In: Advanced Math
Producers' Surplus
The demand function for a certain brand of CD is given by
p = −0.01x2 − 0.2x + 11
where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. The supply function is given by
p = 0.01x2 + 0.6x + 1
where p is the unit price in dollars and x stands for the quantity that will be made available in the market by the supplier, measured in units of a thousand. Determine the producers' surplus if the market price is set at the equilibrium price. (Round your answer to the nearest dollar.)
The demand function is
.
The supply function is
.
for market equilibrium take supply = demand
.
taking an only positive value
...................equilibrium quantity
.
.
...................equilibrium price
.
producers' surplus is given by