Use the simplex method to solve the following problem. A company manufactures three types of patio furniture: chairs, rockers, and chaise lounges. Each requires wood, plastic, and aluminum as given in Table 15-7. The company has available 400 units of wood, 500 units of plastic, and 1450 units of aluminum. Each chair, rocker, and chaise lounge sells at $7, $8, and $12, respectively. Assuming that all furniture can be sold, determine a production order so that total revenue will be maximum. What is the maximum revenue? Does the company need to use all of the available units of wood, plastic, and aluminum? Make sure you write a sentence or two when you answer the questions.

	WOOD	PLASTIC	ALUMINUM
Chair	1 unit	1 unit	2 units
Rocker	1 unit	1 unit	2 units
Chaise lounge	1 unit	2 units	5 units