Suppose there are 2 firms in the market. The supply for firm 1 is q1 = -20 + 2p and the supply for firm 2 is q2 = -40 + 2p. Which of the below represents the market supply (Q):Group of answer choicesQ = -60 + 4p for p < 20 and Q = -30 + p for p ≥ 20Q = -60 + 4p for p > 20 and Q = -20 + 2p for 10< p ≤ 20Q = -60 + 4pQ = -60 + 4p for p > 40 and Q = -20 + 2p for p ≤ 40Q = -60 + 4p for p > 20 and Q = -40 + 2p for 10< p ≤ 20
Question
Suppose there are 2 firms in the market. The supply for firm 1 is q1 = -20 + 2p and the supply for firm 2 is q2 = -40 + 2p. Which of the below represents the market supply (Q):Group of answer choicesQ = -60 + 4p for p < 20 and Q = -30 + p for p ≥ 20Q = -60 + 4p for p > 20 and Q = -20 + 2p for 10< p ≤ 20Q = -60 + 4pQ = -60 + 4p for p > 40 and Q = -20 + 2p for p ≤ 40Q = -60 + 4p for p > 20 and Q = -40 + 2p for 10< p ≤ 20
Solution
The market supply (Q) is the sum of the supplies of all firms in the market. In this case, there are two firms, so we add their supply functions together:
Q = q1 + q2 Q = (-20 + 2p) + (-40 + 2p) Q = -60 + 4p
So, the market supply is Q = -60 + 4p. This is true for all prices p, not just for specific ranges. Therefore, the correct answer is Q = -60 + 4p.
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