Provide an Appropriate Answer $\frac { \partial \mathrm { w } } { \partial \mathrm { u } }$

question 329

Multiple Choice

Provide an appropriate answer.
-Find $\frac { \partial \mathrm { w } } { \partial \mathrm { u } }$ when $\mathrm { u } = 2$ and $\mathrm { v } = - 5$ if $\mathrm { w } ( \mathrm { x } , \mathrm { y } , \mathrm { z } ) = \frac { \mathrm { xy } } { \mathrm { z } } , \mathrm { x } = \frac { \mathrm { u } } { \mathrm { v } } , \mathrm { y } = \mathrm { u } + \mathrm { v }$ , and $\mathrm { z } = \mathrm { u } \cdot \mathrm { v }$ .

• A) \(\frac { \partial w } { \partial u } = - \frac { 3 } { 25 }\)
• B) \(\frac { \partial \mathrm { w } } { \partial \mathrm { u } } = - \frac { 15 } { 4 }\)
• C) \(\frac { \partial w } { \partial u } = \frac { 12 } { 25 }\)
• D) \(\frac { \partial \mathrm { w } } { \partial \mathrm { u } } = - \frac { 6 } { 25 }\)

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Definitions:

Manufacturing Costs

The total expense involved in the creation of a product, including raw materials, labor, and overhead costs.

Departments

Divisions within an organization, each responsible for specific functions or tasks.

Departmental Predetermined Overhead Rates

Rates calculated in advance for each department, used to assign overhead costs based on estimated activity levels.

Machine-Hours

A measure of the total time that machines are operating, often used as a basis for allocating manufacturing overhead costs.