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:

Arbor Vitae

Refers to the "tree of life" arrangement of white matter in the cerebellum that facilitates cerebellar connections.

Corpus Callosum

A large band of neural fibers connecting the two cerebral hemispheres, facilitating communication between them.

Midbrain

The middle portion of the brainstem, involved in vision, hearing, motor control, sleep/wake, arousal, and temperature regulation.

Sheep Brain

An animal brain commonly used in educational dissection classes to study the anatomy and function of the brain due to its similarity to the human brain.