Find Two Positive Numbers Who Sum Is Eighteen and Whose

question 111

Short Answer

Find two positive numbers who sum is eighteen and whose product is a maximum, using the method of Lagrange multipliers

---

Definitions:

Labor

The contribution of human physical and mental energies in the fabrication of goods and the supply of services.

Technological Change

The development and application of new processes, tools, and machines, leading to more efficient production methods.

Demand Curve

A graphical representation showing the relationship between the price of a good and the quantity of the good that consumers are willing and able to purchase at various prices.

Marginal Product

The additional output that is produced by adding one more unit of a specific input while holding all other inputs constant.