Minimum Cost

question 381

Multiple Choice

Minimum cost.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 $7 per foot and the fence for the middle costs $4 per foot.If each lot contains 5000 square feet,find the dimensions of each lot that yield the minimum cost for the fence. ​

• A) Dimensions are 51.59 ft for the side parallel to the divider and 96.92 ft for the other side.
• B) Dimensions are 96.92 ft for the side parallel to the divider and 51.59 ft for the other side.
• C) Dimensions are 70.71 ft for the side parallel to the divider and 70.71 ft for the other side.
• D) Dimensions are 88.19 ft for the side parallel to the divider and 56.7 ft for the other side.
• E) Dimensions are 56.7 ft for the side parallel to the divider and 88.19 ft for the other side.

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