8.2. Carpet Manufacturing Company Example

Try these first

1. 1.

   Define linear programming in your own words.

   Hint

   Consider what parameters we want to maximize or minimize.

2. 2.

   What is the basic cost per carpet produced?

   Hint

   Think about the initial conditions given in the problem.

3. 3.

   What is the primary objective of linear programming?

   • Maximizing profit
   • Minimizing costs
   • Both maximizing profit and minimizing costs

   Hint

   Think about what the main goal of businesses typically is.

4. 4.

   True or False: Overtime production always carries a lower cost.

   • True
   • False

   Hint

   Recall the specific costs discussed earlier in the section.

5. 5.

   Given a demand forecast of 500 carpets, determine how many workers need to be hired or fired to meet monthly production targets at minimum cost, considering labor and overproduction costs.

   Hint

   Start with the current number of workers and calculate based on production limits.

6. 6.

   Consider the storage cost implications of holding 100 surplus carpets. How would this impact total production costs for that month, and what viable strategies can be employed to minimize costs?

   Hint

   Look at the monthly cost implications highlighted in the example.