailed estimate prepared
Both CPI and SPI will affect remaining workEAC = AC + [(BAC − EV) ÷ (CPI × SPI)]Schedule pressure also impacts remaining cost
ETC — Estimate to Complete

ETC = EAC − AC

How much more money is needed to finish the project from this point forward. If EAC = $109,890 and AC = $55,000, then ETC = $54,890.

VAC & TCPI

VAC = BAC − EAC (negative = over budget at completion)

TCPI = (BAC − EV) ÷ (BAC − AC) — efficiency needed on remaining work to finish within BAC. TCPI > 1 means you need to work MORE efficiently than you have been.

Integration & Baselines

The scope, schedule, and cost baselines together form the Performance Measurement Baseline (PMB). Changes to any baseline require formal integrated change control — they cannot be modified unilaterally.

🔗 The Three Baselines
BaselineComponentsWhat It EnablesChanged Via
Scope BaselineScope statement + WBS + WBS DictionaryDefines deliverables; basis for scope validationChange request → CCB approval
Schedule BaselineApproved project schedule (with milestones, critical path)Measures schedule variance (SV, SPI)Change request → CCB approval
Cost BaselineTime-phased approved budget (S-curve); excludes management reserveMeasures cost variance (CV, CPI, EAC)Change request → CCB approval
PMBScope + Schedule + Cost baselines togetherFoundation for all earned value measurementFormal integrated change control
💼 Budget Structure
BAC — Budget at Completion
Cost Baseline
Work packages + contingency reserve
Management Reserve
Unknown unknowns — PM needs approval to access
Control AccountsWork PackagesPlanning Packages
+ Contingency Reserve (known unknowns — PM can access)

Key distinction: Contingency reserve (inside cost baseline) = for identified risks (known unknowns). Management reserve (outside cost baseline) = for unforeseen scope changes (unknown unknowns). PM cannot use management reserve without sponsor approval.

🔄 Integrated Change Control

All proposed changes to scope, schedule, or cost baselines must go through the Change Control Board (CCB) via a formal change request process. No PM can unilaterally change a baseline.

Change Request process:

  1. Change identified (by anyone — team, stakeholder, PM)
  2. Change request submitted and logged
  3. Impact analysis performed (scope, schedule, cost, risk, quality)
  4. CCB reviews and approves / rejects
  5. If approved: update plans and baselines
  6. Communicate changes to stakeholders

Exam Tip: When scope creep occurs, the PM should not simply refuse the change. The correct action is to submit a change request and evaluate impact through the formal process.

📈 S-Curve — Cost Baseline Over Time

The cost baseline plotted over time produces an S-curve — slow spending in early stages (planning, design), rapid growth during execution, and tapering at closeout. EVM measures actual spend (AC) and earned value (EV) against this planned S-curve (PV) at any point in time.

EVM IndicatorFavorableUnfavorableInterpretation
CV (Cost Variance)PositiveNegativeUnder / over budget
SV (Schedule Variance)PositiveNegativeAhead / behind schedule
CPI> 1.0< 1.0Under / over budget efficiency
SPI> 1.0< 1.0Ahead / behind schedule efficiency
TCPI≤ 1.0> 1.0Need less / more efficiency than current to hit BAC
VACPositiveNegativeWill finish under / over budget

Practice Quiz

10 questions covering WBS, critical path, schedule compression, earned value calculations, and cost baselines. Select an answer to reveal the explanation.

