The problem states that domestic beef producers face a demand of $QD = 1000 - 5P$. The Chinese then acquire a taste for U.S. beef, resulting in their demand being $QD = 500 - 5P$. We need to find the new market demand.

Applied MathematicsDemand FunctionMarket EquilibriumLinear EquationsEconomics
2025/7/1

1. Problem Description

The problem states that domestic beef producers face a demand of QD=10005PQD = 1000 - 5P. The Chinese then acquire a taste for U.S. beef, resulting in their demand being QD=5005PQD = 500 - 5P. We need to find the new market demand.

2. Solution Steps

To find the new market demand, we simply add the two demand equations together:
QDmarket=QDdomestic+QDchineseQD_{market} = QD_{domestic} + QD_{chinese}
QDmarket=(10005P)+(5005P)QD_{market} = (1000 - 5P) + (500 - 5P)
QDmarket=1000+5005P5PQD_{market} = 1000 + 500 - 5P - 5P
QDmarket=150010PQD_{market} = 1500 - 10P

3. Final Answer

The market demand is 150010P1500 - 10P for all P.
So the answer is d.

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