In a market the demand curve is given by P = 57– 4q and supply by P = 4q. What is CS in the market equilibrium? [Round your answer to 2 decimal places]

To find the consumer surplus (CS), we first need to find the equilibrium price and quantity where the demand equals the supply.

1. Set the demand equal to the supply: 57 - 4q = 4q. Solving this equation gives q = 57 / 8 = 7.125.

2. Substitute q = 7.125 into either the demand or supply equation to find the equilibrium price: P = 57 - 4*7.125 = 28.5.

3. The consumer surplus is the area of the triangle formed by the demand curve, the price line, and the vertical axis. It is given by (1/2) * (P_max - P_eq) * Q_eq, where P_max is the maximum price consumers are willing to pay (where Q = 0), P_eq is the equilibrium price, and Q_eq is the equilibrium quantity. Substituting the given values gives consumer surplus = (1/2) * (57 - 28.5) * 7.125 = 101.44.

So, the consumer surplus in the market equilibrium is 101.44.