12th Class Mathematics Linear Programming

  • question_answer 4) Minimize P = 3x + 5y, such that

    Answer:

    Objective functions is P = 3x + 5y                            L1 : x + 3y = 3                      L2 : x + 3y = 2                 Here P is minimum at Since the region is unbounded  7 may or may not be the minimum value of P. For this draw the graph of inequality 3x + 5y < 7 L : 3x + 5y = 7 Clearly open half plane has no common point with the feasible region so minimum value of P is 7 and optimal solution is .  

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