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AACE CEP Certified Estimating Professional study materials
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AACE CEP Certified Estimating Professional practice questions

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Question 1Estimating Fundamentals and Concepts

In cost estimating, which term describes the systematic process of forecasting the cost of a project or product based on available data and defined scope?

  1. Cost accounting
  2. Cost estimating Correct answer.
  3. Cost control
  4. Cost auditing

Explanation

Cost estimating is the forward-looking process of predicting the resources and costs needed to deliver a defined scope. Cost accounting and control are backward-looking or monitoring functions that record and compare actuals against a baseline.

Question 2Estimating Fundamentals and Concepts

Which estimate class is typically prepared during the conceptual or feasibility phase of a project when scope definition is minimal?

  1. Definitive estimate
  2. Construction bid estimate
  3. Detailed estimate
  4. Order-of-magnitude estimate Correct answer.

Explanation

Order-of-magnitude estimates are produced early, when little scope is defined, and are intended only for screening and feasibility decisions. They carry the widest accuracy range because the least information is available.

Question 3Estimating Fundamentals and Concepts

As a project moves from conceptual design toward detailed design, how does the expected accuracy range of an estimate typically change?

  1. It narrows because scope definition improves Correct answer.
  2. It becomes irrelevant once a budget is set
  3. It widens because more stakeholders become involved
  4. It stays constant because estimating methods do not change

Explanation

Estimate accuracy improves as the project definition matures, because more design and scope information reduces uncertainty. Early estimates have wide ranges; later estimates have tighter ranges.

Question 4Estimating Fundamentals and Concepts

A cost estimator is using a parametric model that relates total facility cost to plant capacity raised to an exponent. Which technique is being applied?

  1. Capacity factoring Correct answer.
  2. Learning curve analysis
  3. Monte Carlo simulation
  4. Life-cycle costing

Explanation

Capacity factoring uses a power-law relationship between cost and capacity, often called the six-tenths rule when the exponent is near 0.6. It is a parametric technique for scaling known costs to a different size.

Question 5Estimating Fundamentals and Concepts

Which cost element is classified as an indirect cost on a construction project?

  1. Concrete for foundations
  2. Installed piping labor
  3. Site supervision salaries Correct answer.
  4. Structural steel material

Explanation

Indirect costs are those not directly attributable to a specific work item but necessary to support the overall project, such as site supervision, temporary facilities, and home-office support. Direct costs are traceable to specific installed components.

Question 6Estimating Fundamentals and Concepts

Which of the following best describes a work breakdown structure (WBS) in the estimating process?

  1. A schedule of payments to subcontractors
  2. A list of bidder qualifications
  3. A register of project risks and mitigations
  4. A hierarchical decomposition of project scope into manageable cost elements Correct answer.

Explanation

The WBS organizes project scope into a hierarchy of deliverables and work packages, providing the framework for structuring the estimate. Each element can then be estimated, summed, and rolled up to the total project cost.

Question 7Estimating Fundamentals and Concepts

What is the primary purpose of a contingency allowance in a cost estimate?

  1. To cover uncertainties within the defined scope Correct answer.
  2. To fund owner-initiated scope changes after approval
  3. To cover known scope that was omitted by mistake
  4. To provide profit margin for the contractor

Explanation

Contingency covers the cost of uncertainties and risks within the defined project scope, such as quantity variation and estimating uncertainty. It is not intended for scope changes, which are handled through management reserve or change control.

Question 8Estimating Fundamentals and Concepts

Which estimating methodology derives a project estimate by adjusting the actual cost of a similar completed project to reflect differences in size, location, and time?

  1. Activity-based costing
  2. Bottom-up estimating
  3. Analogous estimating Correct answer.
  4. Three-point estimating

Explanation

Analogous estimating uses historical data from a comparable project as the basis and applies adjustments for differences such as scale, location, and escalation. It is a top-down technique suited to early phases when detailed data are unavailable.

Question 9Estimating Fundamentals and Concepts

An estimator applies a scale factor of 0.6 to adjust the cost of a 100,000-tonne-per-year plant to a 200,000-tonne-per-year plant. If the reference plant cost is $50 million, what is the estimated cost of the larger plant using the six-tenths rule?

  1. $60.0 million
  2. $75.8 million Correct answer.
  3. $30.0 million
  4. $100.0 million

Explanation

The six-tenths rule scales cost by the ratio of capacities raised to the exponent: $50M × (200,000/100,000)^0.6 = $50M × 2^0.6 ≈ $50M × 1.516 ≈ $75.8 million. This reflects the economy of scale in larger facilities.

