Question 1198953
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A farmer has a field of 70 acres in which he plants potatoes and corn. 
The seed for potatoes costs $20/acre, the seed for corn costs $60/acre, 
and 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 an acre. 
How many acres of each should the farmer plant?
Acres of potatoes=
Acres of corn=
What is the maximum profit $?
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The seed of potatoes ($20/acre) is cheaper than the seed of corn ($60/acre).

The profit per acre of potatoes ($150) is greater than the profit for corn per acre ($50). 


It makes it clear that the most aggressive strategy should be applied, which is 
to plant the potatoes as much as possible.


There are enough money to buy the potatoes seed for 70 acres 70*20 = 1400 dollars.


So, the optimal strategy is to plant 70 acres of potatoes and do not plant the corn, at all.


<U>ANSWER</U>.  Acres of potatoes = 70.  Acres of corn = 0.  Profit = 70*150 = 10500 dollars.
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Solved.