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MHT CET2017MathematicsApplication of Derivatives

The objective function of LPP defined over the convex set attains its optimum value at

Options

  1. AAt least two of the corner points
  2. BAll the corner points
  3. CAt least one of the corner points
  4. DNone of the corner points

Correct answer

C. At least one of the corner points

Step-by-step solution

Let (Z=a x+ ) by be the objective function When Z has optimum value(maximum or minimum), where the variables (x ) and (y ) are subject to constraints described by linear inequalities, this optimum value must occur at a corner points of the feasible region. Thus, the function attains its optimum value at one of the corner points.

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