Suppose that the marginal benefit associated with corn production is MB = 2.5. The marginal private cost of production is MPC = 2 + 0.1Q, where Q measures bushels of corn produced in thousands. The marginal damages caused by pollution in corn production are given by MD = 0.05Q.

a. Compute the privately optimal output and the socially optimal output.

b. Compute new solutions for an increase in MB to MB = 3. Explain what has happened and why.

c. Demonstrate the effects of an increase in MD to MD = 0.075 compared to the solutions in part a.