Concept explainers
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.
To find:
1. To write a system of linear inequalities that describes the possible numbers of packages of each kind of blend.
2. To graph the system and label the corner points.
Answer to Problem 59AYU
Solution:
Explanation of Solution
Formula Used:
Given:
A–grade | B–grade | |
Economy blend | 4 oz | 12 oz |
Superior blend | 8 oz | 8 oz |
Store has of A–grade coffee and of B–grade coffee.
Calculation:
Begin by assigning symbols for the two variables.
Because and represents the number of packages, the only meaningful values of and are non–negative.
Therefore,
From the given data and the formula used we get
Therefore, a system of linear inequalities that describes the possible amounts of each investment are
2. The graph of the system and corner points are illustrated in the figure below.
Chapter 11 Solutions
Precalculus
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