Question 1 of 10
Which statement BEST describes the WBS 100% rule?
AAll WBS work packages must be completed 100% before the project can close.
BThe PM must personally approve 100% of all work package estimates.
CThe WBS must capture 100% of project scope — all deliverables and project management work, with nothing missing and nothing outside scope.
DWork packages must be sized at 100 hours or less.
The 100% rule states that the WBS must represent 100% of the total project scope — every deliverable, sub-deliverable, and project management activity. Nothing inside the WBS should be out of scope, and nothing in scope can be absent from the WBS. It does not set a size limit on work packages (the 8–80 hour guideline is a rule of thumb, not a rule).
Question 2 of 10
Activity B has ES=10, EF=15, LS=13, LF=18. What is the float, and is it on the critical path?
AFloat = 5; it IS on the critical path.
BFloat = 3; it is NOT on the critical path.
CFloat = 0; it IS on the critical path.
DFloat = 3; it IS on the critical path.
Float = LS − ES = 13 − 10 = 3 days. You can also verify: LF − EF = 18 − 15 = 3. Because float = 3 (not zero), this activity is NOT on the critical path. Critical path activities have zero float. A delay of up to 3 days on Activity B will not affect the project end date.
Question 3 of 10
The project is behind schedule and the sponsor has authorized additional budget. Which schedule compression technique should the PM apply?
ACrashing — add resources to critical path activities.
BFast tracking — overlap critical path activities in parallel.
CResource leveling — adjust the schedule to resolve over-allocation.
DResource smoothing — adjust activities within float to reduce resource peaks.
Crashing is the correct choice when budget is available and the schedule must be compressed. It adds resources (overtime, additional personnel, subcontractors) to critical path activities to reduce their duration. The trade-off is increased cost. Fast tracking doesn't require additional budget but increases risk. Resource leveling/smoothing don't compress the schedule.
Question 4 of 10
EV = $80,000, AC = $100,000, PV = $90,000. What is the CPI, and what does it indicate?
ACPI = 1.25; the project is under budget.
BCPI = 0.80; the project is over budget.
CCPI = 0.89; the project is behind schedule.
DCPI = 1.13; the project is under budget.
CPI = EV ÷ AC = $80,000 ÷ $100,000 = 0.80. A CPI less than 1.0 means the project is over budget — you are getting only $0.80 of planned value for every $1.00 spent. Also note: SPI = EV ÷ PV = 80/90 = 0.89 (behind schedule), but CPI specifically measures cost efficiency. Common trap: CPI = EV/AC, not EV/PV.
Question 5 of 10
Which three components together make up the scope baseline?
AProject charter, WBS, and requirements documentation.
BWBS, WBS dictionary, and stakeholder register.
CProject scope statement, WBS, and WBS dictionary.
DRequirements traceability matrix, WBS, and project charter.
The scope baseline = Project Scope Statement + WBS + WBS Dictionary. The project charter authorizes the project but is not a baseline document. The requirements traceability matrix tracks requirements but is not part of the scope baseline. The stakeholder register is a planning document unrelated to the scope baseline.
Question 6 of 10
EV = $80,000, PV = $90,000. What does the Schedule Variance (SV) tell you?
ASV = −$10,000; the project is behind schedule.
BSV = +$10,000; the project is ahead of schedule.
CSV = −$10,000; the project is over budget.
DSV = +$10,000; the project is under budget.
SV = EV − PV = $80,000 − $90,000 = −$10,000. Negative SV means the project is behind schedule — less work was accomplished (EV) than was planned (PV). Note: SV is expressed in dollars (not days) and measures schedule performance in earned value terms. It does NOT mean the project is over budget — that's measured by CV = EV − AC.
Question 7 of 10
BAC = $200,000 and CPI = 0.80. Assuming current cost efficiency will continue, what is the EAC?
A$160,000
B$250,000
C$240,000
D$180,000
When current efficiency is expected to continue: EAC = BAC ÷ CPI = $200,000 ÷ 0.80 = $250,000. The project is over budget (CPI < 1) and will cost $50,000 more than planned if the trend continues. Option A ($160,000) is BAC × CPI — a common trap. Option C is BAC × 1.2 — also wrong.
Question 8 of 10
A PM is compressing the schedule by overlapping activities that were originally planned sequentially. What is this technique and what is its primary risk?
ACrashing — increases cost significantly.
BResource leveling — may extend the overall schedule.
CFast tracking — increases risk of rework.
DResource smoothing — may reduce resource efficiency.
Fast tracking overlaps activities that were planned sequentially. The primary risk is rework — if the predecessor's output changes after the successor has already started, the successor's work may need to be redone. For example, starting construction before design is finalized risks rebuilding if design changes. Fast tracking does not inherently increase cost.
Question 9 of 10
BAC = $100,000, EV = $60,000, AC = $70,000. What is the TCPI (using BAC), and what does it mean?
ATCPI = 1.33 — the team must work 33% more efficiently than current to finish within BAC.
BTCPI = 0.86 — the project will finish under budget if the current rate continues.
CTCPI = 1.33 — the project is ahead of schedule.
DTCPI = 0.75 — the remaining work requires less efficiency than current.
TCPI = (BAC − EV) ÷ (BAC − AC) = ($100K − $60K) ÷ ($100K − $70K) = $40,000 ÷ $30,000 = 1.33. The team must be 33% more efficient on remaining work than they have been to date. Since current CPI = 60/70 = 0.857, and TCPI = 1.33, finishing within BAC is very unlikely — the PM should flag this to management and consider a revised EAC.
Question 10 of 10
Which cost estimate type is produced using statistical relationships between historical data and project variables (e.g., cost per square foot)?
AAnalogous estimating
BParametric estimating
CBottom-up estimating
DThree-point estimating
Parametric estimating uses statistical models — unit cost × quantity, cost per function point, cost per line of code, etc. It can be highly accurate when the relationship is well-validated. Analogous uses expert judgment on similar past projects (less accurate, faster). Bottom-up estimates each work package individually (most accurate, most time-consuming). Three-point uses (O + 4M + P) ÷ 6 to account for risk/uncertainty.
0/10
Questions Correct

Review the explanations above for any missed questions.

