Math  /  Data & Statistics

QuestionUse the graph at right to answer the following questions.\text{Use the graph at right to answer the following questions.} What is the monopolist’s profit-maximizing output?\text{What is the monopolist's profit-maximizing output?} \, \square
\text{The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.}
\text{Dialogue Transcript:}
\text{Hi there! It looks like you have a question about finding the monopolist's profit-maximizing output using a graph. However, it seems like some crucial information is missing, specifically the graph itself.}
\text{To help you determine the profit-maximizing output, I need to know more about the graph, such as:}
\begin{itemize} \item \text{The demand curve} \item \text{The marginal cost curve} \item \text{The marginal revenue curve} \end{itemize}
\text{Could you provide a description of these elements, or alternatively, any details you can see from the graph? Once I have that information, I will be able to guide you through finding the monopolist's profit-maximizing output.}
\text{The marginal cost is the MC on the graph. The marginal revenue is the MR on the graph and the demand curve is the D on the graph.}

Studdy Solution

STEP 1

1. The graph includes a demand curve (D), marginal revenue curve (MR), and marginal cost curve (MC).
2. The profit-maximizing output for a monopolist occurs where the marginal revenue equals the marginal cost (MR = MC).

STEP 2

1. Identify the intersection point of the MR and MC curves.
2. Determine the corresponding output level on the x-axis.

STEP 3

Locate the intersection point of the MR and MC curves on the graph.

STEP 4

Verify that the intersection point represents the condition MR=MC MR = MC .

STEP 5

From the intersection point, trace down vertically to the x-axis to find the corresponding output level.
The monopolist's profit-maximizing output is the output level where the MR and MC curves intersect.

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