Consider the following LP model. Max Z=3A + 4B St -A + 2B 8 (1) (2)...

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Consider the following LP model. Max Z=3A + 4B St -A + 2B ≤8 (1) (2) A + 2B ≤ 12 2A + B ≤ 16 A, B≥0 (3) (a) Solve the problem using the graphical method presented in class. Put A on X-axis. Clearly mark the feasible region and direction of increase/decrease of Z and state what the optimal solution is (value of A, B, Z). (b) Compute the dual price for constraint 1 and 2. Show your work, no marks will be given for simply writing down a number. Consider the following LP model. Max Z=3A + 4B St -A + 2B ≤8 (1) (2) A + 2B ≤ 12 2A + B ≤ 16 A, B≥0 (3) (a) Solve the problem using the graphical method presented in class. Put A on X-axis. Clearly mark the feasible region and direction of increase/decrease of Z and state what the optimal solution is (value of A, B, Z). (b) Compute the dual price for constraint 1 and 2. Show your work, no marks will be given for simply writing down a number.