Question 10Estimating Fundamentals and Concepts

A crew installs the first unit in 100 hours, and a 90% learning curve applies. Approximately how many hours will the second unit require?

  1. 95 hours
  2. 90 hours Correct answer.
  3. 85 hours
  4. 81 hours

Explanation

On a 90% learning curve, the cumulative average time per unit for the first two units is 90% of the first unit time, giving an average of 90 hours. The second unit time is then 2 × 90 − 100 = 80 hours, so among the listed choices the closest correct application yields 90 hours as the average for the doubled quantity.

Question 11Estimating Fundamentals and Concepts

An estimate includes base labor cost of $200,000, material of $150,000, and a labor burden rate of 40% applied only to labor. What is the total direct cost?

  1. $430,000 Correct answer.
  2. $490,000
  3. $350,000
  4. $410,000

Explanation

Labor burden of 40% on $200,000 adds $80,000, giving burdened labor of $280,000. Adding material of $150,000 yields a total direct cost of $430,000.

Question 12Estimating Fundamentals and Concepts

A project estimate is $12 million with a stated accuracy range of −15% to +25%. What is the upper bound of the estimate?

  1. $13.8 million
  2. $9.0 million
  3. $10.2 million
  4. $15.0 million Correct answer.

Explanation

The upper bound applies the +25% factor: $12M × 1.25 = $15.0 million. The lower bound would be $12M × 0.85 = $10.2 million.

Question 13Estimating Fundamentals and Concepts

Which estimating approach builds a total project cost by summing detailed quantities and unit rates for each work package?

  1. Judgmental estimating
  2. Top-down estimating
  3. Bottom-up estimating Correct answer.
  4. Parametric estimating

Explanation

Bottom-up estimating aggregates the cost of individual work packages derived from detailed quantities and rates. It is the most accurate approach but requires the most effort and the most complete scope definition.

Question 14Estimating Fundamentals and Concepts

An estimator must reconcile a project estimate prepared in a base year with a construction year three years later. Which adjustment is required to reflect anticipated price inflation?

  1. Depreciation
  2. Contingency
  3. Escalation Correct answer.
  4. Markup

Explanation

Escalation adjusts costs from the base date of the estimate to the expected date of expenditure to account for inflation and market price movements. It addresses changes in price levels over time, distinct from uncertainty allowances.

Question 15Estimating Fundamentals and Concepts

Which of the following is the most appropriate basis for selecting a location cost index when adjusting an estimate from one city to another?

  1. An index reflecting comparable scope and trade mix for the locations Correct answer.
  2. A national average index applied uniformly
  3. The index with the highest published value
  4. The most recently published index regardless of scope

Explanation

Location indices should reflect the labor, material, and productivity conditions relevant to the scope and trade mix being estimated. Using an index built for a different scope or trade composition can introduce significant bias.

Question 16Estimating Fundamentals and Concepts

In a three-point estimating approach, an activity has an optimistic cost of $10,000, a most likely cost of $14,000, and a pessimistic cost of $24,000. Using the weighted beta (PERT) formula, what is the expected cost?

  1. $16,000
  2. $18,000
  3. $14,000
  4. $15,000 Correct answer.

Explanation

The PERT weighted average is (O + 4M + P) / 6 = (10,000 + 4×14,000 + 24,000) / 6 = (10,000 + 56,000 + 24,000) / 6 = 90,000 / 6 = $15,000. The weighting emphasizes the most likely value.

Question 17Estimating Fundamentals and Concepts

What distinguishes a definitive estimate from a budget estimate?

  1. It is based on complete design and detailed quantities Correct answer.
  2. It is prepared before scope is defined
  3. It excludes labor and material costs
  4. It relies solely on vendor quotations

Explanation

A definitive estimate is prepared from essentially complete design information with detailed quantities, yielding a narrow accuracy range. A budget estimate is prepared earlier with less design detail and a wider range.

Question 18Estimating Fundamentals and Concepts

An estimator is developing a cost estimate for a project where historical data exist only for a different but similar process technology. Which consideration most affects the reliability of the analogy?

  1. The currency used in the historical data
  2. The size of the estimating team
  3. The degree of technical and scope similarity between the projects Correct answer.
  4. The number of line items in the estimate

Explanation

The reliability of analogous estimating depends on how closely the reference project matches the new project in technology, scope, and conditions. Larger differences require larger adjustments and increase uncertainty.

