Problema Solution
A rectangular garden is bounded on one side by a house and is to be fenced on the other three sides. Fencing material costs $15 per foot for the side parallel to the house and $25 per foot for the other two sides, What are the dimensions of the garden of the largest possible area if $1500 is to be spent for fencing material?
Answer provided by our tutors
The width is x and length is y
The equation is
25(2x) + 15y = 1500
50x + 15y = 1500
y = (300-10x)/3
So
Area = xy = x(300-10x)/3
When x = 15, Area is max, y = 50
So when the side parallel to the house is 50 feet, other 2 sides are 15 feet, S is max