The Total Daily Profit (In Dollars) Realized by Weston Publishing

question 176

Essay

The total daily profit (in dollars) realized by Weston Publishing in publishing and selling its dictionaries is given by the profit function where x stands for the number of deluxe editions and y denotes the number of standard editions sold daily. Weston's management decides that publication of these dictionaries should be restricted to a total of exactly 400 copies/day. How many deluxe copies and how many standard copies should be published each day to maximize Weston's daily profit?
Find the number of deluxe copies.
Find the number of standard copies.

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Definitions:

Tortious Act

A wrongful act or infringement of a right leading to legal liability, not arising from a contract or statute.

Estopped

A legal principle that prevents someone from arguing something contrary to a claim previously made or accepted in court.

Commission of a Tort

The act of committing a wrongful act, excluding breach of contract, for which a civil action can be brought.

Respondeat Superior

A doctrine under which a principal-employer is liable for any harm caused to a third party by an agent-employee in the course or scope of employment.