Question: Please Solve Part (f) Consider the following linear programming model: Maximize X +2Y Subject to (1) 2X - 24-4 X+Y0 (a) Graph the constraint lines

Please Solve Part (f)

Please Solve Part (f) Consider the following

Consider the following linear programming model: Maximize X +2Y Subject to (1) 2X - 24-4 X+Y0 (a) Graph the constraint lines and mark them clearly with the numbers (1), (2), (3) and (4) to indicate which line corresponds to which constraint. Darken the feasible region. Is the feasible region unbounded? (12 points). (f) Use the graph of the feasible region drawn in Part (a) to answer the questions below: Suppose we add the constraint 2X + YZ a to the linear programming model. For what values of a: (i) the optimal solution found above (in part (c)) is no longer optimal but remains feasible? Show your work. (3 points) (ii) the linear programming model becomes infeasible? Show your work. (3 points)

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