is this correct

Deluxe coffee is to be mixed with regular coffee to make at least 49 pounds of a blended coffee. The mixture must contain at least 11 pounds of deluxe coffee. Deluxe coffee costs $4 per pound and regular coffee $3 per pound. How many pounds of each kind of coffee should be used to minimize costs? To attain the minimum cost, use 11 pounds of deluxe coffee and 38 pounds of regular coffee