Which line on graph corresponds to each constraint

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Reference no: EM132126663

Consider the following linear programming formulation:

min x + 4y

s.t 2y + x \geq 4

4y - x \geq -1

x \leq 5

x \geq 0

y \geq 0

(a) Graph all constraints and clearly identify the feasible region for the solution. Make sure to clearly label which line on the graph corresponds to each constraint.

(b) Solve the LP using the graphical method (also called the iso-profit line method) and the corner (extreme) point method and state the optimal solution and the optimal objective function value.

(d) Consider removing the y ? 0 constraint from the problem. Does doing this change the feasible region? Explain why or why not.

(e) Consider adding the constraint ‘x, y are integer’ to the original problem, explain how the feasible region changes.

Please show all work for all parts.

Reference no: EM132126663

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