Mr. Fields owns a 360-acre farm on which he plants corn and soybeans. The labor costs $300 per acre of corn and $150 per acre of soybeans. Mr. Fields can spend up to $60,000 for spring planting. He makes a profit of $340 per acre of corn and $300 per acre of soybeans. How many acres of each should Mr. Fields plant in order to maximize his profits?

Question

Mathematics

Alexis Krause

30 July, 13:00

Mr. Fields owns a 360-acre farm on which he plants corn and soybeans. The labor costs $300 per acre of corn and $150 per acre of soybeans. Mr. Fields can spend up to $60,000 for spring planting. He makes a profit of $340 per acre of corn and $300 per acre of soybeans. How many acres of each should Mr. Fields plant in order to maximize his profits?

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Answers (1)

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Nehemiah Fitzpatrick · Answer 1

360 arces of soybeans and 0 arces of corn

Step-by-step explanation:

The profit per arce of corn = 40 while the profit per arce of soybean = 150

And 360*150 = 54000 which is less than 60000