Find the Absolute Maximum and Minimum Value Of $f ( x , y ) = x ^ { 2 } - 3 y ^ { 2 } - 2 x + 6 y$

question 179

Essay

Find the absolute maximum and minimum value of $f ( x , y ) = x ^ { 2 } - 3 y ^ { 2 } - 2 x + 6 y$ on the square region $D$ with vertices $( 0,0 )$ , $( 0,2 )$ , $( 2,2 )$ , and $( 2,0 )$ .

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Definitions:

Activity-based Costing

A costing method that assigns overhead and indirect costs to related products and services based on their usage of resources.

Plantwide Overhead Rate

A single overhead absorption rate used throughout a manufacturing plant for assigning overhead costs to products.

Cost Pool

A grouping of individual costs, typically by department or service center, from which cost allocations are made.

Departmental Overhead Rate

This is a method of allocating overhead costs to specific departments based on their respective proportions of an allocation base, such as machine hours or labor hours.