A lawn and garden store creates three different potting mixes sold in 20-pound bags. Mix A contains 12 pounds of peat, 5 pounds of perlite, 3 pounds of organic material, and earns a profit of $2 per 20-pound bag. Mix B contains 10 pounds of peat, 6 pounds of perlite, 4 pounds of organic material, and earns a profit of $5 per bag. Mix C contains 8 pounds of peat, 8 pounds of perlite, 4 pounds of organic material, and earns a profit of $6 per bag. There are 1,216 pounds of peat, 880 pounds of perlite, and 640 pounds of organic material available every week to make these potting mixes. How many 20-pound bags of each mix should be made in order to maximize weekly profit?
A lawn and garden store creates three different potting mixes sold in 20-pound bags. Mix A contains 12 pounds of peat, 5 pounds of perlite, 3 pounds of organic material, and earns a profit of $2 per 20-pound bag. Mix B contains 10 pounds of peat, 6 pounds of perlite, 4 pounds of organic material, and earns a profit of $5 per bag. Mix C contains 8 pounds of peat, 8 pounds of perlite, 4 pounds of organic material, and earns a profit of $6 per bag. There are 1,216 pounds of peat, 880 pounds of perlite, and 640 pounds of organic material available every week to make these potting mixes. How many 20-pound bags of each mix should be made in order to maximize weekly profit?
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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Transcribed Image Text:A lawn and garden store creates three different potting mixes sold in 20-pound bags. Mix A contains 12 pounds
of peat, 5 pounds of perlite, 3 pounds of organic material, and earns a profit of $2 per 20-pound bag. Mix B
contains 10 pounds of peat, 6 pounds of perlite, 4 pounds of organic material, and earns a profit of $5 per bag. Mix
C contains 8 pounds of peat, 8 pounds of perlite, 4 pounds of organic material, and earns a profit of $6 per bag.
There are 1,216 pounds of peat, 880 pounds of perlite, and 640 pounds of organic material available every week
to make these potting mixes. How many 20-pound bags of each mix should be made in order to maximize
weekly profit?
| bags of mix A, □ bags of mix B and bags of mix C.
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