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A farmer has 10 acres to plant in corn, soybeans and wheat. He has only $1500 to spend where each acre of corn costs $200 to plant, each acre of soybeans costs $50 to plant, and each acre of wheat costs $100 to plant. Moreover, the farmer has to get the planting done in 12 hours and it takes 1 hour to plant an acre of corn, 2 hours to plant an acre of soybeans, and 1 hour to plat an acre of wheat. If the profit is $500 per acre of corn, $300 per acre of soybeans, and $250 per acre of wheat; what is the maximized profit?

A farmer has 10 acres to plant in corn, soybeans and wheat. He has only $1500 to spend where each acre of corn costs $200 to plant, each acre of soybeans costs $50 to plant, and each acre of wheat costs $100 to plant. Moreover, the farmer has to get the planting done in 12 hours and it takes 1 hour to plant an acre of corn, 2 hours to plant an acre of soybeans, and 1 hour to plat an acre of wheat. If the profit is $500 per acre of corn, $300 per acre of soybeans, and $250 per acre of wheat; what is the maximized profit?

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 64P
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A farmer has 10 acres to plant in corn, soybeans and wheat. He has only $1500 to spend where each acre of corn costs $200 to plant, each acre of soybeans costs $50 to plant, and each acre of wheat costs $100 to plant. Moreover, the farmer has to get the planting done in 12 hours and it takes 1 hour to plant an acre of corn, 2 hours to plant an acre of soybeans, and 1 hour to plat an acre of wheat. If the profit is $500 per acre of corn, $300 per acre of soybeans, and $250 per acre of wheat; what is the maximized profit?
Transcribed Image Text:A farmer has 10 acres to plant in corn, soybeans and wheat. He has only $1500 to spend where each acre of corn costs $200 to plant, each acre of soybeans costs $50 to plant, and each acre of wheat costs $100 to plant. Moreover, the farmer has to get the planting done in 12 hours and it takes 1 hour to plant an acre of corn, 2 hours to plant an acre of soybeans, and 1 hour to plat an acre of wheat. If the profit is $500 per acre of corn, $300 per acre of soybeans, and $250 per acre of wheat; what is the maximized profit?
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