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 SuperRich. The amount of nitrogen, phosphoric acid, and potash per 100 pounds for each brand is given by the nutrient vectors below. -0-0-0 p = 25 b = 19 Vigoro Parker's Bleyer's Determine the linear transformation T: R³ R³ that takes T(x) = V = X vector of brand amounts (in hundreds of pounds) as input and gives the nutrient vector as output. (A graphing calculator is recommended.) Find a formula for T1, and use it to determine the amount of Vigoro, Parker's, and Bleyer's required to produce the specified nutrient mix. 1417 pounds of nitrogen, 729 pounds of phosphoric acid, and 284 pounds of potash (Vigoro, Parker's, Bleyer's) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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 SuperRich. The amount of nitrogen,
phosphoric acid, and potash per 100 pounds for each brand is given by the nutrient vectors below.
-0-0-0
p=
25 b = 19
Vigoro Parker's
Bleyer's
Determine the linear transformation T: R³ R³ that takes vector of brand amounts (in hundreds of pounds) as input and gives the nutrient vector as output. (A graphing calculator is recommended.)
T(x) =
V =
X
Find a formula for 71, and use it to determine the amount of Vigoro, Parker's, and Bleyer's required to produce the specified nutrient mix.
1417 pounds of nitrogen, 729 pounds of phosphoric acid, and 284 pounds of potash
(Vigoro, Parker's, Bleyer's) =
Transcribed Image Text: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 SuperRich. The amount of nitrogen, phosphoric acid, and potash per 100 pounds for each brand is given by the nutrient vectors below. -0-0-0 p= 25 b = 19 Vigoro Parker's Bleyer's Determine the linear transformation T: R³ R³ that takes vector of brand amounts (in hundreds of pounds) as input and gives the nutrient vector as output. (A graphing calculator is recommended.) T(x) = V = X Find a formula for 71, and use it to determine the amount of Vigoro, Parker's, and Bleyer's required to produce the specified nutrient mix. 1417 pounds of nitrogen, 729 pounds of phosphoric acid, and 284 pounds of potash (Vigoro, Parker's, Bleyer's) =
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