Question in description

Question

Deluxe coffee is to be mixed with regular coffee to make at least

4242

pounds of a blended coffee. The mixture must contain at least

99

pounds of deluxe coffee. Deluxe coffee costs

​$66

per pound and regular coffee

​$44

per pound. How many pounds of each kind of coffee should be used to minimize​ costs?

To attain the minimum​ cost, use

nothing

pounds of deluxe coffee and

nothing

pounds of regular coffee.

Answer 1

Let D = lbs of Deluxe coffee

R = lbs of Regular coffee

with constraints

D>= 99

D+R>=4242

Minimize 66D + 44R

As you might expect, the solution is

D= 99

R= 4143

and the minimum cost is $188,826.