A store that specializes in coffee has available 75 pounds o

A store that specializes in coffee has available 75 pounds of A grade coffee and 150 pounds of B grade coffee These will be blended into 1 pound packages as follows. An economy blend contains 4 ounces of A grade coffee and 12 ounces of B grade coffee and a superior blend contains 8 ounces of A grade coffee and 8 ounces of B grade coffee. Complete parts (a) and (b) below. (a) Using x to denote the number of packages of the economy blend and y to denote the number of packages of the superior blend, write a system of linear inequalities that describes the possible number of packages of each kind of blend x+ 2y

Solution

x and y have to be positive or greater than 0

x>=0

y>=0

4x+8y>=75

x+2y>=75/4

12x+8y>=150

3x+2y>=75/2