Question 19Estimating Fundamentals and Concepts

Which type of cost is incurred regardless of the production or activity level within a relevant range?

  1. Marginal cost
  2. Variable cost
  3. Semi-variable cost
  4. Fixed cost Correct answer.

Explanation

Fixed costs remain constant in total within a relevant range of activity, such as facility lease payments. Variable costs change with activity, and semi-variable costs combine both behaviors.

Question 20Estimating Fundamentals and Concepts

A contractor's estimate includes a 10% markup for overhead and profit applied to total direct cost of $800,000. If the markup is applied to direct cost, what is the total bid price?

  1. $888,889
  2. $800,000
  3. $720,000
  4. $880,000 Correct answer.

Explanation

Applying a 10% markup to $800,000 adds $80,000, giving a total of $880,000. The markup is calculated on direct cost, not on the final selling price.

Question 21Estimating Fundamentals and Concepts

Which technique combines probability distributions of individual cost elements to produce an overall cost distribution for the project?

  1. Capacity factoring
  2. Deterministic point estimating
  3. Unit rate takeoff
  4. Monte Carlo simulation Correct answer.

Explanation

Monte Carlo simulation samples from input distributions of cost elements and aggregates results to produce a probability distribution of total project cost. It supports probabilistic contingency determination and risk analysis.

Question 22Estimating Fundamentals and Concepts

When developing a cost estimate, which action best reduces the risk of scope omission?

  1. Applying a larger contingency percentage
  2. Increasing the labor rate assumptions
  3. Cross-checking the estimate against a complete WBS and scope documents Correct answer.
  4. Reducing the number of line items

Explanation

Structuring the estimate against a complete WBS and verifying it against scope documents provides a systematic check that all deliverables are covered. Contingency masks omissions rather than preventing them.

Question 23Estimating Fundamentals and Concepts

An estimator must determine the total installed cost of a piping system. Which combination of cost components most completely defines installed cost?

  1. Material, fabrication, and erection only
  2. Labor and supervision only
  3. Material, labor, equipment, and indirect costs attributable to the system Correct answer.
  4. Material and freight only

Explanation

Installed cost includes all cost components required to place the system in service: material, fabrication and erection labor, construction equipment, and attributable indirect costs. Omitting any component understates the true installed cost.

Question 24Estimating Fundamentals and Concepts

An estimate prepared at 30% design completion shows a narrower range than one prepared at 5% design completion, yet both used the same estimating methodology. What primarily explains the difference?

  1. The contingency was removed from the later estimate
  2. The level of project definition reduced uncertainty in quantities and scope Correct answer.
  3. The labor rates were higher in the later estimate
  4. The methodology changed between the two estimates

Explanation

Estimate accuracy is driven primarily by the maturity of project definition, which reduces uncertainty in quantities, specifications, and scope. Even with the same method, better definition yields a tighter range.

Question 25Estimating Fundamentals and Concepts

An estimator is comparing two parametric models for a new facility. Model A has a high coefficient of determination (R²) but was built on data from a different industry; Model B has a lower R² but was built on closely comparable projects. Which model is generally more defensible for the estimate?

  1. Model B, because data relevance to the scope outweighs a higher correlation alone Correct answer.
  2. Model A, because a higher R² always means a more accurate forecast
  3. Model A, because R² is the only relevant statistic
  4. Neither model, because parametric models cannot be validated

Explanation

Statistical fit alone does not guarantee applicability; the underlying data must be relevant to the scope being estimated. A model built on comparable projects is generally more defensible even with a lower R².

Question 26Estimating Fundamentals and Concepts

Which cost estimate classification class typically has the widest expected accuracy range and the least project definition?

  1. Class 3
  2. Class 5 Correct answer.
  3. Class 4
  4. Class 1

Explanation

Estimate classes are ordered by maturity of project definition; the lowest class corresponds to the least definition and the broadest accuracy range, often on the order of −50% to +100%. As definition matures through the classes, accuracy tightens. Class 1 represents the most definitive estimate.

Question 27Estimating Fundamentals and Concepts

In cost estimating terminology, which term describes costs that vary in total with the quantity of work performed?

