In a competitive market, the industry demand and supply curves are P-200 20 and P-100+.3Q, respectively.

a. Find the market's equilibrium price and output.

b. Suppose the government imposes a tax of $20 per unit of output on all firms in the industry. What effect does this have on the industry supply curve? Find the new competitive price and output. What portion of the tax has been passed on to consumers via a higher price?

c. Suppose a $20-per-unit sales tax is imposed on consumers. What effect does this have on the industry demand curve? Find the new competitive price and output. Compare this answer to your findings in part b.