Compute the elasticities of demand and supply

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1) Assume the demand and supply curves for broccoli in the United States market are given by:
Qd = 1000 - 5P Qs = 4P - 80
Quantities are in hundreds of bushels per year and price is in dollars per hundred bushels.

a) Determine the equilibrium market price and quantity for broccoli, and plot the demand and supply curves on a graph.

b) Compute the elasticities of demand and supply of broccoli at the market equilibrium, and interpret the meaning of these numbers.

c) Suppose you calculate the cross price elasticity of demand for broccoli with respect to green beans and find it is equal to 2.3. Interpret the impact on broccoli demand of a 10% increase in the price of green beans.

d) If a price floor (minimum allowable price) set at $150/hundred bushels is imposed on broccoli, how will this affect the market? Sketch a diagram showing the impact on consumer and producer surplus. (No calculations required; demonstrate graphically.) Assume the government only imposes the price floor, and doesn't intervene in other ways in this market.

 

Reference no: EM1374530

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