Determine the amount of slack or surplus

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Consider the following linear programming problem

Min A+ 2B
s.t.
A + 4B< or equal to 21
2A + B > or equal to 7
3A + 1.5B < or equal to 21
-2A + 6B > or equal to 0
A, B > or equal to 0

a. Find the optimal soulution using the graphical soulution procedure and the value of the objective function

b.determine the amount of slack or surplus for each constraint
(dont worry about this problem it has been emitted from the homework but if you can help me to understand this I would greatly apprecaite it)

c. suppose the objective function is changed to max 5A+2B. Find the optimal solution and the value of the objective function.

Reference no: EM13177805

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