Memory Hooks & Advisor

Mnemonics and patterns to lock in EVM formulas, WBS rules, CPM calculations, and schedule compression trade-offs before exam day.

🔢
EVM: Always Start with 3 Inputs
Before calculating any EVM metric, identify PV, EV, and AC first. EV is the bridge — it appears in every formula. CV and SV both subtract FROM EV. Indexes (CPI/SPI) both divide BY EV's cousin (EV/AC, EV/PV).
"EVErything starts with EV"
➕➖
Positive = Good, Negative = Bad
For CV and SV: positive = good (under budget / ahead of schedule), negative = bad. For CPI and SPI: >1 = good, <1 = bad. Consistent rule — never flip it.
"In the green = positive or above 1"
🌳
WBS 100% Rule
The WBS must capture ALL project scope — nothing missing, nothing extra. If work isn't in the WBS, it isn't funded, scheduled, or managed. PM work (status reports, meetings) is also in-scope and belongs in the WBS.
"No WBS node = no budget, no schedule"
💥
Crash vs Fast Track
Crashing = money (add resources, costs more, lower risk). Fast tracking = risk (overlap activities, no extra cost, but rework danger). Budget available → crash. No budget → fast track and accept rework risk.
"CRASH the budget, FAST TRACK the risk"
🎯
Float = Zero = Critical
Critical path = longest path = zero float. Float = LS−ES = LF−EF. Any delay on a zero-float activity delays the project end date. Negative float means you're already late. Free float = delay without affecting a successor.
"Zero slack = no room to slack off"
💰
EAC = BAC ÷ CPI (Default)
Unless told otherwise on the exam, use EAC = BAC ÷ CPI (current efficiency continues). If asked "what if remaining work is done at planned rate," use AC + (BAC − EV). If bottom-up re-estimate, use AC + ETC.
"Three EAC formulas: CPI-based (default), re-plan, re-estimate"
📦
Scope Baseline = 3 Docs
Scope Statement + WBS + WBS Dictionary = Scope Baseline. Not the charter (that's authorization). Not the requirements (those feed the scope statement). The WBS Dictionary is what makes the WBS actionable.
"Statement + Structure + Dictionary = Baseline"
🏦
Reserve: Contingency vs Management
Contingency reserve (inside cost baseline) = known unknowns (identified risks). PM can access. Management reserve (outside cost baseline, part of BAC) = unknown unknowns. Requires sponsor approval to access.
"Known = PM access; Unknown = sponsor approval"
🃏 Flashcards — Click to Flip
Formula

CPI Formula & Meaning

Tap to reveal
Answer

CPI = EV ÷ AC
>1 = under budget · <1 = over budget

Formula

EAC when current CPI continues

Tap to reveal
Answer

EAC = BAC ÷ CPI
(Most common PMP exam version)

Concept

What is Float (Total Float)?

Tap to reveal
Answer

Float = LS − ES = LF − EF
Time activity can be delayed without delaying project end

Rule

WBS 100% Rule

Tap to reveal
Answer

WBS must contain 100% of project scope — nothing missing, nothing outside scope

Formula

TCPI Formula

Tap to reveal
Answer

(BAC − EV) ÷ (BAC − AC)
>1 = must be MORE efficient; <1 = on track

Compare

Crashing vs Fast Tracking

Tap to reveal
Answer

Crashing: add resources → costs more, lower risk
Fast Tracking: overlap activities → more risk, less cost

Concept

Scope Baseline Components

Tap to reveal
Answer

Project Scope Statement + WBS + WBS Dictionary
(NOT the project charter)

Formula

Schedule Variance (SV)

Tap to reveal
Answer

SV = EV − PV
Positive = ahead of schedule · Negative = behind

🤖 Expert Advisor — Ask a Category
Scope & WBS
Critical Path & Float
EVM Formulas
Cost Estimating
Baselines & Change Control

