
To find: How many pounds of each type of coffeeis required for achieving desired blend.

Answer to Problem 22AYU
48.9 pounds of first coffee that sell for $2.75 per pound and 51.2 pounds of second coffee that sell for $5 per pound should be used in the blend.
Explanation of Solution
Given information:
100 pounds of coffee blend is made with selling price of $3.90 per pound by mixing two coffees that sell for $2.75 and $5 per pound.
Calculation:
As per the given information −
100 pounds of coffee blend is made with selling price of $3.90 per pound by mixing two coffees that sell for $2.75 and $5 per pound.
Let suppose x pound of first type of coffee was used in the blend. Then (100−x) pounds of second type of coffee would have used in blend.
Total price of tea while selling individually,
P=2.75x+5(100−x)
Price of blend would be 3.90×100=390 dollars.
There is no difference in revenue from selling the new blend versus selling coffeesindividually.
i.e. 2.75x+5(100−x)=390⇒2.75x+500−5x=390⇒2.25x=110⇒x=1102.25⇒x=48.9And (100−x)=(100−48.9)=51.2
Hence, 48.9 pounds of first coffeethat sell for $2.75 per pound and 51.2 pounds of second coffee that sell for $5 per pound should be used in the blend.
Chapter A Solutions
Precalculus
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