A farmer has 10 acres available to plant purple potatoes and russet potatoes. Each acre of purple potatoes will yield 2 tons of potatoes and each acre of russet potatoes will yield 4 tons of potatoes. The farmer wants to have at least three times as many tons of purple potatoes as she does russet potatoes. The profit for purple potatoes is $200 per ton and the profit for russet potatoes is $100 per ton. The farmer wants to determine how many acres of each type of potato to plant to maximize profit.
A farmer has 10 acres available to plant purple potatoes and russet potatoes. Each acre of purple potatoes will yield 2 tons of potatoes and each acre of russet potatoes will yield 4 tons of potatoes. The farmer wants to have at least three times as many tons of purple potatoes as she does russet potatoes. The profit for purple potatoes is $200 per ton and the profit for russet potatoes is $100 per ton. The farmer wants to determine how many acres of each type of potato to plant to maximize 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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Transcribed Image Text:A farmer has 10 acres available to plant purple potatoes and russet potatoes. Each acre of purple potatoes will yield 2 tons of potatoes and each
acre of russet potatoes will yield 4 tons of potatoes. The farmer wants to have at least three times as many tons of purple potatoes as she does
russet potatoes. The profit for purple potatoes is $200 per ton and the profit for russet potatoes is $100 per ton. The farmer wants to determine
how many acres of each type of potato to plant to maximize profit.
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