Deriving Market Supply with Heterogeneous Firms
A market for widgets consists of only two firms, Firm A and Firm B. Their individual short-run supply functions, where 'q' is the quantity supplied by a firm and 'P' is the market price, are as follows:
- Firm A: q_A = P - 10
- Firm B: q_B = 2P - 40
Based on this information, derive the equation(s) for the total market supply curve (Q). Explain your reasoning for each segment of the curve.
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