In: Economics
Quantity demanded as a function of price is given by Q(P)=100-0.5 x P. If the market price is P=€150 what is consumer surplus
Q = 100-0.5P
at Q=0,
0 = 100-0.5P
0.5P = 100
P = 100/0.5 = 200
Also at P=150, Q = 100-0.5*150 = 25
at a price of 150, the consumer surplus will be
CS = 0.5*(200-150)*25 = 625