Use the Lagrange Multiplier Method to Find Three Positive Numbers

question 186

Short Answer

Use the Lagrange multiplier method to find three positive numbers whose sum is 16 and whose product, x²yz is a maximum.

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Definitions:

Oligopoly

A market structure characterized by a few firms dominating the market, which can lead to limited competition and potentially higher prices for consumers.

Conglomerate

A large corporation composed of diverse companies or divisions in varying industries under one corporate group.

Monopoly

A market structure characterized by a single seller, selling a unique product in the market. In a monopoly market, the seller faces no competition, as he is the sole seller of goods with no close substitute.

Horizontal Merger

A merger occurring between companies in the same industry, often leading to consolidation and potentially impacting competition.