The quantity 'x' demanded per week, in units of a hundred, of a certain product is related to the unit price 'p'(in dollars) by the relation
p=-0.02x^2-0.1x+22

The quantity 'x' in units of a hundred, that the supplier is willing to make available in the market per week is related to the unit price 'p' by the relation is
p=0.02x^2+0.4x+13

If the market price is set at the equilibrium price, fin the consumer's and producer's surplus.

Question

The quantity 'x' demanded per week, in units of a hundred, of a certain product is related to the unit price 'p'(in dollars) by the relation
p=-0.02x^2-0.1x+22

The quantity 'x' in units of a hundred, that the supplier is willing to make available in the market per week is related to the unit price 'p' by the relation is
p=0.02x^2+0.4x+13

If the market price is set at the equilibrium price, fin the consumer's and producer's surplus.