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📐 Mathematics  ·  Linear Programming  ·  JEE

In a typical diet problem, the objective function usually represents the ___ to be minimised:

Answer: cost.

  • A cost
  • B elapsed time only
  • C floor area
  • D temperature

Correct answer: A. cost

Explanation: Diet problems generally minimise the total cost of the food subject to nutritional constraints.

Feasible Region and Corner PointsxyOABCfeasible regionZ = ax+by is evaluated ONLY at corners O, A, B, C - the optimum is always at one of these

The feasible region (shaded) is bounded by the constraint lines; the fundamental theorem of LPP guarantees the optimal value of the objective function occurs at one of the corner points (O, A, B, C), so only these need to be checked, not the entire region.

Concept context

Optimizing a linear objective function subject to linear constraints using the graphical corner point method.

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