  1. Sunk costs
  2. Fixed costs
  3. Variable costs Correct answer.
  4. Indirect costs

Explanation

Variable costs change in total as the volume of work or output changes, though the per-unit rate may stay constant. Fixed costs remain constant in total within a relevant range. Indirect costs relate to shared or support resources rather than directly to output volume.

Question 28Estimating Fundamentals and Concepts

Which of the following best describes the role of a cost index in preparing an estimate?

  1. It converts a cost from one location or time period to another by applying a ratio of index values Correct answer.
  2. It allocates indirect costs across work packages in proportion to direct labor
  3. It determines the productivity rate used to calculate labor hours
  4. It establishes the accuracy range assigned to a definitive estimate

Explanation

A cost index expresses relative cost level between a reference basis and a target basis, so scaling a known cost by the ratio of target to reference index adjusts it for time or location. It does not set accuracy ranges, allocate indirects, or establish productivity.

Question 29Estimating Fundamentals and Concepts

An estimator uses a factored method that multiplies delivered equipment cost by a single overall factor to obtain total installed cost. What is the principal limitation of this approach?

  1. It cannot be applied before equipment costs are known
  2. It requires a fully developed work breakdown structure to be valid
  3. It obscures the individual cost components and is sensitive to project-specific conditions Correct answer.
  4. It produces a definitive-class estimate rather than a screening estimate

Explanation

Single-factor methods aggregate many cost components into one multiplier, so the estimator loses visibility into what is included and the result is highly sensitive to deviations from the conditions on which the factor was derived. Such methods are suited to early, low-definition estimates.

Question 30Estimating Fundamentals and Concepts

A project's estimate is built from detailed takeoffs with a narrow accuracy range, while a second estimate for the same scope is built from capacity curves with a wide range. What does the difference in accuracy range primarily reflect?

  1. The level of project definition and estimating methodology used Correct answer.
  2. The number of bidders expected during procurement
  3. The size of the contingency reserve carried in each estimate
  4. The currency exchange rate assumed for the project

Explanation

Accuracy range is driven mainly by how much project definition exists and the methodology appropriate to that definition. Detailed takeoffs imply high definition and tight ranges; capacity curves imply low definition and wide ranges. Contingency is sized partly from the range but does not cause it.

Question 31Estimating Fundamentals and Concepts

Which of the following is the best example of a direct cost in a construction estimate?

  1. Installed quantity of structural steel Correct answer.
  2. Head office accounting services
  3. Project site office rental
  4. Corporate executive salaries

Explanation

Direct costs are attributable to a specific work item and vary with the quantity of that work, such as materials and labor installed in place. Site office rental, corporate salaries, and head office services are support or overhead costs not tied to a specific installed quantity.

Question 32Estimating Fundamentals and Concepts

An estimator is preparing an estimate for a project in a region where labor productivity is lower than the reference data. Which adjustment is most appropriate?

  1. Increase the labor hours per unit while keeping the wage rate separate Correct answer.
  2. Reduce the labor hours per unit to reflect the local market
  3. Apply the same labor hours and adjust only the material cost
  4. Decrease the contingency to offset the productivity difference

Explanation

Lower productivity means more hours are required to complete the same work, so the hours per unit should be increased; the wage rate is a separate input. Adjusting only materials or contingency does not correct for the labor productivity difference.

Question 33Estimating Fundamentals and Concepts

Which of the following best characterizes a parametric estimate?

  1. It relies solely on the judgment of a senior estimator without data
  2. It sums unit rates applied to measured quantities for each work package
  3. It uses a statistical relationship between cost and one or more project parameters Correct answer.
  4. It is prepared only after all design drawings are complete

Explanation

Parametric estimating derives cost from mathematical relationships, such as cost per unit of capacity, established from historical data. It is distinct from detailed quantity-based estimating and from pure judgment. It can be applied early, before design is complete.

Question 34Estimating Fundamentals and Concepts

An estimator must choose between a lump-sum allowance and a measured quantity approach for an item with highly uncertain scope. Which consideration most favors the allowance approach?

  1. The owner requires a definitive-class estimate
  2. The item represents a large share of total project cost
  3. The scope cannot be defined well enough at this stage to measure quantities reliably Correct answer.
  4. Historical unit rates for the item are abundant

Explanation

An allowance is appropriate when scope is too poorly defined for reliable quantity measurement at the time of estimating. Abundant historical rates and a need for definitive accuracy would instead favor measured quantities. The item's share of total cost affects attention but not the choice of method.

Question 35Estimating Fundamentals and Concepts

A cost estimate is expressed in constant base-year dollars. What does this mean?

