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1. Graphical Solution Method: Consider the following constraints and the corresponding graph below: 4x-y=1 Constraint 1 x+y0 Non-Negativity a. Shade the feasible region in the graph provided above. b. For this part only, the objective function is Minimize x + y. Which of the following describes the optimal solution? (Circle the correct answer) Infeasible Unique Alternate Unbounded c. For this part only, if the objective function is Minimize -3x + y, then what is the optimal solution? Put your answer in the space below for x and y. X= y: d. For this part only, consider Constraint 1 removed and therefore does not need to be satisfied. If the objective function is Maximize 3x + 6y, then what is the optimal value? Bill and Frank keep to themselves as much as possible but are happy managing their well protected farm. They are currently planning the mix of crops to plant on their 120-acre farm for the upcoming season. The table below provides the labor hours and fertilizer required per acre as well as the expected profit per acre for each of the potential crops under consideration. Bill and Frank (and perhaps their friends Joel and Tess) can work at most a total of 6,500 hours during the upcoming season. They have 200 tons of fertilizer available. Labor Required | Fertilizer Required Expected Profit Crops | (hours per acre tons per acre] per acre 50 1:5 $ QOats 500 Wheat | 60 2 s 600 Com_| 105 4 B 950 Formulate an appropriate linear program (LP) for this problem to maximize expected profit. Clearly define all decision variables, provide a label for all constraints, and all constraints must be in standard form