P1. Solve the following by Simplex Method by showing dictionaries and code in AM

Question

P1. Solve the following by Simplex Method by showing dictionaries and code in AMPL Max z:5x1 6x2 9x3; x1 + 2x2+3x3 s 5; x1+x2+2x3 3; x1, x2, x3 2 0; P2. Solve the following by Simple Method. Also, code in AMPL. Max Z = x1 + 2x2 + 3x3; s.t. x1 x2 x3 s 12; s, t. 2x1 + x2 + 3x3 18; s, t. x1, x2, x3 2 0; P3. Which of the following transformations will allow us to express this problem in a standard form, without changing the meaning of the original problem. Consider the LP max (2e-Sy) s. t. z-y 5, z + y 4,220 O Simply add the missing constraint y 2 0 Substitute y-r-s for two fresh variables r, s 2 0 O Give up and solve some other problenm

Explanation / Answer

Answer 3 : since all the variables are positive in order to obtain a feasible solution .

Therefore the constraint y>=0 Is required for the same.

Answer is a: simply add y>=0

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