The demand function for a type of car is given by p(x) = − 1/5 x+5000. Find the consumers’ surplus if the price per car is set at $4500

Find producer's surplus at the market equilibrium point if supply function is p=3x+3 and the demand function is p = 100.8/(x+15)

d the consumers' surplus if the demand function for a particular beverage is given by D(q) = 2000 (2q+9)² and if the supply and demand are in equilibrium at q = 9.

Urban water supply has the Average Cost function AC =150/Q, and demand function     Q = 18-4P; Q is quantity of water output, and P is unit price of water.          (i) Obtain the Total Cost and Total Revenue Functions of water utility.          (ii) Find the optimal output (Q*) of water utility.          (iii) Find the optimal price (P*) of water utility.

For the demand function d(x) and supply function s(x), complete the following. d(x) = 300 - 0.09x², s(x) = 0.03x² (a) Find the market demand (the positive value of x at which the demand function intersects the supply function). X = (b) Find the consumers' surplus at the market demand found in part (a). (c) Find the producers' surplus at the market demand found in part (a). $

The function that relates the inverse of speed (1/S) (i.e., the time in minutes that it takes to travel 1 mile) to traffic (T) on a highway is 1/S = 4 + 0.05T. Demand for traffic (measure as traffic volume minute) on this road is T=6880-70 (1/S) Find the equilibrium traffic volume in the absence of any congestion toll. Find the marginal cost function for traffic volume, where cost is expressed as travel time per mile in minutes. per Find the optimal level of traffic volume. Find the optimal congestion toll, expressed in minutes. (Imagine that the congestion toll consists of sitting in the “penalty box" for this period of time.) The function that relates the inverse of speed (1/S) (i.e., the time in minutes that it takes to travel 1 mile) to traffic (T) on a highway is 1/S = 4 + 0.05T. Demand for traffic (measure as traffic volume per minute) on this road is T=6,880- 70-(1/S). a. Find the equilibrium traffic volume in the absence of any congestion toll. b. Find the marginal cost…