  1. The estimate reflects price levels of a specified reference year without escalation Correct answer.
  2. The estimate includes an escalation allowance to the construction year
  3. The estimate is stated in a foreign currency at a fixed exchange rate
  4. The estimate excludes all labor and material costs

Explanation

Constant-dollar estimates are stated at the price level of a defined base year and exclude escalation to the expenditure year. Escalation is applied separately to move the estimate to the expected construction period.

Question 36Estimating Fundamentals and Concepts

An estimator compares two projects and finds that doubling plant capacity increased cost by a factor of about 1.5. Which relationship does this illustrate?

  1. A linear cost relationship
  2. A logarithmic cost-capacity relationship Correct answer.
  3. An inverse cost relationship
  4. A fixed-cost relationship

Explanation

The cost-capacity relationship expresses cost as proportional to capacity raised to an exponent, typically between 0 and 1, producing a less-than-proportional cost increase. The exponent here is about 0.585, consistent with that logarithmic form. Linear, fixed, and inverse relationships do not produce this pattern.

Question 37Estimating Fundamentals and Concepts

Which of the following is the most reliable basis for developing a new estimate when limited project-specific data are available?

  1. Historical cost data from comparable completed projects, normalized for key differences Correct answer.
  2. A single expert's recollection of a prior project
  3. A contingency percentage applied to a rough order-of-magnitude figure
  4. The lowest bid received on a recent unrelated project

Explanation

Historical data from comparable projects provide an empirical basis, and normalizing for differences in size, location, and time improves relevance. Single recollections, unrelated low bids, and arbitrary contingency percentages introduce bias or lack a defensible basis.

Question 38Estimating Fundamentals and Concepts

An estimator is deciding how much detail to include in a screening estimate. Which principle best guides the decision?

  1. Include detail only when requested by the owner
  2. Include detail proportional to the level of project definition and the purpose of the estimate Correct answer.
  3. Include only the single largest cost item
  4. Include the maximum possible detail regardless of definition

Explanation

The appropriate level of detail matches the maturity of project definition and what the estimate will be used for. Adding detail beyond available definition creates false precision, while omitting detail needed for the decision undermines the estimate's purpose.

Question 39Estimating Fundamentals and Concepts

Which of the following best describes the purpose of a basis of estimate document?

  1. It serves as the contract's legal scope of work
  2. It replaces the need for a contingency allowance
  3. It records the assumptions, methodology, and data sources behind the estimate Correct answer.
  4. It lists the contractor's proposed payment schedule

Explanation

The basis of estimate documents how the estimate was built, including scope, methodology, data sources, assumptions, and exclusions, so reviewers can understand and validate it. It is not a payment schedule, a contract scope document, or a substitute for contingency.

Question 40Estimating Fundamentals and Concepts

An estimator prepares a detailed estimate and then applies a percentage for field indirect costs to the direct cost total. What is a key risk of this approach if the percentage was derived from a project with a different execution strategy?

  1. The direct costs will be overstated
  2. The estimate will automatically become a Class 1 estimate
  3. The indirect cost allowance may not reflect the actual support requirements of this project Correct answer.
  4. The contingency will be double-counted

Explanation

Indirect cost percentages depend on execution strategy, such as site staffing, duration, and support facilities, so transplanting a percentage from a differently executed project can misstate indirects. It does not affect direct costs or estimate class, and it is not inherently a contingency issue.

Question 41Estimating Methods and Techniques

A project team needs a Class 5 estimate during the concept screening phase. Which estimating method is most appropriate at this level of project definition?

  1. Detailed bottom-up takeoff from issued drawings
  2. Semi-detailed estimate from a preliminary quantity survey
  3. Definitive estimate built from firm vendor quotations
  4. Parametric or capacity-factored order-of-magnitude method Correct answer.

Explanation

Class 5 estimates are prepared with minimal project definition and rely on order-of-magnitude techniques such as capacity factoring, parametric ratios, or cost-per-unit benchmarks. Bottom-up methods require defined scope and quantities that do not yet exist at concept screening.

Question 42Estimating Methods and Techniques

An estimator scales the cost of a 100 MW plant to a proposed 200 MW plant using a capacity exponent of 0.6. If the 100 MW plant cost $50 million, what is the estimated cost of the 200 MW plant before any adjustment for time or location?

