A Rectangular Lot Is to Be Bounded by a Fence

question 511

Essay

A rectangular lot is to be bounded by a fence on three sides and by a wall on the fourth side. Two kinds of fencing will be used with heavy duty fencing selling for $5 a foot on the side opposite the wall. The two remaining sides will use standard fencing selling for $4 a foot. What are the dimensions of the rectangular plot of greatest area that can be fenced in at a cost of $55,200?

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Definitions:

Placebo Effect

The beneficial effect on a patient's health condition following a placebo treatment, due to the patient's belief in the treatment's efficacy.

Sampling Bias

A systematic error in a research study resulting from non-random sampling of participants, leading to unrepresentative sample data.

Experimenter Bias

A type of bias that occurs when a researcher's expectations or preferences about the outcome of a study influence the results obtained.

Socially Desirable Responding

The tendency of respondents to answer questions in a manner that will be viewed favorably by others, often leading to overreporting of "good" behavior and underreporting of "bad" behavior.