answer both quetsions simplified and short

EXTRA CREDIT QUESTION 2. (5 bonus points) Return to the problem of the mining firm in Question 9. Assume once again that X = 25. Now assume also that the government has identified a marginal external cost (MEC) attributable to the mine's production. The marginal external cost is constant in each period at MEC, = 10 per unit produced. EC2.a. What are the socially-efficient per-unit tax rates the government could apply in period 0 and period 1 (label these Tg and T,, respectively) to the mining firm to induce it to produce only the socially-efficient amount of output? EC2.b. When the socially-efficient tax rates you calculated above are applied to the mining firm, what is the optimal extraction plan for the mining firm in period 0 and period 1