📐 Scope & WBS

  • The WBS 100% rule: captures all deliverables including PM work — nothing inside the WBS is out of scope, and nothing in scope is missing from the WBS.
  • Scope baseline = Project Scope Statement + WBS + WBS Dictionary. All three together. The project charter is NOT part of the scope baseline.
  • Work package = lowest WBS level where cost and schedule can be estimated and controlled. Rule of thumb: 8–80 hours (not a hard rule on the exam).
  • Scope creep = uncontrolled scope growth without time/cost/resource adjustment. The correct response is always to submit a change request through integrated change control — not to simply refuse or silently absorb the work.
  • Gold plating = team adds unrequested features. Also prohibited — PM must deliver exactly what was agreed, and additional features should go through change control.
  • Scope validation (Monitoring & Controlling) = customer formally accepts deliverables. Quality control verifies correctness. QC happens first, then scope validation. Scope validation produces accepted deliverables; QC produces verified deliverables.

📅 Critical Path & Float

  • Critical path = longest duration path through the network = minimum project duration. Activities on the critical path have zero float.
  • Float (total float) = LS − ES = LF − EF. Amount of time an activity can slip without delaying the project end date.
  • Free float = amount an activity can slip without affecting the early start of its immediate successor (can be less than or equal to total float).
  • Negative float = project is behind. If a deadline is imposed that is earlier than the calculated project end, all activities on the critical path have negative float.
  • Forward pass: ES of first activity = 1 (or 0, depending on convention). EF = ES + Duration − 1. Next activity ES = previous EF + 1.
  • Crashing targets critical path activities only — specifically those with the lowest crash cost per day saved. Fast tracking only works on activities that have discretionary (soft) dependencies that can be overlapped.

📊 EVM Formulas

  • Three inputs first, always: PV (planned value), EV (earned value), AC (actual cost). EV = % complete × BAC.
  • CV = EV − AC (positive = under budget). SV = EV − PV (positive = ahead of schedule).
  • CPI = EV ÷ AC (>1 = under budget). SPI = EV ÷ PV (>1 = ahead of schedule).
  • EAC variants: BAC ÷ CPI (current trend continues — most tested). AC + (BAC − EV) (remaining at planned rate). AC + ETC (bottom-up re-estimate). AC + [(BAC−EV)÷(CPI×SPI)] (both cost and schedule affect forecast).
  • ETC = EAC − AC (how much more money needed from today). VAC = BAC − EAC (negative = will finish over budget).
  • TCPI = (BAC − EV) ÷ (BAC − AC). Greater than 1 = must be MORE efficient going forward. A TCPI significantly above current CPI indicates the BAC is unachievable — escalate to management.

💰 Cost Estimating

  • Analogous (top-down): Uses expert judgment + historical data from similar projects. Fastest, least accurate. Range: −25% to +75%. Used in early planning / initiation.
  • Parametric: Statistical model — unit cost × quantity. Accuracy depends on model quality. Range: −10% to +25%. More reliable when the relationship is well-calibrated.
  • Bottom-up: Estimate each work package individually, roll up. Most accurate, most time-consuming. Range: −5% to +10%. Used in detailed planning.
  • Three-point (PERT): Expected = (Optimistic + 4×Most Likely + Pessimistic) ÷ 6. Accounts for uncertainty. Standard deviation = (P − O) ÷ 6.
  • Reserve analysis: contingency reserve covers identified risks (known unknowns) and is inside the cost baseline. Management reserve covers unidentified risks (unknown unknowns) and is outside the baseline but inside BAC.
  • ROM (Rough Order of Magnitude) is NOT a formal estimate type — it's a ballpark figure used before detailed planning begins, typically in the project charter.

🔗 Baselines & Change Control

  • Three baselines: scope baseline (scope statement + WBS + WBS dictionary), schedule baseline (approved schedule), cost baseline (time-phased approved budget, excluding management reserve).
  • Cost baseline + management reserve = Budget at Completion (BAC). EVM measures against the cost baseline, not BAC.
  • No PM can unilaterally change a baseline. All changes go through integrated change control → Change Control Board (CCB) → approved change requests → updated baselines.
  • Contingency reserve is INSIDE the cost baseline — PM can access it for identified risks without sponsor approval. Management reserve is OUTSIDE the cost baseline — requires sponsor/sponsor approval to access.
  • The Performance Measurement Baseline (PMB) = scope + schedule + cost baselines together. This is what EVM measures against.
  • When a stakeholder requests scope change mid-project, the correct action is: evaluate impact, submit a formal change request, present impact to CCB, update baselines if approved — never absorb scope changes informally.
Unlock Full Practice Tests on FlashGenius →