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

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Definitions:

Estimated Cost

A projection or approximation of the cost to produce a product or complete a project.

Cost Graphs

A visual representation used in economics and accounting to display the relationship between costs and various levels of activity.

Direct Labor

The labor costs associated with employees who directly contribute to the production of goods or the provision of services.

Straight-line Depreciation

A method of allocating an asset’s cost evenly across its useful life.