Suppose we want to minimize cx = x1 x2, subject to 2x1 4x2 +x3 = 6 3x1 +6x2 +x4 = 12
Chapter 8, Problem 8.2.10(choose chapter or problem)
Suppose we want to minimize cx = x1 x2, subject to 2x1 4x2 +x3 = 6 3x1 +6x2 +x4 = 12 (all x1,x2,x3,x4 0). Starting from x = (0,0,6,12), should x1 or x2 be increased from its current value of zero? How far can it be increased until the equations force x3 or x4 down to zero? At that point, what is the new x?
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