Tractor Time
November 18th, 2009
Tractor Time
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Tractor Time
How do I find the maximum in this problem?
Problem: A farmer is planning to raise wheat and barley. Each acre of wheat yields a profit of $50, and each acre of barley yields a profit of $70. To sow the crop, two machines, a tractor and a tiller, are rented. The tractor is available for 200 hours, and the tiller is available for 100 hours. Sowing an acre of barely requires 3 hours of tractor time and 2 hours of tilling. Sowing and acre of wheat requires 4 hours of tractor time and 1 hour of tilling. How many acres of each crop should be planted to maximize the farmers profit?
I have already set up the equations, and made a graph. I just need to get the maximum numbers.
Here's my work:
x 1/2
x 2/9
x 3/30
y 24/480
y 5/180
y 30/720
y= -1/2x+20
y= -9/5x+36
y= -x+24
Do the working yourself!!!
Don't cheat!!!
U R HOT!!!!
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