At a Certain Factory,the Output Q Is Related to Inputs $Q ( x , y ) = 2 x ^ { 3 } + 2 x ^ { 2 } y ^ { 4 } + 9 y ^ { 5 }$

question 19

Multiple Choice

At a certain factory,the output Q is related to inputs x and y by the expression $Q ( x , y ) = 2 x ^ { 3 } + 2 x ^ { 2 } y ^ { 4 } + 9 y ^ { 5 }$ .If 0 $\leq$ x $\leq$ 8 and 0 $\leq$ y $\leq$ 10,what is the average output of the factory? (Approximate to 2 decimal places.)

• A)111,504.00 units
• B)235,589.33 units
• C)235,590.13 units
• D)308,341.33 units

---

Definitions:

Scientific Studies

Research investigations conducted following systematic methodology to discover or interpret new knowledge or applications in various fields of science.

Experiment

A carefully controlled artificial situation that allows researchers to manipulate variables and measure the effects.

Field Research

The collection of raw data and information from real-life settings outside of a laboratory or structured environment.

Ethical Family Research

The practice of conducting research on family dynamics, structures, and relationships in a manner that respects the rights and dignity of participants.