Use the law of cosines to show that, if 
, then 
.
Definitions:
Purely Competitive
A market structure characterized by many small sellers offering identical products, easy entry and exit, and perfect information, leading to price-taking behavior.
Wage Rate
refers to the amount of compensation that a worker receives in exchange for their labor, usually expressed per hour or per unit of work performed.
Maximize Profits
The process of adjusting inputs and outputs to achieve the highest possible return on investment.
Marginal Revenue Product
The additional revenue a firm generates from employing one more unit of input, such as labor or capital.
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