8.6. Cost Minimization in Linear Programming

Try these first

1. 1.

   What is the objective of linear programming?

   Hint

   Think about how resources are utilized in production.

2. 2.

   Define surplus storage costs.

   Hint

   Consider the implications of unsold inventory.

3. 3.

   What does a linear program aim to do?

   • Maximize profits
   • Minimize costs
   • Both A and B

   Hint

   Consider the objectives of business operations.

4. 4.

   True or False: The simplex algorithm can only solve problems where all variables are integers.

   • True
   • False

   Hint

   Think about the nature of the variables in most linear programs.

5. 5.

   Develop a complete linear programming model that includes all potential costs associated with producing 700 carpets in a month. Assume demand fluctuations necessitate holding extra inventory.

   Hint

   Include all costs and maximize production efficiency.

6. 6.

   Given different monthly demands (from 320 to 920) and production capacities, how would you adjust your workforce if previously hired workers are non-integers?

   Hint

   Focusing on the demand fluctuations will be key in adjusting numbers.