Question: 3. A linear programming problem is given as follows: maximize Z = 50x: +80x2 + 64x3 + 80x Subject to 5x + 2.5x2 + 4.5x3

3. A linear programming problem is given as follows: maximize Z = 50x: +80x2 + 64x3 + 80x Subject to 5x + 2.5x2 + 4.5x3 + 3.99x, S 600 4.1x: + 2.6x2 +5.5x3 +1.9x4 S 500 15x + 22x2 + 18x3 + 25x4 S 400 8x: + 12.6x2 +9.7x3 + 10.55x4 S 1700 x + x2 0.60 x + x + x + x X1, X2, X3, X, 20 (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 from the formulation

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