A farmer wishes to fence in a rectangular field of area 1250 square metres. Let the...
For tax reasons, I need to create a rectangular vegetable patch with an area of exactly 200 square feet. The fencing for the east and west sides costs $4 per foot, and the fencing for the north and south sides costs only $2 per foot. What are the dimensions of the vegetable patch with the least expensive fence? north and south sides ft east and west sides ft
A fence must be built to enclose a rectangular area of 45,000 ft?. Fencing material costs $1 per foot for the two sides facing north and south and $2 per foot for the other two sides. Find the cost of the least expensive fence. . The cost of the least expensive fence is $ (Simplify your answer.)
[-75.54 Points] DETAILS SCALCET8 4.7.018. A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the fencing costs $10 per linear foot to install and the farmer is not willing to spend more than $5000, find the...
6. (15) A farmer wishes to enclose a 4000 square meter field and subdivide it into four rectangular plots of equal area with fences parallel to one of the sides. Use the derivative to calculate what the dimensions of the field should be in order to minimize the amount of fencing required.
6. (15) A farmer wishes to enclose a 4000 square meter field and subdivide it into four rectangular plots of equal area with fences parallel to one of the sides. Use the derivative to calculate what the dimensions of the field should be in order to minimize the amount of fencing required.
5. A farmer wishes to fence an area into four rectangular pens of equal size (see diagram). She wants the total area to be 32,000 square feet. What dimensions of fence will enclose this area with the least amount of fence?
A rectangular garden plot must have a fixed area of 500 square feet. The farmer wishes to put up a fence on three sides of the garden. (See figure. No fencing on the dashed side.) x y (a) Find a function f representing the amount of fencing needed in terms of x where x is one side of the garden as shown in the figure. 4 pts (b) Find the minimum amount of fencing possible for this project. (Use your...
One thousand four hundred dollars are available to lence in a rectangular garden. The fencing for the north and south sides of the garden costs $14 per foot The fencing for the cast and west sides costs $35 per foc Find the dimensions of the largest possible garden Let x be the length of the north side of time lence and y be the length of the east side of the fence. Identity the function fixy) to be maximized and...
As a farmer, suppose you want to fence off a rectangular field that borders a river. You wish to find out the dimensions of the field that occupies the largest area, if you have 2500 feet of fencing. Remember that a square maximizes area, so use a square in your work. Draw several diagrams to express the situation and calculate the area for each configuration, then estimate the dimension of largest possible field. . Find the function that models the...
A farmer wishes to erect a fence enclosing a rectangular area adjacent to a barn which is 16 feet long. His plan Barn 16 ft Fenced area for the fenced area indicates the fencing in bold black lines; it shows also that the barn will be used as part of the fencing on one side. Find the largest area, Amar, that can be enclosed if 96 feet of fencing material is available. 1. Amar = 784 sq. ft. 2. Amar...