From a tract of land, a developer plans to fence a rectangular region and then divide it into two identical rectangular lots by putting a fence down the middle. Suppose that the fence for the outside boundary costs $6 per foot and the fence for the middle costs $4 per foot. If each lot contains 4,600 square feet, find the dimensions of each lot that yield the minimum cost for the fence. Round your answer to two decimal places.
A)Dimensions are 42.19 ft for the side parallel to the divider and 109.03 ft for the other side.
B)Dimensions are 109.03 ft for the side parallel to the divider and 42.19 ft for the other side.
C)Dimensions are 67.82 ft for the side parallel to the divider and 67.82 ft for the other side.
D)Dimensions are 58.74 ft for the side parallel to the divider and 78.32 ft for the other side.
E)Dimensions are 78.32 ft for the side parallel to the divider and 58.74 ft for the other side.

Question

From a tract of land, a developer plans to fence a rectangular region and then divide it into two identical rectangular lots by putting a fence down the middle. Suppose that the fence for the outside boundary costs $6 per foot and the fence for the middle costs $4 per foot. If each lot contains 4,600 square feet, find the dimensions of each lot that yield the minimum cost for the fence. Round your answer to two decimal places. ​​
A)Dimensions are 42.19 ft for the side parallel to the divider and 109.03 ft for the other side.
B)Dimensions are 109.03 ft for the side parallel to the divider and 42.19 ft for the other side.
C)Dimensions are 67.82 ft for the side parallel to the divider and 67.82 ft for the other side.
D)Dimensions are 58.74 ft for the side parallel to the divider and 78.32 ft for the other side.
E)Dimensions are 78.32 ft for the side parallel to the divider and 58.74 ft for the other side.

Quizplus · Accepted Answer

The Answer of From a tract of land, a developer plans to fence a rectangular region and then divide it into two identical rectangular lots by putting a fence down the middle. Suppose that the fence for the outside boundary costs $6 per foot and the fence for the middle costs $4 per foot. If each lot contains 4,600 square feet, find the dimensions of each lot that yield the minimum cost for the fence. Round your answer to two decimal places. ​​
A)Dimensions are 42.19 ft for the side parallel to the divider and 109.03 ft for the other side.
B)Dimensions are 109.03 ft for the side parallel to the divider and 42.19 ft for the other side.
C)Dimensions are 67.82 ft for the side parallel to the divider and 67.82 ft for the other side.
D)Dimensions are 58.74 ft for the side parallel to the divider and 78.32 ft for the other side.
E)Dimensions are 78.32 ft for the side parallel to the divider and 58.74 ft for the other side.

From a Tract of Land, a Developer Plans to Fence