8.4. Formulating the Linear Program

Try these first

1. 1.

   What is the maximum number of carpets the company can produce with 30 workers?

   Hint

   Multiple workers produce a set number of items.

2. 2.

   What is one cost that needs to be considered in the linear program?

   Hint

   Think about additional payments for extra work.

3. 3.

   What is the maximum production capacity for the carpet company?

   • 440 carpets
   • 600 carpets
   • 920 carpets

   Hint

   Remember the number of workers and their output per month.

4. 4.

   True or False: Linear programming can guarantee integer solutions.

   • True
   • False

   Hint

   Consider the nature of linear equations.

5. 5.

   Create a complete linear programming model for a production scenario including objective function and constraints.

   Hint

   Draw a diagram or table to clarify relationships.

6. 6.

   Analyze the financial implications of hiring and firing costs in the context of demand fluctuations.

   Hint

   Consider the long-term costs of workforce changes.