Give the dual of each of the following linear programs: maximize 100x1 + 2002+300x3 + 400x4 subject to 1+22+3x3 - 4x4 10, -5x16x27x3+8x4-20, 9x1+102+11x3-12x4 = 30, == 21, 30, 240, 2 unrestricted Hint: Remember to first rewrite all the constraints so that all variables are on the left and the right-hand side is a constant.

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