Title: Lecture Notes
1- Lecture Notes
- ECON 437/837 ECONOMIC COST-BENEFIT ANALYSIS
- Lecture Ten
2MEASUREMENT OF COSTS AND BENEFITS OF
TRANSPORTATION INVESTMENTS
3Economic Benefits of Transportation Projects
1) Improvement of existing mode - Example of a
road 2) Introducing new modes of
transportation - Example of a Buenos
Aires-Colonia bridge
4Cost Benefit Analysis of Transportation Projects
-- Road Improvement Benefits --
- Cost Savings for Existing Traffic
- - Savings in Vehicle Operation and Maintenance
Costs - - Savings of Time
- Cost Savings for Newly Generated Traffic
5Cost Savings for Existing Traffic
6Cost Savings from Road Improvements
- Traffic Volume with Project the number of
vehicles by type that we expect each year to use
the road over its life after improvement - Traffic Volume without Project the volume of
vehicles by type that would travel on the road
without the road improvement - Vehicle Operating Costs Without the Project and
With the Project the costs incurred by road
users in terms of - - consumption of gasoline and oil
- - the wear-and-tear on tires
- - the repair expenditures for
vehicles -
7Traffic With Road Improvement
- Diverted Traffic The traffic that diverted to
the upgraded road from other routes as a result
of the road improvement. - Generated Traffic The traffic that will arise
from people who now made the trip more frequently
due to the reduction in the cost of using the
road.
8Savings of Time
- Normal traffic For passengers and trucks, the
improved road allows their vehicles to travel at
a higher speed as compared to the existing road,
thus saving them time. - Example Occupants of a vehicle value time at
20 per hour, vehicle speed is 30 kph - Time cost per km 20/30
0.66/km - If vehicle speed is 50 kph
- Time cost per km is 20/50
0.4/km - Value of Time Savings 0.66-0.4
0.26 per vehicle - km - The value of savings is tied to the value placed
on occupants time and therefore sensitive to the
level of per capita income of the country. - For Diverted and Generated passenger traffic, the
value of time savings is taken on average as half
of the value of time savings for normal traffic.
9Savings of Road Maintenance Expense
- The annual savings in resources used for
maintenance is the difference between the amount
of resources spent on maintenance without road
improvements minus the maintenance costs during
the life of the road with the improvement. - Road improvements or new roads will affect the
pattern of traffic on other roads that are
complements or substitutes to the road being
improved. - For complementary roads, the maintenance
requirements are expected to rise as the volume
of traffic accessing or exiting from the improved
roads increases. The increase in maintenance
costs on the complementary roads should be
included as a cost associated with the road
improvement project. - Substitute road maintenance expenses are expected
to decrease due to the lower traffic levels. The
cost savings are a benefit to the road
improvement.
10Accident Reduction
- A road improvement can be important factor in the
reduction of the number of accidents. - A road improvement may not automatically imply a
substantial reduction in the rate and severity of
accidents as there are other influencial aspects.
Some of these factors are the geometric alignment
of the road, the volume of traffic, effectiveness
of law enforcement, vehicles mechanical
conditions and drivers behavior. - Steps to assess the benefits of accidents
reduction - the rate of traffic accidents with and
without the proposed improvements must be
estimated. (Number of accidents per million
vehicle-kilometer) - the monetary value of accident reduction should
be estimated which includes the savings in
damages such as property and cargo damages. It is
difficult to put a monetary value on injuries and
fatalities.
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12Step Two Calculate the Average
Speed SitÆ’(Vt), where Sit is the average
speed of the ith vehicle type. Step Three
Estimate cit which is the average cost per
vehicle-mile at time t for vehicle type i on the
unimproved road. cit includes vehicle operating
costs, depreciation, maintenance and time
cost. Step Four Estimate cit which is the
average cost per vehicle-mile at time t for
vehicle type i on the improved road.
