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CMA Intermediate · Operations Management and Strategic Management · Optimum Allocation of Resources - LPP

In a linear programming model, which of the following is an example of a non-negativity restriction?

The non-negativity restriction says each decision variable, such as units produced, must be zero or greater, because negative output is not meaningful. The other statements describe a resource constraint, an objective function coefficient and an equality constraint, so they are not non-negativity conditions.

  1. AMachine hours used cannot exceed 400 hours
  2. BThe quantity produced of each product must be zero or moreCorrect
  3. CProfit per unit of product A is Rs 30
  4. DTotal labour cost must equal Rs 50,000

Explanation

A non-negativity restriction requires every decision variable to be zero or positive, since negative production has no meaning. Machine-hour limits are resource constraints, profit per unit is an objective coefficient, and a labour-cost equality is a constraint, not a sign restriction.

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