A Jakarta-based furniture maker produces the antique tables and chairs  for special market target in Dubai. He has 6 units of wood and 28 hours of free time, in which he will make those antique table and chairs. Both tables and chairs have sold well in the past, so he will restrict himself to those two. He estimates that an antique table requires 2 units of wood and 7 hours of time, while an antique chair requires 1 unit of wood and 8 hours of time. The profits of both antique furniture products are $120 and $80 respectively.  
Assuming that furniture company is interested in maximizing the total profit contribution, answer the following:

What is the linear programming model for this problem?
Find the optimal solution using the simplex method procedure, How many tables and chairs should the furniture maker be produced.
What is the project total profit contribution the furniture maker can earn with the given production quantities?
Is there any unused material (slack)?  If so, how much?

Answer rating: 100% (QA)

Linear Programming Model Maximize P 120x 80y Subject to 2x y 6 wood 7x 8y 28 time x number of tables ... View the full answer