Formulate an Linear Program Patagonia, Inc. is working on developing a new workwear line of clothes, and much of the work centers on developing new fabrics. A new outerwear fabric is requested from the product designers, which could be made with a combination of different fibers, including cotton, hemp, polyester, wool, and spandex. Each of these component fibers has a warmth, stretch, and strength rating per pound (seen in the table below), and the final blend of fibers must meet minimum requirements in each of these dimensions. There are several additional requirements. First, at least 55% of the final blend needs to be some combination of cotton and hemp. Spandex should not be more than 8% of the final

	Rating (per pound of fiber)
Fiber	Warmth	Stretch	Strength	Cost per lb.
Cotton	4	2	7	$ 2.50
Hemp	4	2	9	$ 3.00
Polyester	3	5	10	$ 1.50
Wool	9	6	8	$ 6.00
Spandex	0	9	4	$ 0.50
Min. Required	7.5	3.5	9