1. The Finger Lakes region of New York State attracts tourists who wish to sample its superb wines. In recent years, hog raising farms -some with more than a thousand hogs-have taken root in the region. The smells emanating from the massive amounts of pig manure adversely affect the tourism. Imagine that the Little Pigs (LP) hog farm is situated near the Tipsy vineyard. The table below shows, for eaclh level of LP's output, the marginal cost of a hog, the marginal benefit to LP, and the marginal damage done to Tipsy 10 13 19 21 14 14 14 14 MD 13 15 a How many hogs should LP produce, based on their private costs and benefits? What is the socially efficient number of hogs to produce? If a corrective tax on hogs is imposed, what is the optimal tax rate