Suppose that you are in the garden supply business. Naturally, one of the things that you sell is fertilizer. You have three brands available: Vigoro, Parker’s, and Bleyer’s. The amount of nitrogen, phosphoric acid, and potash per 100 pounds for each brand is given by the nutrient vectors
Vigoro
Parker’s
Bleyer’s
Determine the linear transformation that takes a vector of brand amounts (in hundreds of pounds) as input and gives the nutrient vector as output.
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Then find a formula for , and use it to determine the amount of Vigoro, Parker’s, and Bleyer’s required to produce pounds of nitrogen, pounds of phosphoric acid and pounds of potash.
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You can earn partial credit on this problem.