Problem 6. Formulate and solve a Linear Program for the following problem:

A company makes both wooden tables and chairs which each require cutting machine time and sanding machine time (both in minutes) to be created. Once created they retail for the costs shown in the table. There are only 68 hours of cutting machine time and 96 hours of sanding machine time available. Also, they are sold in sets of four chairs to one table so any made over that ratio would go unsold.

	Cutting	Sanding	Retail
Chair	12	15	12
Table	27	60	42

In Question 6, what is the limiting factor for how many tables and chairs sets can be made?

From Question 6, what is the maximum profit that can currently be achieved?