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Consider the following linear program: Maximize-2ri+ 2 subject to: 12x1 + 3x2 6, #7 10, i 20 x2 20. a) Draw a graph of the constraints and shade in the feasible region. Label the vertices of this region with their coordinates. b) Using the graph obtained in (a). find the optimal solution and the maximum value of the objective function. c) What is the slack in each of the constraints?

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