Reformulate this problem so that it has only two functional constraints and all variables have nonnegativity constraints.

1.* Consider the following problem. Maximize Z__x1 _ 4×2, subject to
 

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_3x1 _ x2 _ _6
_ x1 _ 2×2 _ _4
_ x1 _ 2x2__3
(no lower bound constraint for x1).
(a) Solve this problem graphically.
(b) Reformulate this problem so that it has only two functional constraints and all variables have nonnegativity constraints.
(c) Work through the simplex method step by step to solve the problem.

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