Answered: Assume that the company produces 100…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter12: Quadratic Functions

Section12.8: Joint And Combined Variation

Problem 11P

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Assume that the company produces 100 pound sacks of 35-25-15 fertilizer for lawns and 100 pound sacks of 13-15-15 fertilizer for gardens, where the numbers are the percentage by weight of nitrate, phosphate, and potash, respectively, in each sack. Assume also that the company has on hand 13 tons of nitrate, 11 tons of phosphate, and 10 tons of potash. Assume also that the profit on each sack of lawn fertilizer is $15.00 and the profit on each sack of garden fertilizer is $7.00. How many sacks of each type of fertilizer should the company make in order maximize its profit?

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