If m represents her production of milk, x her consumption of cow feed, and y her consumption of hay, Lolita's technology can be summarized by the following production function: m = sqrt(x + 2y)

(a) Assume that the unit price of cow feed is Px and the unit price of hay is Py. Since Lolita is not the only cow who consumes these goods, she acts as a price-taker on both markets. Find Lolita's total cost function.

(b) Assume also that the unit price of milk is equal to p. Since Lolita's is not the only cow who produces milk, she acts as a price-taker on the milk market, too. Find the mathematical expression that describes Lolita's supply curve and represent it in a graph when Px = Py = 16.

(c) Compute Lolita's producer's surplus when Px = Py = 16 and p = 80.

(d) Compute the price elasticity of Lolita's supply curve.