Question: (35 points) Consider the following linear program with two variables: maxxs.t.x15x2x13x23x1+x24x1,x20. (a) Solve the linear program graphically. Draw a graph of the feasible region and

(35 points) Consider the following linear program

(35 points) Consider the following linear program with two variables: maxxs.t.x15x2x13x23x1+x24x1,x20. (a) Solve the linear program graphically. Draw a graph of the feasible region and construct an objective contour. What is the optimal objective value and the corresponding optimal solution? (b) Transform the linear program into standard form. Write the decision vector x and parameters c,A, and b. (c) Identify all basic feasible solutions and corresponding objective values of the linear program in standard form. Which basic feasible solution has the optimal objective value? Does this value match your answer from part (a)

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