Question

Deluxe coffee is to be mixed with regular coffee to make at least 5151 pounds of a blended coffee. The mixture must contain at least 99 pounds of deluxe coffee. Deluxe coffee costs ​$55 per pound and regular coffee ​$33 per pound. How many pounds of each kind of coffee should be used to minimize​ costs?

Answer 1

9 pounds of deluxe

42 pounds of regular

Explanation:

given data

Deluxe coffee mix with regular coffee = 51

mix contains deluxe coffee = 9 pounds

Deluxe coffee costs ​$5

regular coffee costr = ​$3

solution

we consider here

deluxe coffee = x lbs

regular coffee = y lbs

and

x+ y ≥ 52

and mixture contains at least 9 pounds of deluxe coffee

so x ≥ 9

and

cost equation will be

cost C = 5x + 3 y

deluxe costs more than regular

and here we want to use as possible as to minimize the cost

so least amount

x + y = 51

x = 9

y = 51 - 9

y = 42