Question: Consider the linear program: Maximize : Z = 5x1 + 7x2 Subject to : 2x1 + 3x2 >=42 3x1 + 4x2 >= 60 x1 +

Consider the linear program: Maximize : Z = 5x1 + 7x2 Subject to : 2x1 + 3x2 >=42 3x1 + 4x2 >= 60 x1 + 1x2 >= 18 x1 >= 0 x2 >= 0 (a) Use the graphical method to solve this problem. Identify all the corner points on the graph. (b) For each CPF solution, identify the pair of constraint boundary equa- tions it satises. (c) For each CPF solution, identify its adjacent CPF solutions. (d) Calculate Z for each CPF solution. Use this information to identify an optimal solution. (e) Describe graphically what the simplex method does step by step to solve the problem.

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