Deluxe coffee is to be mixed with regular coffee to make at least 46 pounds of a blended coffee. The mixture must contain at least 11 pounds of
deluxe coffee. Deluxe coffee costs $7 per pound and regular coffee $5 per pound. How many pounds of each kind of coffee should be used to
minimize costs?

11 pounds of deluxe, 35 pounds of regular

Step-by-step explanation:

If d is pounds of deluxe coffee, r is pounds of regular coffee, and C is the total cost, then:

d ≥ 11

d + r ≥ 46

C = 7d + 5r

Since deluxe costs more than regular, we want to use as little as possible to minimize the cost.

d = 11

r = 35

C = 252

a negative exponent is translated as follows:

so, we have