Assume that the Natural Fertilizer Company produces 100 pound sacks of 20-10-15 fertilizer for lawns, 100 pound sacks of 11- 15-13 fertilizer for gardens, and 100 pound sacks of 4-8-5 fertilizer for trees, 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 10 tons of nitrate, 9 tons of phosphate, and 7 tons of potash, Assume also that the profit on each sack of lawn fertilizer is $14.00, the profit on each sack of garden fertilizer is $7.00, and the profit on each sack of tree fertilizer is $8.00. Finally, assume the company has a contract to supply at least 1.5 tons of garden fertilizer. How many sacks of each type of fertilizer should the company make in order maximize its profit?

Assume that the Natural Fertilizer Company produces 100 pound sacks of 20-10-15 fertilizer for lawns, 100 pound sacks of 11- 15-13 fertilizer for gardens, and 100 pound sacks of 4-8-5 fertilizer for trees, 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 10 tons of nitrate, 9 tons of phosphate, and 7 tons of potash, Assume also that the profit on each sack of lawn fertilizer is $14.00, the profit on each sack of garden fertilizer is $7.00, and the profit on each sack of tree fertilizer is $8.00. Finally, assume the company has a contract to supply at least 1.5 tons of garden fertilizer. How many sacks of each type of fertilizer should the company make in order maximize its profit?

Name: Assume that the Natural Fertilizer Companyproduces 100 pound sacks of
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Description: Assume that the Natural Fertilizer Companyproduces 100 pound sacks of 20-10-15fertilizer for lawns, 100 pound sacks of 11-15-13 fertilizer for gardens, and 100 poundsacks of 4-8-5 fertilizer for trees, where thenumbers are the percentage by weight o

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Assume that the Natural Fertilizer Company
produces 100 pound sacks of 20-10-15
fertilizer for lawns, 100 pound sacks of 11-
15-13 fertilizer for gardens, and 100 pound
sacks of 4-8-5 fertilizer for trees, 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 10 tons of nitrate, 9 tons of
phosphate, and 7 tons of potash, Assume
also that the profit on each sack of lawn
fertilizer is $14.00, the profit on each sack of
garden fertilizer is $7.00, and the profit on
each sack of tree fertilizer is $8.00. Finally,
assume the company has a contract to
supply at least 1.5 tons of garden fertilizer.
How many sacks of each type of fertilizer
should the company make in order maximize
its profit?

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