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?

Question

Carrot

Mathematics

25 April, 17:22

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?

+3

Answers (1)

Know the Answer?

Evony · Answer 1

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

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 ofdeluxe coffee. Deluxe coffee costs $7 per pound and regular coffee $5 per pound. How many pounds of each kind of coffee should be used tominimize costs?

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?