The total weekly profit (in dollars) that Walmart gets from producing and selling its stationary items is given by P(x, y) = –x²– 3y²+ 60x+ 30y – 1 , where x denotes the number of pencils sold each week and y represents the number of pens sold each week. 1. Determine how many pencils and pens should be produced each week to maximize profit. 2. Determine how many pens must be produced to get a profit of $350 when 6 pencils were made in any one week

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The total weekly profit (in dollars) that Walmart gets from producing and
selling its stationary items is given by P(x, y) = –x²– 3y²+ 60x + 30y – 1
, where x denotes the number of pencils sold each week and y represents
the number of pens sold each week.
1. Determine how many pencils and pens should be produced each
week to maximize profit.
2. Determine how many pens must be produced to get a profit of $350
when 6 pencils were made in any one week
Transcribed Image Text:The total weekly profit (in dollars) that Walmart gets from producing and selling its stationary items is given by P(x, y) = –x²– 3y²+ 60x + 30y – 1 , where x denotes the number of pencils sold each week and y represents the number of pens sold each week. 1. Determine how many pencils and pens should be produced each week to maximize profit. 2. Determine how many pens must be produced to get a profit of $350 when 6 pencils were made in any one week
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