You plan to put a fence around a rectangular lot. The length of the lot must be at
least 60 feet. The cost of the fence along the length of the lot is $1.50 per foot, and the
cost of the fence along the width is $2 per foot. The total cost cannot exceed $360.
a. Use two variables to write a system of inequalities that models the problem.
b. What is the maximum width of the lot if the length is 60 feet.
So, this is where I'm at..
x = length
y = width
1.5(2x) + 2(2y) ≤ 360
3x + 4y ≤ 360
{y ≤ -5/2x + 90
{x ≥ 60, y ≥ 0
x = 90, y...I went blank
At $15 per square foot the cost of installing flooring in a room with these dimensions is 7ft 5ft 8ft 12 ft
To find the maximum width of the lot when the length is 60 feet, we need to substitute the value of x = 60 into the inequality 3x + 4y ≤ 360 and solve for y.
3(60) + 4y ≤ 360
180 + 4y ≤ 360
4y ≤ 360 - 180
4y ≤ 180
y ≤ 180/4
y ≤ 45
Therefore, the maximum width of the lot when the length is 60 feet is 45 feet.