Consider two markets for the same good: markets 1 and 2. The demand for the good on these markets are: P₁ = 20-2Q₁ and P2 = 40 - 2Q2 The total cost of producing any output Q is c(Q) = 10 +8Q where Q = 91 +92. (a) Suppose these two markets are completely separated but each is served by a per- fectly competitive industry. What will be the prices and outputs supplied to cach of the two markets? (a) Now instead of (a), suppose these two markets are served by a single price- discriminating monopolist. If the markets continue to be separated, what are the profit-maximizing prices charged by the monopolist and outputs. Confirm that the market with the less elastic demand is charged the higher price.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Only part (b) please, thank you!

**Problem Statement:**

Consider two markets for the same good: markets 1 and 2. The demand for the good in these markets is described by the following equations:

\[ p_1 = 20 - 2Q_1 \]
\[ p_2 = 40 - 2Q_2 \]

The total cost of producing any output \( Q \) is given by the cost function:

\[ c(Q) = 10 + 8Q \]

where \( Q = q_1 + q_2 \).

**Questions:**

(a) Suppose these two markets are completely separated, but each is served by a perfectly competitive industry. What will be the prices and outputs supplied to each of the two markets?

(b) Now instead of (a), suppose these two markets are served by a single price-discriminating monopolist. If the markets continue to be separated, what are the profit-maximizing prices charged by the monopolist and the outputs? Confirm that the market with the less elastic demand is charged the higher price.
Transcribed Image Text:**Problem Statement:** Consider two markets for the same good: markets 1 and 2. The demand for the good in these markets is described by the following equations: \[ p_1 = 20 - 2Q_1 \] \[ p_2 = 40 - 2Q_2 \] The total cost of producing any output \( Q \) is given by the cost function: \[ c(Q) = 10 + 8Q \] where \( Q = q_1 + q_2 \). **Questions:** (a) Suppose these two markets are completely separated, but each is served by a perfectly competitive industry. What will be the prices and outputs supplied to each of the two markets? (b) Now instead of (a), suppose these two markets are served by a single price-discriminating monopolist. If the markets continue to be separated, what are the profit-maximizing prices charged by the monopolist and the outputs? Confirm that the market with the less elastic demand is charged the higher price.
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