5. A farmer wishes to fence an area into four rectangular pens of equal size (see...
A farmer is building a fence to enclose a rectangular area consisting of two separate regions. The four walls and one additional vertical segment (to separate the regions) are made up of fencing, as shown below. If the farmer has 162 feet of fencing, what are the dimensions of the region which enclose the maximal area?
A farmer has 2400 feet of fence to enclose a rectangular area. What dimensions for The rectangle with the maximum area enclosed by the fence has a length offt and a widt on the rectangle result in the maximum area enclosed by the lence?
A farmer wishes to fence in a rectangular field of area 1250 square metres. Let the length of each of the two sides (facing north-south) of the field be z metres, and the length of each of the other two sides (facing east-west) be y metres. The price of normal fencing is S5 per metre. However the northern edge of the fence needs special wind protection, and that will make that edge of the fence three times as expensive, per...
- A farmer with 650 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens?
A farmer with 700 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens.
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...
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.
all of them please CU . a) A farmer wishes to enclose a rectangular pen whose area is 168 ft?.On 3 of the sides, he can use regular Fencing, which costs S3/ft. On the remaining side, he must use heavy-duty fencing, which costs S4/ft. Find the dimensions and cost of the most economical fence? ocus b) An open box with a square base must a have a volume of 864 in3. Find the least amount (area) of thin cardboard needed...
A fence is to be built to enclose a rectangular area of 230 square feet. The fence along three sides is to be made of material that costs 5 dollars per foot, and the material for the fourth side costs 15 dollars per foot. Find the dimensions of the enclosure that is most economical to construct.