A = x y
50 x + 20 (2y) = 2000
or
5 x + 4 y = 200
5 x + 4 A/x = 200
5 x^2 - 200 x - 4A = 0
where is vertex of parabola?
-b/2a = 200/10 =20
so x = 20
5(20) + 4 y = 200
4 y = 100
y = 25
A farmer wants to fence a small rectangular yard next to a barn. Fence for side parallel to the barn will cost 50 per foot and the fence for the other two sides will cost20 per foot. The farmer has a total of 2000 dollars to spend on the project. Find the dimensions for the yard that will have the largest possible area
1 answer
1 answer