8.1. Introduction to Linear Programming

Try these first

1. 1.

   What is linear programming?

   Hint

   Think about it as a mathematical strategy for best outcomes.

2. 2.

   List two components of a linear programming model.

   Hint

   Remember the elements that help in defining the model.

3. 3.

   What does linear programming aim to optimize?

   • Profit
   • Cost
   • Both Profit and Cost

   Hint

   Think about the dual goals of businesses.

4. 4.

   True or False: The Simplex method only works with integer constraints.

   • True
   • False

   Hint

   Reflect on the nature of constraints of a linear program.

5. 5.

   A company has a production capacity of 100 units per week and needs to meet a demand of 200 units. Formulate an LP model to determine the optimal number of employees needed to meet this demand while minimizing costs.

   Hint

   Sketch a graph of constraints and feasible region for visual understanding.

6. 6.

   Compare the expected outcomes of not using linear programming in production planning. Discuss potential inefficiencies.

   Hint

   Consider real-life scenarios where companies faced challenges due to mismanagement.