5.43] Consider the problem: Minimize ex subject to Ax 2 b, x20. Let x be an optimal solution. Suppose that A is decomposd to and b is decomposed into uch that A - b and A2x' > b. Show thatx is also an optimal solution to the problem: Minimize ex subject to Alx 2 bi, x 2 0, and to the problem: Minimize cx subject to Ax - bi, x20