2. A farmer in Egypt owns 50 acres of land. He is going to plant each acre with cotton or corn. Each acre planted with cotton yields $400 profit; each with corn yields $200 profit. The labor and fertilizer used for each acre are given in the table below. Resources available include 150 workers and 200 tons of fertilizer. a. rormuiate a linear programing model that will enable the farmer to determine the number of acres that should be planted cotton and /or corn to maximize his profit. b. Implement the model in (a) in Excel Solver and obtain an answer report. What is the optimal solution to the model in (a)? c. Obtain a sensitivity report for the model in (a)