Find the optimum solution of the given LPP by using the simplex method | Operations Research 2081

Operations Research208110 marksNumerical: LPP simplex methodSimplex method for solving LPP

Find the optimum solution of the given LPP by using the simplex method.Min Z=20A+10BMin; Z = 20A + 10BMinZ=20A+10BSubject to:Subject;to:Subjectto:A+2B≤40A + 2B \le 40A+2B≤404A+3B≥604A + 3B \ge 604A+3B≥603A+B≥303A + B \ge 303A+B≥30A,B≥0A, B \ge 0A,B≥0[10]

Objective: Minimize $Z = 20A + 10B$ Constraints: - (1) $A + 2B \le 40$ - (2) $4A + 3B \ge 60$ - (3) $3A + B \ge 30$ - $A, B \ge 0$ $A + 2B + S1 = 40$ $4A + 3B - S2 + A1 = 60$ $3A + B - S3 + A2 = 30$ Big-M objective (minimization): $Z = 20A + 10B + 0S1 + 0S2 + 0S3 + MA1 + MA2$ $CB$ row:

Objective: Minimize $Z = 20A + 10B$ Constraints: - (1) $A + 2B \le 40$ - (2) $4A + 3B \ge 60$ - (3) $3A + B \ge 30$ - $A, B \ge 0$ $$A + 2B + S1 = 40$$ $$4A + 3B - S2 + A1 = 60$$ $$3A + B - S3 + A2 = 30$$ Big-M objective (minimization): $$Z = 20A + 10B + 0S1 + 0S2 + 0S3 + MA1 + MA2$$ $CB$ row:

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Find the optimum solution of the given LPP by using the simplex method.Min Z=20A+10BMin\; Z = 20A + 10BMinZ=20A+10BSubject to:Subject\;to:Subjectto:A+2B≤40A + 2B \le 40A+2B≤404A+3B≥604A + 3B \ge 604A+3B≥603A+B≥303A + B \ge 303A+B≥30A,B≥0A, B \ge 0A,B≥0