Chapter 4.2, Problem 29E

Potting Soil Mixes 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, and 3 pounds of organic material and earns a profit of $3 per 20-pound bag. Mix B contains 10 pounds of peat, 6 pounds of perlite, and 4 pounds of organic material and earns a profit of $5 per 20-pound bag. Mix C contains 8 pounds of peat, 8 pounds of perlite, and 4 pounds of organic material and earns a profit of $6 per 20-pound bag. There are 1200 pounds of peat, 800 pounds of perlite, and 600 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?