Question: 4). Consider a maximization linear programming problem with 4 extreme points v1, 12, v3, v4 and 3 extreme directions d1, d2, d3, and with objective

4). Consider a maximization linear programming problem with 4 extreme points v1, 12, v3, v4 and 3 extreme directions d1, d2, d3, and with objective function coefficients given by the vector c, such that cv1 = 5, cv2 = 18, cv3 = 4, cv4 = 18, cd1 = -5, cd2 = 0, cd3 = -2. (a). Write down the reformulated LP in terms of the extreme points and extreme directions. (b). Is the LP unbounded? Does it have a finite optimal solution? If so what is the optimal ? Does the LP have multiple optimal solutions? Explain! (Don't just say "yes" or "no".)

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