2. Consider the system dP P(1000/Q – P) dt OP Q(20P – Q), dt where P is the price of a single item on the market and Q is the quantity of the item available on the market. Find the equilibrium points of this system. (a) Classify each equilibrium point with respect to its stability, if possible. If a point cannot be readily classified, explain why. (b) Perform a graphical stability analysis to determine what will happen to the levels of P and Q as time increases.

1.(c) The demand for watches is given by p = 7000 − 2q dollars, and the supply of watches is given by p = 0.01q + 2q + 1000 dollars, where q is the number of watches demanded and supplied when the price per watch is p dollars. Based on the information provided, calculate the equilibrium quantity and the equilibrium price for watches.

Consider the demand (D) and supply (S) functions D = 14 - P and S = P² + 3P +2. (P is the unit price by dollars.) 1. Find the domain of the function D = D(P) in this context. 2. Find the equilibrium price Pr. What happens if P > P* (explain in this context)? ( 3. Sketch both the demand and supply curves in one coordinate system. Identify the equilibrium point...

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. D(x) = e X+2 S(x) = e x-6 a) Find the equilibrium point. b) Find the consumer surplus at the equilibrium point. c) Find the producer surplus at the equilibrium point. a) What are the coordinates of the equilibrium point? (Type an ordered pair. Round each coordinate to the nearest hundredth as needed. Do not include the $ symbol in your answer)

Derive the two expressions for the IS and LM equilibrium relationships respectively. Sketch a graph of the two relationships.