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Write down mathematical statements to represent the relation given in the context of a linear programming problem for crop cultivation.

Mathematics

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Alright carol, let's continue with this linear programming problem.

a) Write down mathematical statements to represent the relation

  1. Define variables.

    Let xx be the number of hectares of maize.
    Let yy be the number of hectares of beans.

  2. Formulate the objective function (profit to maximize).

    The profit from maize is UGX 88000 per hectare.
    The profit from beans is UGX 80000 per hectare.

    P=88000x+80000yP = 88000x + 80000y
  3. Formulate the constraints.

    • Total land available: 10 hectares.
    x+y≤10x + y \le 10
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