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.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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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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