

13. Farmer MacDonald has two pigs that do not get along. He needs to build a...
A farmer has 400 feet of fencing with which to build a rectangular pen. He will use part of an existing straight wall 100 feet long as part of one side of the perimeter of the pen. What is the maximum area that can be enclosed? Hint: Find an equation for the area of the pen using one variable then use your constraints to determine your interval values)
6. A farmer is to construct two pens in such a way that it is a rectangle split into two equal parts and is against a barn so that he can use the side of the bar as a side, see accompanying figure not needing to use any fencing material on that barn side. If he has 2000 feet of fencing material, what are the dimensions of the pen(s) that would maximize the area enclosed by the fence? Pen B...
7.(7 points) Farmer Joe has 48 feet of fence and wants to build two pens to hold his pigs because he's tired of them getting into his house (just look how menacing they arel) He plans to do this by building one large rectangular pen and splitting it down the middle with a length of fence. What dimensions (labeled x and y in the picture below) should the farmer use to maximize the area enclosed? (Must use calculus to get...
A rancher has 5370 feet of fencing to enclose a rectangular area bordering a river. He wants to separate his cows and horses by dividing the enclosure into two equal parts. If no fencing is required along the river, find the length of the center partition that will yield the maximum area. Find the length of the side parallel to the river that will yield the maximum area. Find the maximum area.
a farmer has 500m of fencing to build a rectangular enclosure along a river.No fencing is needed along the riverbank.what would be the maximum area enclosed by the fence?what would be the equation?
A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 80ft of fence? 800 sq ft?What should the dimensions of the garden be to give this area? 40ft is given so I answered with 40x20?Is this correct?
A woman has a form that is adjacent to a river, Suppose she wants to build a rectangular pen for her cows with 680 feet of fencing. If one side of the pen is the river (her cow will not swim away), What is the area of the largest pen she build? can
3. Suppose a farmer wants to build a rectangular enclosure along an existing stone wall. If the side along the wall needs no fence, find the dimensions of the largest enclosure that can be made with 500 feet of fence. Show all work.
Farmer Ed has 950 meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the river, find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed? 950 - 2x The width, labeled x in the figure, is meters. (Type an integer or decimal.) The length, labeled 950 - 2x in the figure, is meters....
Justin wants to build a fence for his rectangular garden. He has 280 meters of fencing. Suppose that a side length (in meters) of the garden is x, as shown below. (a) Find a function that gives the area A (x) of the garden (in square meters) in terms of x. A(x) = X 5 ? (b) What side length x gives the maximum area that the garden can have? Side length x : meters (c) What is the maximum...