13Step Five Estimate the benefits of savings in
cost of travel due to road improvement in year t
and the present value of these benefits at
discount rate r
?(1r)-t ?(cit cit)Vit
t
i
Step Six Estimate M and M , which are the
annual road maintenance costs with and without
the road improvement.
t
t
14Step Seven Estimate the benefits of savings in
road maintenance cost due to road improvement in
year t, in some cases maintenance costs may rise
(Mt Mt)
Step Eight Estimate the present value of total
benefits due to improvement (when volume of
traffic remains constant after improvement)
?(1r)-t ?(cit cit)Vit ?(1r)-t(Mt Mt)
t
i
t
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18Externalities Involving Traffic on Other Roads
- Externalities can be
- Excess of marginal social cost over marginal
social benefit for traffic on roads - Excess of marginal social benefit over marginal
social cost for traffic on other modes such as
railroads. - Congestion impacts, a very important and
pervasive externality.
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25Introducing New Modes of Transportation Buenos
Aires Colonia Bridge Project
- The BAC Bridge will introduce a new mode of
traffic to the Buenos Aires-Colonia area
transportation for passengers and cargo crossing
the river. - - An alternative mode of crossing the river, a
ferry - - A long route for cargo
- Beneficiaries of the BAC bridge consist of
passengers diverted from ferry, newly induced
bridge river-crossing passengers, and cargo.
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27ANALYSIS OF THE PROJECT FROM ALTERNATIVE
VIEWPOINTS
28Key Factors Affecting the Project
- A BOT Project project life 30 years
- Construction costs
- - about US831 million in 1997 prices
- - construction begins in 1999 and last four
years - Volumes of freight and passenger traffic
- Competitive response by ferry operators
- Bridge tolls
- Project financing
- the initial debt/equity ratio is 65/35
- the long-term debt is denominated in US dollars,
and the interest rate is set at 7 real - - loan payment starts at the first year of the
bridges operation
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31Cargo International Traded Goods
32Cargo Regionally Traded Goods
33Benefits from Cost Reduction in Cargo
Transportation
- When the goods are internationally traded,
producers of the exporting country within the
region would benefit from the savings in
transportation or logistics cost between the two
neighboring countries. - In the case of regionally traded goods, producers
in the exporting country and consumers in the
importing country will share the benefit from
savings in transportation and logistics cost.
34Case Study Conclusions
- The project is financially viable as the real
rate of return on equity is in excess of 16. - ADSCR is larger than 1.9 for the option with
financing that requires debt be repaid over 15
years. - After paying the foreign concessionaire for the
investment, the project will make a substantial
contribution to the economies of Argentina and
Uruguay. - Producers in Brazil will also benefit for
international traded goods due to increased
shipments of these goods from Brazil to Argentina
via the bridge. - The big winners are bridge passengers in
Argentina and Uruguay. - Airline and ferry operators are losers because of
diversion of travelers to the bridge.
35Externalities Involving Railroad Traffic
36Externalities Involving Railroad Traffic
- The problems involved in the relationships
between road and rail transport can be complex,
given the difficulty of isolating the relevant
costs of rail transport. - Measuring Marginal Cost for Railroads
- - The marginal costs of carrying additional
passengers or freight on trains that are in any
event running are very low. - - The marginal costs of running additional
trains where the track and station facilities
will in any event be kept in working condition
are at an intermediate level. - - The marginal costs of providing rail service
on a stretch of track as against the alternative
of abandoning that stretch are higher still.
37Project of Road Improvement
Railroad
Road
DR(C1)
c0
DR(C0)
c1
MC3
DROAD
MC2
MC1
V0
V1
Consequences 1) traffic is diverted from rail
to road 2) the
railroad no longer has to bear the marginal cost
of carrying
diverted traffic
The net external effect will therefore almost
certainly be negative, and will be measured by
- is the fare or freight rate for the type of
rail traffic
- is the marginal cost associated with carrying
that traffic
- is the change in the volume, induced by the
road improvement
- type of traffic on the railroad
38Figure 1
Unit Cost of Travel on road
- the private unit costs of travel on the road
- before the improvement
- after the improvement
M
P
N
- the demand curve for services of the road
- on the assumption that the railroad is operating
- and charging the fare level OF (from Figure 2)
R
- the demand curve for the services of the road
- assuming the railroad has been abandoned
- the initial levels of unit costs and traffic
- volume on the road
Volume of traffic on road
Figure 2
- the equilibrium levels after the road has been
improved but before railway abandoned
- the equilibrium levels after the road
- has been improved and the railroad abandoned
Fare
G
J
F
-the demand curve for services of the railroad
on the assumption that there is no improvement
on the road
- the demand curve for services of the railroad
after improvement on the road
H
I
O
Traffic level on railroad
39Unit Cost of Travel on road
M
P
N
R
Volume of traffic on road
- the measure of direct benefits
M
N
- the benefit perceived by traffic that would
have used the unimproved road in any event
M
R
- represents the net benefit perceived by those
who would not have used the road at unit cost
of C1, but who would have it at unit cost of C2.
