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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Definitions:

Intermediary

An entity or person that acts as a middleman between two parties in a transaction or communication, facilitating interactions.

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The collection of software that manages computer hardware resources and provides common services for computer programs.

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The management of financial activities such as savings, investment, and budgeting by an individual or a household.

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Books containing blank checks connected to a checking account, allowing the account holder to write checks for financial transactions.