Deluxe coffee is to be mixed with regular coffeee to make at least 46 pounds of

Question

Deluxe coffee is to be mixed with regular coffeee to make at least 46 pounds of a blended coffee. The mixture must contain at least 14 pounds of deluxe coffee. Deluxe coffee cost $7 per pound and regular coffee $6.00 per pound. How many pounds of each kind of coffee should be used to minimize costs? Deluxe coffee is to be mixed with regular coffeee to make at least 46 pounds of a blended coffee. The mixture must contain at least 14 pounds of deluxe coffee. Deluxe coffee cost $7 per pound and regular coffee $6.00 per pound. How many pounds of each kind of coffee should be used to minimize costs?

Explanation / Answer

Price of deluxe coffee is $7 and mixture contains at least 14 pounds means total amount spend on deluxe coffee is 7*14 = $98. Similarly, the price of regular coffee is $6 and the mixture would contain at least 32 pounds as the total is 46 so 46-14= 32, hence total amount spend on regular coffee is at least 32*6 = $192.

Therefore, the pounds of deluxe and regular coffee used to minimize costs is 14 and 32.

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