39. A farmer has 6 acres of wheat and 4 acres of rye. He urgently needs to harvest, as there is a storm coming. He wants to harvest at least 7 acres within the next 12 hours. It takes him 1 hour to harvest an acre of wheat and 2 hours to harvest an acre of rye. He has a limited amount of fuel left for his harvesting machines, namely 135 L. Harvesting one acre of wheat takes 20L of fuel as it is mechanically harder than harvesting one acre of rye which only takes 10 L. The farmer wants to harvest as much as possible. How many acres of wheat and how many of rye should he harvest to maximize the total harvested area?
39. A farmer has 6 acres of wheat and 4 acres of rye. He urgently needs to harvest, as there is a storm coming. He wants to harvest at least 7 acres within the next 12 hours. It takes him 1 hour to harvest an acre of wheat and 2 hours to harvest an acre of rye. He has a limited amount of fuel left for his harvesting machines, namely 135 L. Harvesting one acre of wheat takes 20L of fuel as it is mechanically harder than harvesting one acre of rye which only takes 10 L. The farmer wants to harvest as much as possible. How many acres of wheat and how many of rye should he harvest to maximize the total harvested area?
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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could you please write it with pen and paper? i appreciate it
Transcribed Image Text:39. A farmer has 6 acres of wheat and 4 acres of rye. He urgently needs to harvest, as there is a storm
coming. He wants to harvest at least 7 acres within the next 12 hours. It takes him 1 hour to
harvest an acre of wheat and 2 hours to harvest an acre of rye. He has a limited amount of fuel left
for his harvesting machines, namely 135 L. Harvesting one acre of wheat takes 20L of fuel as it is
mechanically harder than harvesting one acre of rye which only takes 10 L.
The farmer wants to harvest as much as possible. How many acres of wheat and how many of rye
should he harvest to maximize the total harvested area?
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