Profit from perfect price discrimination (x) is $88200. (Enter your response as a whole number.) Corresponding consumer surplus is (enter your response as whole numbers): welfare is and deadweight loss is Profit from single-price profit-maximization is z = $44100. (Enter your response as a whole number.) Corresponding consumer surplus is (enter your response as whole numbers): welfare is and deadweight loss is CS=$0. W = $ 88200 DWL = $0. CS=$ 22050 W = $ 66150 DWL = $ 22050

ENGR.ECONOMIC ANALYSIS
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### Economic Analysis of Monopoly Pricing

If a monopoly faces an inverse demand curve of:

\[ p = 450 - Q \]

and has a constant marginal and average cost of $30, it can perfectly price discriminate. The following outlines the economic outcomes in terms of profit, consumer surplus, welfare, and deadweight loss under both perfect price discrimination and single-price profit-maximization scenarios.

#### Perfect Price Discrimination

- **Profit (\(\pi\))**: $88,200
- **Consumer Surplus (CS)**: $0
- **Welfare (\(W\))**: $88,200
- **Deadweight Loss (DWL)**: $0

In this scenario, the firm captures all consumer surplus, maximizing its own profit and ensuring total welfare with no deadweight loss.

#### Single-Price Profit Maximization

- **Profit (\(\pi\))**: $44,100
- **Consumer Surplus (CS)**: $22,050
- **Welfare (\(W\))**: $66,150
- **Deadweight Loss (DWL)**: $22,050

Here, the monopoly charges a single price, resulting in a lower profit compared to perfect price discrimination. However, some consumer surplus remains, and there is a deadweight loss due to inefficiencies in resource allocation.

#### Conclusion

- Perfect price discrimination benefits the monopolist by extracting maximum profit with no deadweight loss, but offers no consumer surplus.
- Single-price maximization retains partial consumer surplus but creates a deadweight loss due to reduced efficiency. Total welfare is lower compared to perfect price discrimination.

This analysis illustrates the trade-offs between different monopoly pricing strategies and their implications on market efficiency and consumer welfare.
Transcribed Image Text:### Economic Analysis of Monopoly Pricing If a monopoly faces an inverse demand curve of: \[ p = 450 - Q \] and has a constant marginal and average cost of $30, it can perfectly price discriminate. The following outlines the economic outcomes in terms of profit, consumer surplus, welfare, and deadweight loss under both perfect price discrimination and single-price profit-maximization scenarios. #### Perfect Price Discrimination - **Profit (\(\pi\))**: $88,200 - **Consumer Surplus (CS)**: $0 - **Welfare (\(W\))**: $88,200 - **Deadweight Loss (DWL)**: $0 In this scenario, the firm captures all consumer surplus, maximizing its own profit and ensuring total welfare with no deadweight loss. #### Single-Price Profit Maximization - **Profit (\(\pi\))**: $44,100 - **Consumer Surplus (CS)**: $22,050 - **Welfare (\(W\))**: $66,150 - **Deadweight Loss (DWL)**: $22,050 Here, the monopoly charges a single price, resulting in a lower profit compared to perfect price discrimination. However, some consumer surplus remains, and there is a deadweight loss due to inefficiencies in resource allocation. #### Conclusion - Perfect price discrimination benefits the monopolist by extracting maximum profit with no deadweight loss, but offers no consumer surplus. - Single-price maximization retains partial consumer surplus but creates a deadweight loss due to reduced efficiency. Total welfare is lower compared to perfect price discrimination. This analysis illustrates the trade-offs between different monopoly pricing strategies and their implications on market efficiency and consumer welfare.
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