Sketch the Graph and Show All Local Extrema and Inflection $(0,-4)$

question 49

Multiple Choice

Sketch the graph and show all local extrema and inflection points.
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• A)Local maximum \( (0,-4) \) Local minimum \( (\ln 5,4-6 \ln 5) \) Inflection point \( \left(\frac{1}{2} \ln 5,-3 \ln 5\right) \)
• B) Local minimum \( \left(\frac{1}{2} \ln 5,-3 \ln 5\right) \) No inflection point
• C)Local maximum \( (0,-4) \) Local minimum \( (\ln 5,4-6 \ln 5) \) No inflection point
• D)Local minimum \( (2,-4) \) No inflection point

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Definitions:

Factors Of Production

The resources used in the creation of goods or services, traditionally categorized into land, labor, capital, and entrepreneurship.

Short Run

A period in economics where at least one input (like capital) is fixed, limiting the ability of a firm to adjust fully to market changes.

Firm's Costs

The expenditures incurred by a company in the process of producing goods or services, including both fixed and variable costs.

Input Decisions

Concerns the selection and use of resources, such as labor, materials, and capital, that are required for the production of goods or services.