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 pounds of deluxe coffee. Deluxe coffee costs $6 per pound and regular coffee $3 per pound. How many pounds of each kind of coffee should be used to minimize costs?
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Answer:
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
Step-by-step explanation:
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