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May 18, 2023
  • Question 1

    A company makes (window) frames and doors. It makes a profit of $30 on frames and $35 on a door.
    Each frame requires 5 units of materials, 3 units of machine time and 2 units of labour. Each door requires 8 units of material, 5 units of machine time and 1 unit of labour. The resources available are 400 units of materials, 500 units of machine time and 100 units of labour.

    • Formulate this as a linear programming problem listing the constraints and
      objective function.
    • Graph the linear inequalities and shade the feasible region.
    • How many of each type should be produced to maximize the profit?
    • What is the maximum profit?

    Question 2

    Draw each inequality and shade the feasible region

    MAT1106 Business Mathematics

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