MNR
- represents cost incurred in the road by traffic
because of the abandoned railroad.
NPV2V2
40Figure 1
Unit Cost of Travel on road
SUMMARY
M
a) The present values of cost savings to the
users of the road (represented
by area )
P
N
M
N
R
less b) The present value of those private net
costs associated with
abandonment of the railroad
(represented by FD4G)
Volume of traffic on road
less c) The present value of the excess of rail
fares over the direct marginal
costs of operation plus d) The present value of
the savings stemming lower
equipment, maintenance, station operation
costs, and so forth, for the
railroad plus e) The current market value in
alternative uses of the
properties to be abandoned
Figure 2
Fare
G
J
F
MC
H
I
O
Traffic level on railroad
41COSTS AND BENEFITS OF ELECTRICITY INVESTMENTS
42Economic Valuation of Additional Electricity
Supply
- Willingness to pay for new connections
- Willingness to pay for more reliable service
- Resource cost savings from replacement of more
expensive generation plants - Marginal cost pricing
43Economic Value of Electricity For New
Connections or For Reduction of with Rotating
Power Shortages
Shaded area economic value of shortage
power (Q-Q0) Power shortage, evenly rotated
to all customers
Assuming willingness to pay (WTP) of all
customers are also evenly distributed from
highest 0P to lowest P0m Economic Value of
Additional Power Supply ((PMAX P0m)/2)
(Q-Q0)
44Economic Value of Electricity Computation Formula
- P Maximum willingness to pay per unit of
shortage power - 2 (capital costs of own generation/KWh)
Fuel Costs/KWh - Need one generation to produce electricity and
the second generation to provide reliability
45Estimated Cost of Power Failure
1. Based on willingness to pay - Based on
customers survey 2. Based on actual costs to
users 3. Based on linear relationship between
GDP and electricity consumption of
industrial/commercial users
46Estimated Cost of Power Failure
1. Based on Willingness to Pay - Based on
customers survey (Contingent valuation) Ontario
Hydro Estimates of Outage Costs (1981
US/kwh) Duration Large Small
Commercial Residential
Manufacturers Manufacturers 1
min 58.76 83.25 1.96 0.17 20 min
8.81 13.56 1.66 0.15 1 hr 4.35
7.16 1.68 0.05 2 hr 3.75
7.35 2.52 0.03 4 hr 1.87
8.13 2.10 0.03 8 hr 1.80
6.42 1.89 0.02 16 hr 1.45
4.96 1.75 0.02 Average 2.15
6.38 1.98 0.12 All groups average 1.96
Average power price 0.025 Average WTP for
power during outage 78.4 times average power
price. Notes C.W. Gellings and J.H.
Chamberlin, Demand-Side Management Concepts and
Methods, Liburn, Georgia, The Fairmont Press,
Inc., 1988. Based on system
simulation model Based on shares
13.5/13.5/39.0/34.0 .
47Own-Generation Cost and Willingness to Pay in
Mexico
Own-generation cost of one generator fuel
(/kWh) 0.18 - Capital cost (/kWh) 0.05
- Fuel cost (/kWh) 0.13 Maximum willingness
to pay (/kWh) 0.23 (two generators one
fuel cost) Average willingness to pay to Utility
(/kWh) 0.14 Average power retail price (gross
of tax, /kWh) 0.05
48Estimated Cost of Power Failure (cont'd)
- 2. Based on actual costs to users
- San Diego (sudden outage of a few hours)
- (1981 US /kwh)
-
Industrial Commercial - Direct User 2.79 2.40
- Employees of Direct User 0.21 0.09
- Indirect User 0.12 0.13
- Total 3.12 2.62
- Multiples of Av Tariff 62.4 52.4
-
- Key West, Florida (rotating blackout for 26
days) - of Cost Multiples
- Time of Price
- Nonresidential Users 4.8 2.30/kwh
46.0 - Electric Power Research Institute study EPRI
EA-1215, 1981, Vol. 2. - Average price in 1981 is 0.05 /kwh.
