Consider the following linear programming problem. 2A + 3B Min s.t. 1A + 4B ≤21 2A + 1827 3A + 1.5B ≤21 -2A + 6B20 A, B 20 (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 + 4B ≤ 21 surplus for 2A + 18 2 7 slack for 3A + 1.5B ≤ 21 surplus for -2A + 6B 20 (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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