Question 1123744: nut store normally sells cashews for $4.00 per pound and peanuts for $1.50 per pound. But at the end of the month the peanuts had not sold well, so, in order to sell 40 pounds of peanuts, the manager decided to mix the
40 pounds of peanuts with some cashews and sell the mixture for
$2.00 per pound. How many pounds of cashews should be mixed with the peanuts to ensure no change in the profit?
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
From a practical point of view, you cannot, from the information given, determine a mixture that would maintain the PROFIT. There would be labor and perhaps packaging cost, unspecified in your problem statement, resulting from creating the mixture that would be over and above the cost of the raw materials, namely the peanuts and the cashews. You can, however, find a relation that maintains the REVENUE:
\ +\ 4x\ =\ 2(40\ +\ x))
Where  is the weight of cashews to add to the mix to maintain revenue.
John
My calculator said it, I believe it, that settles it
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