Calculate the long$-$run equilibrium price and quantity.

Based on the information below, answer the following $2$ questions. $($Q$8-$Q$9)$ Suppose you estimate the following log$-$log supply and demand curves.

Log$-$Log Supply Function: $ln(Q_t)=a_0+a_{1}ln(P_{t-5})a_{2}ln(C_{t-5})$

Log$-$Log Demand Function: $,ln(P_t)=b_0+b_{1}ln(Q_t)+b_{2}ln(S_t)$

$8.$ What is the own$-$price elasticity of supply?

$9.$ What is the demand flexibility?