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14 November, 19:08

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?

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  1. 14 November, 20:50
    0
    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
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