8.7. Integer Solutions in Linear Programming

Try these first

1. 1.

   Define linear programming in your own words.

   Hint

   Think about maximizing or minimizing within set boundaries.

2. 2.

   What does the term 'constraints' mean in linear programming?

   Hint

   Consider what limits decision-making in a problem.

3. 3.

   What is linear programming primarily used for?

   • A) Data Analysis
   • B) Optimization
   • C) Simulation

   Hint

   Think about what goal LP aims to achieve.

4. 4.

   Linear programming can guarantee integer solutions.

   • True
   • False

   Hint

   Consider the requirements of practical applications.

5. 5.

   Consider a company that manufactures furniture with varying demand throughout the year. Create a linear programming model for this scenario, factoring in worker costs, production constraints, and storage.

   Hint

   Be specific about how each variable interacts with the constraints.

6. 6.

   Using a fractional hiring scenario (e.g., hiring 10.5 workers), demonstrate how rounding could impact the overall production costs for a month.

   Hint

   Factor in potential demand shifts due to rounding.