At the current market equilibrium, the price of a good equals $40 and the quantity equals 10 units. At this equilibrium, the price elasticity of supply is 2.0. Assume that the supply schedule is linear.
a. Use the price elasticity and market equilibrium to find the supply schedule. (The supply schedule has the following form: q = a + (Δq/Δp)p. First, find the value of Δq/Δp, and then, find the value of a.)
b. Calculate the producer surplus in the market.
c. Imagine that a policy results in price falling from $40 to $30. By how much does producer surplus fall?
d. What fraction of the lost producer surplus is due to the reduction in the quantity supplied and what fraction is due to the fall in price received per unit sold?