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find the optimal solution and optimal value of

Find the optimal solution and optimal value of the following linear program. Use both (a) the enumerating the corner points method and (b) the iso-profit line method. Also identify the binding and non-binding constraints and the slack of each constraint. Show all work.

minimize 2X_I + X₂

subject to

6X_I+ 12x₂ > 64

X_l > 0

X₂ > -3

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