Calculate Equilibrium Quantity and Price of a Product

Question

The demand for wine is given by the equation QD = 500 – 20P, where P is the price of wine per liter and QD is the quantity of wine demanded in liters. The supply of wine is given by the equation QS = 30P.

(a) Solve for the equilibrium quantity and price of wine. Use a wine market diagram to show this equilibrium point.

(b) Suppose that a $1 per liter tax is levied on the wine producers. Calculate the new equilibrium quantity and price of wine after tax. Use a wine market diagram to show this equilibrium point.

(c) Compute the tax revenue collected by the government. Is it correct to say that since the tax is imposed on the wine producers, the tax burden is fully shouldered by the wine producers and the wine consumers did not pay the tax at all? Explain.

(d) Determine the deadweight loss due to the tax.

Summary: This question belongs to micro economics and discusses about demand and supply of a product and to solve for the equilibrium quantity and price of that product.

Total word count: 260