1. D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to accept for x units. Find

(a)

the equilibrium point,

(b)

the consumer surplus at the equilibrium point, and

(c)

the producer surplus at the equilibrium point.

D(x)=(x7)^ 2,

S(x)=x^2+6x+9

2. D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to accept for x units. Find

(a)

the equilibrium point,

(b)

the consumer surplus at the equilibrium point, and

(c)

the producer surplus at the equilibrium point.

D(x)=250030x,

S(x)=750+5x