Problem:

A furniture making company makes tables and chairs.

It has two machines; M1 and M2.

To make a table requires 7 mins in machine M1 and 5 mins in M2. To make a chair requires 4 mins in M1 and 5 mins in M2.

A table can be sold for 25 profit, a chair for 15 profit.

Over the next month, machine M1 can run for 5 hours, and machine M2 for 6 hours.

1. What are the Decision Variables? 2. Which is the Objective Function? 3. Determine the optimal mix of products in terms of contributions to profits for this month.