A rectangular area of 3200 ft^2 is to be fenced off.two opposite sides will use fencing costing $1 per foot and the remaining sides will use fencing costing $2per foot.find the dimensions of the rectangular of least cost.
Last edited by mr fantastic; Mar 1st 2010 at 01:49 AM.
Reason: Edited post title
A rectangular area of 3200 ft^2 is to be fenced off.two opposite sides will use fencing costing $1 per foot and the remaining sides will use fencing costing $2per foot.find the dimensions of the rectangular of least cost.
let x = side length that costs $1 per ft
y = side length that cost $2 per ft
xy = 3200
C = (1)(2x) + (2)(2y)
get the cost function in terms of a single variable, take the derivative , and minimize the cost.