Consider a power system with three generators. Each generator has a piecewise linear costfunction defined by the following points.Generator 1Generator 2Generator 3Production (MWh)1002003004002004006008001004007001000Cost ($)91517602635354018703530523069701060346060408800The min/max production of each generator corresponds to the min/max production valuesin the table (i.e., Generator 1 produces at least 100 MWh and no more than 400 MWh).(a) Plot the inverse supply function for this system.(b) If the demand is completely inelastic and equal to 1600 MWhį. compute the electricity price.ii. calculate the gross consumer surplus, consumer surplus, the producers revenue, theproducers profit, and the global welfare.iii. determine the production level, cost, revenue, and profit for each generator.

The concept of S can be described as the amount of a commodity or service that producers are willing…

Consider a power system with three generators. Each generator has a piecewise linear cost function defined by the following points. Production (MWh) 100 200 300 400 200 400 Generator 1 Generator 2 Generator 3 600 800 100 400 700 1000 Cost ($) 915 1760 2635 3540 1870 3530 5230 6970 1060 3460 6040 0000

Consider a power system with three generators. Each generator has a piecewise linear cost function defined by the following points. Production (MWh) 100 200 300 400 200 400 Generator 1 Generator 2 Generator 3 600 800 100 400 700 1000 Cost ($) 915 1760 2635 3540 1870 3530 5230 6970 1060 3460 6040 0000

ENGR.ECONOMIC ANALYSIS

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ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

Consider a power system with three generators. Each generator has a piecewise linear cost
function defined by the following points.
Generator 1
Generator 2
Generator 3
Production (MWh)
100
200
300
400
200
400
600
800
100
400
700
1000
Cost ($)
915
1760
2635
3540
1870
3530
5230
6970
1060
3460
6040
8800
The min/max production of each generator corresponds to the min/max production values
in the table (i.e., Generator 1 produces at least 100 MWh and no more than 400 MWh).
(a) Plot the inverse supply function for this system.
(b) If the demand is completely inelastic and equal to 1600 MWh
į. compute the electricity price.
ii. calculate the gross consumer surplus, consumer surplus, the producers revenue, the
producers profit, and the global welfare.
iii. determine the production level, cost, revenue, and profit for each generator.

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Step 2: Determine supply function and MC

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Step 3: Determine the price

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Step 4: Calculate PR,PC,PP and GW

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