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:

Monthly Cycle

The menstrual cycle is a series of natural changes in hormone production and the structures of the uterus and ovaries of the female reproductive system.

Receptor Molecules

Proteins on the surface of cells or within cells that bind to specific molecules, triggering a response.

Target Cells

Cells that are specifically affected by hormones or other biochemical signals.

Water-soluble Hormones

Hormones that are soluble in water, allowing them to easily circulate in the blood and bind to cell surface receptors, triggering a response.