A company sells two different types of candles, and their profit function for a week is given by p(x, y) = x³ + x?y + 2y², where x represents the amount red candles and y represents the amount of green candles, in thousands. Determine how many of each candle the company should make to maximize their profit, if the factory can only make 1000 total candles in a week.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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A company sells two different types of candles, and their profit function for a week
is given by p(x, y) = x³ + x?y + 2y², where x represents the amount red candles
and y represents the amount of green candles, in thousands. Determine how many
of each candle the company should make to maximize their profit, if the factory can
only make 1000 total candles in a week.
Transcribed Image Text:A company sells two different types of candles, and their profit function for a week is given by p(x, y) = x³ + x?y + 2y², where x represents the amount red candles and y represents the amount of green candles, in thousands. Determine how many of each candle the company should make to maximize their profit, if the factory can only make 1000 total candles in a week.
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