49Estimated Cost of Power Failure (cont'd)
3. Based on linear relationship between GDP and
electricity consumption of industrial/commercial
users Outage cost 1.35 (1981/kwh)
Or 27 (multiples of the
average power price) M. L. Telson, The
Economics of Alternative Levels of Reliability
for Electric Power Generation Systems, Bell
Journal of Economics, (Autumn 1975).
50Summary Average power outage cost ranges from 6
to 80 times of the average power price.
51- Investment in New Generation to Obtain Cost
Savings
52Load Duration Curve hours for Year
Load Curve hours for Year
Capacity MW
Capacity MW
8760 hrs
Peak hours
Off-Peak hours
8760 hrs
A kilowatt is the measure of capacity. 1 K.W. of
capacity can produce 8,760 Kilowatt hour (kWh)
per year.
53Calculation of Marginal Cost of Electricity
Supply
- During the off-peak hours when the capacity is
not fully utilized, the marginal cost in any
given hour is the marginal running cost (fuel and
operating cost per kWh) of the most expensive
plant operating during that hour. - During the peak hours, when generation capacity
is fully utilized, the marginal cost of
electricity per kWh is equal to the marginal
running cost of the most expensive plant running
at the time plus the capital costs of adding more
generation capacity, expressed as a cost per kWh
of peak energy supplied.
54Optimal Stacking of Thermal
Capacity KwH
Plant Capital Cost Fuel Cost
4 1000 0.03
3 700 0.04
2 600 0.05
1 400 0.08
MC40.08 400(0.15)/10000.14/kWh
1
MC30.05/kWh
2
MC20.04/kWh
3
4
MC10.03/kWh
H2 H3 H4 1000
1500 4500
H4 solve for the minimum number of hours to run a
plant 4 or the maximum number to run plant 3. v
r d 0.15 v(K4)f4(H4)v(K3)f3(H4) 0.15(1000)
0.03(H4)0.15(700)0.04(H4) (150-105)0.04(H4)-0.0
3(H4) 450.01H4 H44500
55Stacking Problem when do we replace a thermal
plant?
KW
Output of plant 5 that substitutes for plant 1
Q1
Plant No. Marginal Running Cost per kWh
1 0.08
2 0.05
3 0.04
4 0.03
5 0.02
Hydro storage
Output of plant 5 that substitutes for plant 2
Q2
H1
1 (2)
Output of plant 5 that substitutes for plant 3
Q3
H2
2 (3)
Output of plant 5 that substitutes for plant 4
Q4
H3
3 (4)
H4
4 (5)
Load curve for plants 2,3,4 after 5 is introduced
The question is whether or not we should build
plant 5. We use the most efficient plant first
and then use the next most efficient and so on
until the least efficient we need to meet demand.
- Assume plant 5 has equal capacity to each of the
other plants we would then have to shift all of
the plants up one stage in production, thus there
is no need to use plant number one now. - Benefits to Plant 5 It is going to be producing
most of the time. Part of the time 5 is
effectively substituting for 4, part for 3, part
for 2, and part for 1.
56Two approaches to calculating benefits
- A. The new plant is used to substitute for part
of the other plants that now do not produce as
much as previously - Benefits Q4 x (0.03 0.02)
- Q3 x (0.04 0.02)
- Q2 x (0.05 0.02)
- Q1 x (0.08 0.02)
- Total A
- B. Alternative approach
- Let H1, H2, H3, H4, be amount of electricity
previously produced by plants 1 to 4. - Original Total Cost New Total Cost
- H4 x 0.03 H4 x 0.02
- H3 x 0.04 H3 x 0.03
- H2 x 0.05 H2 x 0.04
- H1 x 0.08 H1 x 0.05
- Total B Total C
-
- Total A Total B -Total C.
- We now compare total A with the annual capital
cost of plant 5.
57The Situation where variations in the efficiency
of thermal plants are taken into account
The optimum price to charge at any hour is the
marginal running cost of the oldest (least
efficient) thermal plant that is in operation
during that hour.
