A farmer has a field of 70 acres on which he plants potatoes and corn. The seed for potatoes costs $20/acre and the seed for corn costs $60/acre. The farmer has set aside $3000 to spend on seed. The profit per acre of potatoes is $150 and the profit for corn is $50 per acre. How many acres of potatoes and corn should the farmer plant to maximize his profits?

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
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Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
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1. A farmer has a field of 70 acres on which he plants potatoes and corn. The seed for potatoes costs $20/acre
and the seed for corn costs $60/acre. The farmer has set aside $3000 to spend on seed. The profit per acre
of potatoes is $150 and the profit for corn is $50 per acre. How many acres of potatoes and corn should the
farmer plant to maximize his profits?
Transcribed Image Text:1. A farmer has a field of 70 acres on which he plants potatoes and corn. The seed for potatoes costs $20/acre and the seed for corn costs $60/acre. The farmer has set aside $3000 to spend on seed. The profit per acre of potatoes is $150 and the profit for corn is $50 per acre. How many acres of potatoes and corn should the farmer plant to maximize his profits?
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