The demand for $$stinye Park for weekdays $(D_1),$ is lower than the demand for weekends is $(D_2).$ Demand functions are as follows:

$D_1=P_1=2-0\mathrm{.}001Q_1$ and $D_2=P_2=20-0\mathrm{.}01Q_2,$ where $Q=$ number of the visitors. Suppose marginal cost of $$stinye Park is same for weekends and weekdays. $MC=1+0\mathrm{.}004Q$

a$)$ To control the number of visitors, the managers of the $$stinye Park implement a pricing depending on the number of visitors. Determine the price levels and the number of visitors.

b$)$ Compare the effect of different Pricing depending on the days and same pricing for all days to the market.