Minimize the Function F(x) = X + Y, Subject to the Constraint

question 26

Short Answer

Minimize the function f(x) = x + y, subject to the constraint xy = 100, x > 0, y > 0. Use the method of Lagrange multipliers.
Enter your answer exactly as just (a, b), c where (a, b) gives the minimum and c is the Lagrange multiplier as a reduced fraction of form $\frac { d } { e }$ (no words or labels).

---

Definitions:

Commutes

The act of traveling between one’s home and place of work on a regular basis, which can impact one’s work-life balance and daily schedule.

Distraction

Anything that diverts attention away from the focus of activity, potentially decreasing productivity or quality of work.

Mind Map

A visual diagram that represents ideas, tasks, or other items linked to and arranged around a central concept.

Recall

The transfer of information from long-term memory into short-term memory.