In this case, the benefits attributable to an
investment in new capacity turn out to be the
savings in system costs that the investment
makes possible and the present value of
expected benefits is
C(k) - the marginal running cost of a plant
built in year k Q(k,t) - the number of
kilowatt-hours in the production of which a new
plant would substitute for plants
built in year k C(j) running cost of plant j
58- Marginal Cost Pricing of Electricity
- Efficient pricing of electricity.
- The basic assumption that we make is that the
demand for electricity is increasing over time,
5-10 each year. Therefore with existing capacity
economic rents will increase over time.
59Load Curve for Hours of Day
- We start with the assumption that all we have are
homogeneous thermal plants.
Capacity in KW
K0
Qt1
Qt0
0
Hours of day
- If demand increases to Qt1 we either ration the
available electricity or we build more capacity.
60Load Curve for Hours of Day (cont'd)
- By varying the price of electricity through time
we can spread out demand so that it does not
exceed capacity.
Surcharge cents
Capacity in K.W.
K0
4
Si Surcharge
3
2
Qt0
1
0
0
Hours of day
- It is possible to keep quantity demanded constant
by varying the price with the use of a surcharge. - Let Ki be the length of time each surcharge is
operative. Si is the difference between MC and
the price charged, then
- It is the economic rent accruing to the existing
capacity.
61Example
- Assume the capital cost is 400/kw of capacity
and the social opportunity cost of capital plus
depreciation 12 per year, we need 48 of rent
per year before installing an additional KW of
capacity. - As demand increases through time, a higher
surcharge is required to contain capacity. Price
is used to ration capacity. - This will generate more economic rent, and if
this rent is big enough it would warrant an
expansion of capacity. - The objective of pricing in this way is to have
it reflect social opportunity cost or supply
price. - In practical cases the price does not vary
continuously with time but we have surcharges
that go on and off at certain time periods.
62Example (contd)
- The Load Factor kWh generated/8760 kwh
- Capital costs of per KW of capacity 400/KW
- Social opportunity cost of capital plus
depreciation (10 2) 48/yr - Marginal running costs 3 cents per kWh
- Peak hours are 2,400 out of the year
- Off peak optimal charge is 3 cents per kWh
- On peak optimal charge is 5 cents per kWh
- Implicit rent of any new capacity 2,400 x 2
cents 48/year
63Choice of different types of Electricity
Generation Technologies to make Electricity
Generation System
- Thermal Generation
- Nuclear
- Large fossil fuel plants
- Combined cycle plants
- Gas turbines
- Hydro Power
- Run of the Stream
- Daily Reservoir
- Pump Storage
64Thermal vs. Hydro Generation
- The thermal capacity is relatively homogeneous.
- In general, if capacity costs for generating
electricity are higher, fuel costs are lower. - With hydro storage or use of the stream every
particular site is different.
65Supply of Electricity, 2001
- World Canada
- (1000GWh) (GWh)
- Nuclear 2,500 (16) 70,652 (12)
- Hydro 2,900 (18) 334,120 (59)
- Thermal 10,000 (64) 141,838 (25)
- Others 300 (2) 22,928 (4)
- Total 15,700 569,538
66Run of the Stream
- No choice of when the water will come. The water
is channeled through turbines to generate
electricity. - Water comes at a zero marginal cost and therefore
should use it when it comes. - Suppose river runs for 8760 hrs. at full
generation capacity. - We will assume that the highest potential output
during the year of the run of stream is less than
total demand (peak hours 2400 and off peak
hours 6360). Some thermal is being used. - Savings as compared to thermal plant
- 2400 x 5 120.00 Peak rationed price 5
- 6360 x 3 190.80 off peak MRC of thermal 3
- 310.80 per year
- Question Is US 310.80 per year enough to pay
for run of stream capital plus running costs?
67Daily Reservoir
- Constructed to meet the peak day hours.
- To store water during the off peak for use during
the peak hours. - We don't generate any more electricity but we use
the same amount of water and use it to produce
peak priced electricity, i.e. (5) instead of off
peak (3) electricity. - Instead of 2400 x 5 120.00
- 6360 x 3 190.80
- 310.80
- We get 8760 x 5 438.00. Net benefits
127.20 - The costs are that of building the reservoir and
the additional hydro generating capacity so as to
generate more electricity in the peak hours.
