Consider the Following Linear Program

question 1

Essay

Consider the following linear program:
MAX 60X + 43Y
s.t.X + 3Y > 9
6X -0 2Y = 12
X + 2Y < 10
X,Y > 0
a.Write the problem in standard form.
b.What is the feasible region for the problem?
c.Show that regardless of the values of the actual objective function coefficients,the optimal solution will occur at one of two points.Solve for these points and then determine which one maximizes the current objective function.

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