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3x + y = 3480
therefore, y = 3480 - 3x
Area = (x)(y) = (x)(3480 - 3x) = 3480x - 3x^2
The derivative of the Area = 3480 - 6x
To find the maximum area, we set the derivative equal to zero:
3480 - 6x = 0
6x = 3480
x = 3480/6
x = 580 yds
The area is (580)(1740) = 1,009,200 yd^2
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