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(a) Write the following linear programming problem in standard form. min 3x1 +822 5x3 + x4 s.t. X1 5x2 + 2x3 24 > -1 21 + 3x3 = 5 X1 22 6x3 + x4 = X1,24 > 0 co 1. x2 so (b) Give the dual problem for the linear programming problem from part a). [Use the usual dual format, that is, min{by: Amy > c, y>0}.] (c) Convert this dual problem into standard form. (a) Write the following linear programming problem in standard form. min 3x1 +822 5x3 + x4 s.t. X1 5x2 + 2x3 24 > -1 21 + 3x3 = 5 X1 22 6x3 + x4 = X1,24 > 0 co 1. x2 so (b) Give the dual problem for the linear programming problem from part a). [Use the usual dual format, that is, min{by: Amy > c, y>0}.] (c) Convert this dual problem into standard form