# Consider the linear programming problem

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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1. maximize
150 x + 50 y

x + y <=70

20 x + 60 y <= 3000

x>= 0
y>= 0
x+y >=1 to fill in input form only
http://www.wolframalpha.com/widget/widgetPopup.jsp?p=v&id=1e692c6f72587b2cbd3e7be018fd8960&title=Linear%20Programming%20Calculator&theme=blue

result 10500 at (70,0)

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2. which we could have seen without doing the problem :) The potato seed costs less and the profit is more

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3. Thanks!

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4. You are welcome.

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