8.5. Constraints of the Linear Program

Try these first

1. 1.

   What is linear programming?

   Hint

   Think about maximizing or minimizing a function.

2. 2.

   What is a constraint in linear programming?

   Hint

   Consider what limits your options in a problem.

3. 3.

   What does linear programming aim to optimize?

   • Resources
   • Time
   • Both A and B

   Hint

   Think about what goals can be improved through optimization.

4. 4.

   Constraints restrict the solutions in a linear programming problem.

   • True
   • False

   Hint

   Consider how they influence the possible answers.

5. 5.

   A factory can produce chairs and tables with different labor costs. Create a linear program with constraints to maximize profit while minimizing costs.

   Hint

   Start by determining the profit for each item and labor hours required.

6. 6.

   Given the demand fluctuates monthly, how would you adjust the workforce? Model your decision-making process in a linear program.

   Hint

   Consider seasonal variations and production capacity.