Тестовое задание

Carterra faces an environmental degradation and aims to reduce the number of old cars. The government aims to apply different taxation to new and old cars to motivate residents to buy new cars. The demand for new cars (N) is:

Q_{D(N)}=4000 - 0.1 \cdot P_{(N)} while the demand for old cars (O) is:

Q_{D(O)}=1250 - 0.2 \cdot P_{(O)}+ 0.05 \cdot P_{(N)}

The global price of new cars, before taxes, is $20.000 and for old cars is $5.000. Taxes now are $5.000 per car. If they need to reduce the demand for old cars to 380 (or less), without reducing the total amount of cars, how much tax revenue will be reduced (at least)?