In: Economics
Qd = 200 -5p
Qs = -100 + 20P
Where: QD and QS are quantity demand and quantity supplied respectively, and P is the price.
At the market equilibrium price, producer surplus is equal to
The equilibrium price would be where the quantity demanded is
equal to the quantity supplied, ie where
or
or
or
dollars. The quantity demanded at that price would be
units, which is the equilibrium quantity.
The area below the supply curve is the cost, and the price times
quantity is the revenue. The inverse supply is
. Hence, the producer surplus would be
or
or
or
or
or
dollars.
This can be confirmed as in the graph below.
The PS is the area of triangle CBE, which is
or
or
dollars.