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Cost Estimation in Aircraft Design Questions and Answers

41.

Statement I: Discounting reduces the weight given to costs far in the future.

Statement II: A sum spent in twenty years has a lower present value than the same sum spent today.

In the light of the above statements, choose the correct answer.

Answer: A

Correct answer: Both Statement I and Statement II are correct

Both statements are correct, and the second is simply the first stated concretely. Discounting converts future sums to present value by dividing by \( (1+r)^n \), so the further away a cost lies the less weight it carries in today's decision.

At 7 per cent, a sum twenty years away is worth about a quarter of its face value. This has a real consequence for life cycle cost analysis: it systematically favours designs with low acquisition cost over those with low operating cost, and the discount rate chosen can decide a trade study on its own.

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42.

Statement I: Empty weight is the single most influential design variable in parametric cost estimation.

Statement II: Engineering, tooling and manufacturing hours are all correlated with empty weight.

In the light of the above statements, choose the correct answer.

Answer: B

Correct answer: Both Statement I and Statement II are correct

Both statements are correct and the second explains the first. In the parametric relations, engineering hours, tooling hours and manufacturing hours are each fitted as a power of empty weight - so a single variable drives all three of the largest cost elements at once.

That makes empty weight the most influential design variable in cost estimation, and it reinforces its influence on operating cost through fuel burn. Weight reduction is therefore the design change that pays on both sides of the life cycle, which is why so much effort is devoted to it.

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43.

Arrange the life cycle cost elements in the order they are incurred:

1. Production

2. Research, development, test and evaluation

3. Disposal

4. Operation and support

Select the correct sequence.

Answer: C

Correct answer: 2, 1, 4, 3

The elements follow the programme's life. Research, development, test and evaluation (2) comes first, before any aircraft is delivered. Production (1) follows, and overlaps the early operating period as the run continues.

Operation and support (4) begins with the first delivery and continues for decades, accumulating the largest share of the total. Disposal (3) comes last, at retirement - a small element for a transport, but a substantial one for aircraft with hazardous materials or classified equipment to be dealt with.

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44.

Arrange the steps of a parametric cost estimate in order:

1. Apply the learning curve across the production run

2. Estimate empty weight and performance from the design

3. Amortise development cost over the planned quantity

4. Compute engineering, tooling and manufacturing hours

Select the correct sequence.

Answer: D

Correct answer: 2, 4, 1, 3

Each step supplies the input to the next. Empty weight and performance are estimated from the design (2), since they are what the cost relations take as arguments. Engineering, tooling and manufacturing hours are then computed from them (4).

The learning curve is applied across the production run (1) to give the cost of each successive aircraft rather than of a notional first unit. Finally the development cost is amortised over the planned quantity (3) and added, giving the cost each aircraft must recover.

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45.

Arrange these quantities in ascending order of typical share of a transport's life cycle cost:

1. Production

2. Disposal

3. Operation and support

4. Research and development

Select the correct sequence.

Answer: A

Correct answer: 2, 4, 1, 3

In ascending order of share: disposal (2) is smallest, usually a small percentage of the total for a transport. Research and development (4) comes next - large in absolute terms but spread over the whole production run.

Production (1) is larger still, and operation and support (3) is the largest of all, since fuel, crew, maintenance and fees accumulate over twenty-five or thirty years of service. That ordering is the central fact of life cycle costing, and the reason design trades favour operating economy over acquisition price.

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46.

Arrange the causal chain by which a weight saving reduces cost:

1. Empty weight is reduced

2. Manufacturing hours and fuel burn both fall

3. Production cost and direct operating cost both fall

4. Life cycle cost falls

Select the correct sequence.

Answer: B

The saving works through two separate routes at once, which is why weight discipline is worth so much more than either effect alone would suggest. The chain runs outward from a single design decision to the whole life cycle cost.

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47.

Arrange the events of a programme reaching profitability:

1. Development costs are incurred

2. Early aircraft are delivered at high unit cost

3. Unit cost falls along the learning curve

4. Cumulative revenue passes cumulative cost at breakeven

Select the correct sequence.

Answer: C

Money goes out long before any comes in, the first aircraft are the most expensive to build, and only after the run is well advanced does the programme recover its development. Many technically fine aircraft never reach the last step.

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48.

Consider the following pairs of cost item and its category:

Depreciation - Fixed cost

Fuel - Variable cost

Landing fees - Variable cost

Insurance - Variable cost

How many of the pairs given above are correctly matched?

Answer: D

Correct answer: Only three

Three pairs are right. Depreciation is fixed, accruing with the calendar whether the aircraft flies or not; fuel is variable, consumed only in flight; and landing fees are variable, charged per movement.

The fourth is wrong. Insurance is a fixed cost - the hull and liability premium is set annually on the aircraft's value and the operator's record, and it is payable whether the aircraft flies a thousand hours or none. Applying the test - does it accrue if the aircraft stays on the ground? - settles each case.

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49.

Consider the following pairs of cost element and its principal driver:

Engineering hours - Empty weight and maximum speed

Tooling cost - Production rate and empty weight

Engine cost - Thrust and turbine inlet temperature

Fuel cost - Empty weight alone

How many of the pairs given above are correctly matched?

Answer: A

The first three name their drivers correctly. Fuel cost follows the mission, the aerodynamic efficiency and the fuel price as well as the weight, and no single design variable governs it in the way weight governs the others.

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50.

Consider the following pairs of term and its definition:

Life cycle cost - Total cost from concept to disposal

Breakeven quantity - Units at which cumulative revenue meets cumulative cost

Learning curve - Cost reduction per doubling of cumulative output

Direct operating cost - All costs including administration and marketing

How many of the pairs given above are correctly matched?

Answer: B

Correct answer: Only three

Three pairs are right. Life cycle cost is the total from concept to disposal; breakeven quantity is the number of units at which cumulative revenue meets cumulative cost; and a learning curve expresses the cost reduction per doubling of cumulative output.

The fourth is wrong. Direct operating cost covers only what it takes to fly the aircraft - fuel, crew, maintenance, depreciation, insurance, fees - and specifically excludes administration and marketing, which are indirect. The exclusion is what makes it a fair basis for comparing aircraft types.

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