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A Certain Company Has Cost Function C(x)=1000+2x+0.01x2C ( x ) = 1000 + 2 x + 0.01 x ^ { 2 }

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A certain company has cost function C(x)=1000+2x+0.01x2C ( x ) = 1000 + 2 x + 0.01 x ^ { 2 } and demand function P(x)=740.02xP ( x ) = 74 - 0.02 x . Find the production level x that will yield a maximum profit.


Definitions:

Control

The process of directing, regulating, or managing activities or systems to achieve desired outcomes.

Availability

The degree to which a system, service, or resource is accessible and usable upon demand.

SaaS

Short for Software as a Service, a cloud computing model wherein software applications are hosted by a service provider and made available to customers over the internet.

ASP

Application Service Provider, a business providing computer-based services to customers over a network such as access to a particular software application using a standard protocol like HTTP.

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