3–24. Assume that the demand curve for sporting guns is described by QD = 100 − 2p and the supply is described by QS = − 20 + p(QD and QS are in millions, p is in $).

a. Compute the competitive equilibrium price and quantity. Draw a graph of a supply and demand curve and label it correctly. Compute the total value created in the market for sporting guns (Hint: total value = consumer surplus + producer surplus).

b. Suppose that the government views sporting guns as a luxury product and taxes the consumers $6 for each sporting gun they buy. Solve the new competitive equilibrium.

What losses do consumers of sporting guns incur as a result of the tax? What losses, if any, do the producers of sporting guns incur?