Romans Food Market, located in Saratoga New York, carries a variety of specialty foods from around the world. Three of the store's leading products are coffee blends: Mountain Blend, Coastal Blond, and Caffeine Extreme. These coffees are blends created by Romans, and are combinations of coffee beans from four different sources: Brazilian Natural, Columbian Mild, Ecuadoran Dark, and Java Blond. These four coffees are sourced from a distributor in New York City. The characteristics of each source are seen below:

CaffeineTannin$/poundLbs. Available

Braz. Nat.29%22%3.642000

Col. Mild12%9%2.463000

Ecu. Dark40%20%4.86800

Java Blond16%4%2.384500

Romans has determined, from past sales records, that they can sell as much as 2500 pounds of the Mountain Blend at $12 per pound. They can sell as much as 5000 pounds of Coastal Blond at $9.50 per pound. And they can sell up to 1000 pounds of Caffeine Extreme for $15 per pound.

In developing the recipes for each coffee they sell, Romans determined certain standards for caffeine and tannin in their blends. The Mountain Blend must be at least 26% caffeine and at least 16% tannin. The Coastal Blond has to be no more than 16% caffeine and no more than 10% tannin. And the Caffeine Extreme must be at least 32% caffeine and at least 18% tannin.

I need help constructing a linear program to determine the best way to blend the four coffee sources to make the three blends that Romans sells. The best combination will meet all quality restrictions, and provide for the most profit possible.