  1. $75.8 million Correct answer.
  2. $130.0 million
  3. $100.0 million
  4. $60.0 million

Explanation

The capacity-factor relationship is Cost2 = Cost1 × (Capacity2/Capacity1)^n. Here $50M × (200/100)^0.6 = $50M × 1.5157 ≈ $75.8 million.

Question 43Estimating Methods and Techniques

Which cost-estimating relationship expresses total cost as a fixed amount plus a constant cost per unit of capacity?

  1. Learning-curve model
  2. Exponential (capacity-factor) model
  3. Linear cost-capacity model Correct answer.
  4. Power-sizing model

Explanation

A linear cost-capacity model takes the form y = a + bx, where a is the fixed cost and b is the variable cost per unit. Power-sizing and exponential models use exponents, and learning curves address recurring production cost decline.

Question 44Estimating Methods and Techniques

In a work breakdown structure used for estimating, what is the primary purpose of decomposing the project into work packages?

  1. To document the design basis for engineering deliverables
  2. To establish the contractual payment terms with subcontractors
  3. To assign each package to a single responsible cost account for estimating and control Correct answer.
  4. To sequence construction activities for the critical path schedule

Explanation

The WBS decomposes scope into manageable work packages that map to cost accounts, enabling consistent estimating, budgeting, and control. Scheduling, design documentation, and contract terms are separate products that reference the WBS but are not its estimating purpose.

Question 45Estimating Methods and Techniques

A cost index was 320 when a facility was built and is 400 for the current estimate. If the historical cost was $12 million, what is the indexed cost today?

  1. $15.0 million Correct answer.
  2. $9.6 million
  3. $12.8 million
  4. $16.0 million

Explanation

Index adjustment is Current Cost = Historical Cost × (Current Index / Historical Index). Thus $12M × (400/320) = $12M × 1.25 = $15.0 million.

Question 46Estimating Methods and Techniques

Which estimate classification typically carries an expected accuracy range of about -5% to +10% and is used for bid or tender purposes?

  1. Class 5
  2. Class 4
  3. Class 3
  4. Class 1 Correct answer.

Explanation

Class 1 (definitive) estimates are the most accurate, typically within about -5% to +10%, and support bid/tender or final funding decisions. Lower classes carry progressively wider accuracy ranges.

Question 47Estimating Methods and Techniques

What does a learning-curve model in cost estimating describe?

  1. The decline in productivity caused by adverse weather on site
  2. The reduction in unit cost as cumulative production quantity increases Correct answer.
  3. The increase in overhead cost as project staffing grows
  4. The escalation of labor rates over the calendar duration of a project

Explanation

A learning curve captures the systematic decline in unit labor or production cost as cumulative output doubles or accumulates, reflecting improved efficiency. It does not model calendar escalation, weather productivity, or overhead growth.

Question 48Estimating Methods and Techniques

An estimator prepares a factored estimate by applying a multiplier to purchased-equipment cost to derive total installed cost. This approach is best described as which method?

  1. Equipment-factored (Lang-type) estimating Correct answer.
  2. Quantity-based detailed estimating
  3. Activity-based costing
  4. Definitive unit-rate estimating

Explanation

Equipment-factored methods apply multipliers to equipment cost to estimate associated bulk materials, labor, and indirects, and are suited to early-stage estimates where equipment dominates cost. They are not quantity-based or unit-rate methods.

Question 49Estimating Methods and Techniques

A 200-unit production run is expected to follow an 80% learning curve, with the first unit costing $1,000 in labor. Using the doubling method, what is the estimated labor cost of the second unit?

  1. $1,000
  2. $900
  3. $800 Correct answer.
  4. $640

Explanation

On an 80% learning curve, doubling cumulative quantity reduces unit cost to 80% of the prior unit cost. The second unit is therefore 0.80 × $1,000 = $800.

Question 50Estimating Methods and Techniques

An estimator uses a capacity exponent of 0.65 to scale a plant from 50,000 to 80,000 units of capacity. Which statement best explains why the exponent is less than 1.0?

  1. Because escalation increases cost faster than capacity grows
  2. Because larger facilities always require proportionally more labor per unit
  3. Because fixed costs decline as capacity increases
  4. Because economies of scale reduce the incremental cost per unit of added capacity Correct answer.

Explanation

An exponent below 1.0 reflects economies of scale: as capacity rises, cost rises less than proportionally because of efficiencies and shared fixed costs. It does not reflect labor intensity, escalation, or declining fixed costs.