Deriving a Linear Inverse Demand Function
A car manufacturer observes that when the price of a specific model is $30,000, they sell 50 units per month. When they lower the price to $28,000, they sell 60 units per month. Assuming the relationship between price and quantity demanded is linear, derive the inverse demand function in the form P = a - bQ, where P is the price and Q is the quantity. Show your calculations.
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