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?
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?
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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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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