Problema Solution

Deluxe coffee is to mixed with regular coffee to make at least 47 pounds of blended coffee. The mixture must contain at least 12 pounds of deluxe coffee. Deluxe coffee costs $5 per pound and regular coffee $4 per pound. How many pounds of each kind of coffee should be used to minimize costs?

Answer provided by our tutors

To simply minimize costs and require "at least" 12 pounds of deluxe coffee, then 12 pounds of deluxe coffee is used (costs will always increase if more deluxe coffee is mixed in).  That leaves 47-12=35 pounds of regular coffee. 

The actual cost will be:

5*12+4*(47-12)

click here to simplify

200

The blend would cost $200.