Question

2.18 Economists estimate that the variable cost of production of electrical en ergy in electricity market...

2.18 Economists estimate that the variable cost of production of electrical en ergy in
electricity market is given by the fol lowing expression: · an
C(Q) = 20000 + 500Q + l0Q2($)
C(Q) = 141 400 + 287.S(Q - 86)2($)
forQ ~ 90MWh
for Q ~ 90 MWh
They also estimate that the demand curve for electricity is given by the following
expressions:
For the hour of maximum load : Q = 100 - 0.00125;r(MWh)
For the hour of minimum load : Q = 55 - 0.00ln(MWh)
where ;r is the price in $/MWh.
Sketch the supply and demand curves for this market.
Determine the following quantities at the market equilibrium for the hours of
minimum and maximum load:
a The quantity traded
b The market price
c The revenue collected by the producers
d The total variable cost of production for all the producers
e The economic profit collected by these producers
f The price elasticity of the demand
g The price elasticity of the supply.

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