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3. A linear programming problem is given as follows: maximizeSubjectto4.1x1+2.6x2+5.5x3+1.9x450015x1+22x2+18x3+25x44008x1+12.6x2+9.7x3+10.55x41700x1+x2+x3+x4x1+x20.60x1,x2,x3,x40Z=50x1+80x2+64x3+80x45x1+2.5x2+4.5x3+3.99x4600 (a) Transform the problem into standard form. (b) Solve the problem by using the computer.

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3. A linear programming problem is given as follows: maximizeSubjectto4.1x1+2.6x2+5.5x3+1.9x450015x1+22x2+18x3+25x44008x1+12.6x2+9.7x3+10.55x41700x1+x2+x3+x4x1+x20.60x1,x2,x3,x40Z=50x1+80x2+64x3+80x45x1+2.5x2+4.5x3+3.99x4600 (a) Transform the problem into standard form. (b) Solve the problem by using the computer. (c) What is the effect on the optimal solution if the 2nd constraint were discarded fro formulation

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