Question

1. Triangle Shirts is a garment manufacturer in the upper Midwest. Among their products are a line of 4 different styles of men’s dress shirts. These shirts are produced at 4 different production facilities. The monthly capacity at each facility, the monthly demand for each shirt style, and the profit per shirt produced at each facility are as follows:

Facility	Style A	Style B	Style C	Style D	Capacity
1	$8	$12	$2	$6	45,000
2	$13	$4	$3	$10	93,000
3	$2	$7	$11	$8	60,000
Demand	28,000	55,000	35,000	70,000

Other somewhat archaic production stipulations are in place. Specifically, at least 10,000 A-style shirts must be produced at facility 1. Further, no more than 20,000 of any of the styles may be produced at facility 2.

Formulate this production problem in a manner that will allow Triangle to satisfy the demand for each style of shirt, while maximizing profit.

Answer 1