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Blending Coffee Bill’s Coffee House, a store that specializes in coffee, has available 75 pounds ( ) of grade coffee and 120 lb of grade coffee. These will be blended into 1-lb packages as follows: an economy blend that contains 4 ounces ( ) of grade coffee and 12 oz of grade coffee, and a superior blend that contains 8 oz of grade coffee and 8 oz of grade coffee.
a. Using to denote the number of packages of the economy blend and to denote the number of packages of the superior blend, write a system of linear inequalities that describes the possible numbers of packages of each kind of blend.
b. Graph the system and label the corner points.
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