A lawn and garden store creates three different potting mixes sold in20-pound bags. Mix A contains 12 pounds ofpeat, 5 pounds ofperlite, 3 pounds of organicmaterial, and earns a profit of $2 per20-pound bag. Mix B contains 10 pounds ofpeat, 6 pounds ofperlite, 4 pounds of organicmaterial, and earns a profit of$5 per bag. Mix C contains 8 pounds ofpeat, 8 pounds ofperlite, 4 pounds of organicmaterial, and earns a profit of$6 per bag. There are1,216 pounds ofpeat, 960 pounds ofperlite, and 680 pounds of organic material available every week to make these potting mixes. How many20-pound bags of each mix should be made in order to maximize weeklyprofit?

Can you give me the detail about how to solve this problem?