Use Lagrange Multipliers to Find the Maximum and Minimum Values $f ( x , y , z ) = 5 x - y - 5 z$

question 15

Short Answer

Use Lagrange multipliers to find the maximum and minimum values of the function $f ( x , y , z ) = 5 x - y - 5 z$ subject to the constraints $x + 2 y - z = 0$ and $x ^ { 2 } + 4 y ^ { 2 } = 1$

---

Definitions:

Periodic Inventory System

An inventory accounting system where the inventory count is physically conducted at specific periods, leading to adjustments in the accounts at each period end.

Inventory Cost

The total cost associated with acquiring, storing, and preparing goods for sale, including purchase price, storage, and handling costs.

Direct Method

A way of preparing the cash flow statement where actual cash flows from operating activities are listed directly.

Periodic Inventory System

An accounting method where inventory is physically counted and valued at specific intervals, typically at the end of an accounting period.