# calculus

Find the dimensions of the rectangular garden of greatest area that can be fenced off for \$6000, if the cost of fencing is \$5 per meter.

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1. cost = 5 (2x+2y)
6000 = 10x + 10 y
x+y = 600
so y = 600-x
A =xy = 600x-x^2

dA/dx = 0 at max = 600 -2x
x = 300
then y = 300
so square

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