Question: Consider the following linear programming problem. Min 3A + 5B s.t. 1A + 4B 21 2A + 187 3A + 1.585 21 -2A + 6B20

Consider the following linear programming

Consider the following linear programming problem. Min 3A + 5B s.t. 1A + 4B 21 2A + 187 3A + 1.585 21 -2A + 6B20 A, BO (a) Find the optimal solution using the graphical solution procedure and the value of the objective function. at (A, B) = (b) Determine the amount of slack or surplus for each constraint. slack for 1A + 4BS 21 surplus for 24 + 1B > 7 slack for 3A + 1.5B S 21 surplus for -2A + 6B > 0 (C) Suppose the objective function is changed to max 8A + 3B. Find the optimal solution and the value of the objective function. at (A, B) =

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