Question
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.
Answers
Damon
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
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