1. (25) Suppose that we have an economy consisting of two farmers, Cornelius and Wheaton, who unsurprisingly farm corn c and wheat m, respectively. Assume that both farmers produce their crop of choice using a single input, land E, of which there are a total of E = 100 acres, with EC = 25 owned by Cornelius and E = 75 by Wheaton. However, neither is required to farm only his own land and each may rent a portion to the other, so that if Cornelius is farming EC acrII and Wheaton Em, the quantities of each crop produced are given by the production functions ga=\\/c Qw=\\/: Let pa and pm denote the prices of corn and wheat, rupectively, and let 1" denote the rental price of land. (a) (5) Set up each farmer's prot maximization problem, and nd the rst order conditions. (b) (5) Find the land demand functions for Cornelius 330', pa) and Wheaton 30\