Give the dual of each of the following linear programs: maximize subject to ᏆᎪ - x4x12x2+4x3, x42x1+3x2-5x3, x43x14x2+6x3,1 1+2+3 = 1, 1, 2, 30, - 24 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.