Evaluate the Integral $$\int _ { 4 } ^ { 7 } \int _ { 5 } ^ { 9 } \int _ { 0 } ^ { 7 r } r \mathrm {~d} \theta \mathrm { dr } \mathrm { dz }$$

question 289

Multiple Choice

Evaluate the integral.
- $$\int _ { 4 } ^ { 7 } \int _ { 5 } ^ { 9 } \int _ { 0 } ^ { 7 r } r \mathrm {~d} \theta \mathrm { dr } \mathrm { dz }$$

• A) \(\frac { 71,876 } { 3 }\)
• B) 33,824
• C) 4228
• D) \(\frac { 42,280 } { 3 }\)

---

Definitions:

Efficiency

The ratio of the output produced to the input used in the production process, often used as a measure of performance in operations and processes.

Process Layout

An arrangement of resources in a production system where similar processes are grouped together, optimizing for flexibility in job execution.

Load-distance Model

A model used in facility layout planning that seeks to minimize the weighted distance between all points in the layout.

Facilities Manager

A professional responsible for ensuring the optimal operation of buildings and facilities, including maintenance, safety, and compliance with regulations.