Question: Consider the following linear programming model: maximize Z = 3x1 + 2x2 subject to : x1 +x2 1 x1 + x2 2 x1,x2 0 a)

Consider the following linear programming model:

maximize Z = 3x1 + 2x2

subject to :

x1 +x2 1

x1 + x2 2

x1,x2 0

a) Write this model in a standard (augmented) form. (i.e. Introduce slack/surplus, artificial etc.) b) Constract the initial simplex tableau and carry on your calculations to solve this model using the simplex method. Interpret your result.

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