Find the optimal solution and optimal value, Operating System

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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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