Use the Lagrange Multiplier Method to Find the Maximum Sum

question 10

Short Answer

Use the Lagrange multiplier method to find the maximum sum of 2(x² + y² + z²) if
2(x + 2y + 2z) = 24.

---

Definitions:

Normal Time

The standard duration that a task or activity is expected to take under usual conditions.

Allowance Factor

A multiplier or percentage factor applied in calculations to account for expected deviations or uncertainties in estimates or operational capacities.

Predetermined Time Standards

Time values assigned to specific tasks based on analyses of their elements, used for planning and setting performance targets.