# fdr

a rectangular fence is constructed that will enclose 100 ft sq of land. three sides will be built from fencing that costs 10 dollars per foot and the 4th side will be built from fencing that costs 23 dollars per foot. find the dimensions of the rectangular fence that minimizes the cost of materials

1. 👍 0
2. 👎 0
3. 👁 65
1. x by y

x y = 100

23 x + 10 x + 20 y = cost = c

33 x + 20 y = c

y = 100/x
so
33x + 2000/x = c

dc/dx = 0 for min = 33 -2000/x^2

33 x^2 = 2000
x^2 = 60.6
x = 7.785 ft
y = 12.845 ft

1. 👍 0
2. 👎 0
posted by Damon

## Similar Questions

1. ### Algebra 2

2. a farmer has 400 meters of fence with which to enclose a portion of land. the farmer wants to enclose a rectangular piece of ground that is as large as possible. the land is bordered by water on two sides. There are three

asked by monni on May 30, 2014
2. ### Algebra 2

a farmer has 400 meters of fence with which to enclose a portion of land. the farmer wants to enclose a rectangular piece of ground that is as large as possible. the land is bordered by water on two sides. There are three options

asked by Jim on May 29, 2014
3. ### math

a gardner having 150 meters of fencing materials wishes to enclose a rectangular plot of land and also erect a fence across the land parallel to two of the sides.find the maximum area he can enclose

asked by hemant on October 22, 2016
4. ### Algebra 2

a farmer has 400 meters of fence with which to enclose a portion of land. the farmer wants to enclose a rect angular piece of ground that is as large as possible. the land is bordered by water on two sides. There are three options

asked by Kenxgaga on May 29, 2014
5. ### math

a farmer has 400 meters of fence with which to enclose a portion of land. the farmer wants to enclose a rect angular piece of ground that is as large as possible. the land is bordered by water on two sides. There are three options

asked by monni on May 29, 2014
6. ### Math

1. A gardener has 140 feet of fencing to fence in a rectangular vegetable garden. Find the dimensions of the largest area he can fence. Find the possible rectangular area he can enclose. 2. Suppose a farmer has a large piece of

asked by Regina on August 13, 2014
7. ### Calculus

a college is planning to construct a new parking lot. the parking lot must be rectangular and enclose 6000 square meters of land. A fence will surround the parking lot, and another fence parallel to one of the sides will divide

asked by Oswaldo on November 26, 2010
8. ### Calculus

a college is planning to construct a new parking lot. the parking lot must be rectangular and enclose 6000 square meters of land. A fence will surround the parking lot, and another fence parallel to one of the sides will divide

asked by Marc on November 26, 2010
9. ### Algebra 2

Jimmy is wanting to fence a rectangular area of his land along Elm Creek. He will only need to fence 3 sides. If Jimmy has 2000 ft of fencing and wants to enclose the largest possible area, determine the dimensions of the

asked by Nate on February 15, 2018
10. ### math

a farmer with 10,000 meters of fencing wants to enclose a rectangular field and then divide it into two plots with a fence parallel to one of the sides. What is the largest area that can be enclose?

asked by kayla on October 26, 2008

More Similar Questions