The Results of an Election Are Summarized in the Following

question 4

Short Answer

The results of an election are summarized in the following preference table. If the plurality method is used to determine the winner, decide whether the head-to-head comparison criterion has been violated and explain your answer.

$\begin{array}{l|cccc}\text { Number of votes } & 2 & 15 & 18 & 1 \\\hline \text { First choice } & \mathrm{Z} & \mathrm{W} & \mathrm{Z} & \mathrm{C} \\\text { Second choice } & \mathrm{W} & \mathrm{Z} & \mathrm{C} & \mathrm{W} \\\text { Third choice } & \mathrm{C} & \mathrm{C} & \mathrm{W} & \mathrm{Z}\end{array}$

A) No. In a head-to-head comparison Z won over C and W.
B) Yes. In a head-to-head comparison Z won over W but lost to C.
C) No. Z is the plurality winner.
D) Yes. In a head-to-head comparison Z won over C but lost to W.

• A) No. In a head-to-head comparison Z won over C and W.
• B) Yes. In a head-to-head comparison Z won over W but lost to C.
• C) No. Z is the plurality winner.
• D) Yes. In a head-to-head comparison Z won over C but lost to W.

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Definitions:

Firm

An organization or business entity that produces goods or provides services with the aim of earning profits for its owners or shareholders.

Variable Costs

Expenses that fluctuate in direct proportion to the volume of production or output.

Fixed Cost

Costs that do not vary with the level of production or sales, such as rent, salaries, or insurance.

Lawn-mowing

The action or process of cutting the grass of a lawn, typically using a lawn mower.