Question: Consider the following linear program: objective: MAX 25.01 + 10:22 subject to: c: 12.61 + 10:22 80 C3: -4.01 + 2.02 > 0 21,22 >

Consider the following linear program:

Consider the following linear program: objective:

objective: MAX 25.01 + 10:22 subject to: c: 12.61 + 10:22 80 C3: -4.01 + 2.02 > 0 21,22 > 0 (a) On one graph, outline the feasible region. (b) Find all the vertices (intersections of constraint boundaries) of the feasi- ble region. (c) Determine the optimal decision variables x, and x2. (d) What is the value of the objective function for the optimal decision vari- ables? (e) Which constraints are binding? (f) Find the slack or surplus for each constraint. (g) Suppose further research showed that the right-hand-side of constraint C2 was actually 90 rather than 80. How would this affect the optimal solution found in part (c) and (d)

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