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3) A company sells two different types of candles, and their profit function for a week is given by p(x, y) = x³ + x²y + 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.

3) A company sells two different types of candles, and their profit function for a week is given by p(x, y) = x³ + x²y + 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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3) A company sells two different types of candles, and their profit function for a week is given by p(x, y) = x³ + x²y + 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:3) A company sells two different types of candles, and their profit function for a week is given by p(x, y) = x³ + x²y + 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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