68Daily Reservoir (contd)
- If previous run of stream generated 100 KW for 24
hours, now we will generate 300 KW for 8 hours. - The gain from this switch in water is what we
compare with the extra cost of building the
reservoir and additional turbine capacity.
69Pump Storage
- We use off peak electricity to pump water up to a
high area so that it can be released to produce
electricity during peak demand periods. - Example
- It takes 1.4 kWh off peak to produce 1 kWh on
peak - Off peak value 3 kWh, Peak value 5 kWh
- There is a profit here of (5 - 31.4) 0.8
/kWh of peak hour generated - Pump storage is becoming feasible because of the
existence of nuclear and very large fossil fuel
plants. - These plants are very costly to shut off and on.
Therefore, their surplus in off peak hours is
very cheap electricity. - With large storage at top and bottom of till, a
very small stream is all that is needed to
produce a very large power station and use
nuclear power to pump water back up on off peak
hours.
70- A Case Study
- Public Private Partnership of
- the Power Project
71Issues and Objectives
- Issues
- More than 60 of installed capacity of power is
hydro. - A power deficit occurs due to
- drought and low level of water in reservoirs
- high demand for power because of the expected
high annual GDP growth rate at 7-10 - Objectives
- A 126 MW single cycle gas turbine plant is
proposed - Assess if the project is financially viable and
bankable - Evaluate if the project is economically viable
and if there are alternative options.
72Key Project Parameters
- A foreign Independent Power Producer (IPP)
proposes to build a 126 MW single cycle
electricity generation plant. - The project will cost US134 m in 2008 prices it
is expected to start operation in 2010 and lasts
for 20 years. - The project will enter a power purchase agreement
(PPA) with the State Owned Utility, which - is the off-taker of the power generated,
- pays capacity payment and provides availability
incentive payment, and - - supplies the required fuel for the operation
of the plant. - The investor has approached AfDB to finance 70
of the total investment cost.
73Financial Appraisal
- Key Assumptions
- The initial plant load factor is 80 in 2010 and
expected to decline at 3.4 per year to reach 40
by the end of the project, 2030. - Real exchange rate, 1.21 rupees/US, remains
unchanged. Inflation rates 3 in the US and 8.9
in host country. - Loans are denominated in US dollars it is repaid
in 14 equal instalment. The annual interest rate
is 6 real. - Corporate income tax rate is 25.
- Required rate of return by the investor is 13
real.
74Financial Appraisal (contd)
- Proposed Single Cycle Plant
- ADSCR is 1.24 in yr 1, 1.43 in yr 2.
- LLCR is 1.51 in yr 1, 1.56 in yr 2.
- FNPV _at_13 0.37 m rupees in 2008 prices.
- For the State Utility, it pays transmission and
distribution cost and charge tariff for end
users. FNPV _at_10 - 257 m rupees, if the cost of
oil is US49/barrel. - Alternative, Combined Cycle Plant
- Capital cost is estimated at 40 higher than the
single cycle plant while the energy
transformation efficiency is 60 (vs 32 for
single cycle plant). - For the State Utility, FNPV _at_10 - 123 m
rupees. - The higher the oil price, the more it saves with
the combined cycle plant.
75Economic Appraisal
- Assumptions
- Costs are measured in resource cost.
- The economic discount rate is estimated at 12
real. - Results
- A cost-effectiveness analysis is undertaken.
- The levelized cost is computed as the PV of total
economic costs incurred over the project life
divided by the PV of electricity generated. - The levelized cost of energy (if the cost of oil
is US49/barrel) 14.6 rupees/kWh for combined
cycle plant and 18.3 rupees for single cycle
plant. - The higher the price of oil, the more efficient
in implementing the combined cycle plant.
76Concluding Remarks
- The financial evaluation of this project goes
beyond the assessment of the proposed single
cycle plant as a stand-alone project. It is also
carried out from the utilitys perspective under
alternative combined cycle technology due to its
financial arrangement to pay fuel costs. - As the capital costs are explicit in the PPA and
fuel costs are not, it might appear to decision
makers that the single cycle is less costly,
while in fact it is much more costly taking full
life cycle costs. - Given the electricity generated by the two
alternative technologies over the same period,
cost-effectiveness analysis has been employed.
The resource cost of the combined cycle plant for
the source of electricity generation is lower due
to its lower fuel requirement as compared to the
single cycle option.