3. Suppose a farmer wants to build a rectangular enclosure along an existing stone wall. If the side along the wal...
Q4: A farmer has 375 feet of fence and wants to build a right triangle enclosure along a straight wall. If the side along the wall need no fence, find the dimensions that make the area of the enclosure as large as possible. (5 point) Q5: points A and B move along the x-axis and y-axis, respectively, in such a way that the distance r (meters) along the perpendicular from the origin to the line AB remains constant. How fast...
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?
help with both please a) A company wants to build a parking lot along the side of one of its buildings using 600 feet of fence. If the side along the building needs no fence, what are the dimensions of the largest possible parking lot? BUILDING PARKING LOT b) If the radius of a sphere is increasing at the constant rate of 3 mm per second, how fast it is the volume changing when the surface area (41r2 ) is...
[-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 4. A gardener wants to fence in a rectangular garden with one side along their shed. The side along the shed will not need fencing. If the gardener wants to use all 50 feet of fencing available, what dimensions will yield an enclosed region with an area of 312 square feet? Set up the equation that represents this situation and solve it.
A farmer with 8000 meters of fencing wants to enclose a rectangular plot that borders on a river. If the farmer does not fence the side along the river, what is the largest area that can be enclosed?Does that mean I have to consider it a triangle?
7. 10 pt A fence is to be built to enclose cows in a rectangular area of 200 square feet. The fence along three sides is to be made of material that costs $5 per foot, and the material for the fourth side costs $16 dollars per foot. Find the dimensions of the enclosure that minimize cost, and give the minimum cost to build the fence.
# 33, 43 3.3 Optimization 201 ora- 43. GENERAL: Fences A farmer wants to make three iden- , and n is hich oun uld rofit. tical rectangular enclosures along a straight river, as in the diagram shown below. If he has 1200 yards of fence, and if the sides along the river need no fence, what should be the dimensions of each enclosure if the total area is to be maximized? 77 81 ates is the week. uce maxi- river...
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)
8. (10pts) A rectangular filed is to be enclosed with a fence. One side of the field is against an existing wall, so that no fence is needed on that side. If material for the fence costs $2 per foot for the two ends and $4 per foot for the side parallel to the existing wall, find the dimensions of the field of largest area that can be enclosed for $1000, 9. (11pts) A candy box is made from a...