When sold for $\$252{,}000.00$, Ferraris have an annual supply of $6629$ vehicles and an annual demand of $6474$ vehicles. When their price increases to $\$278{,}000.00$, the annual supply increases to $7091$, and the demand decreases to $5960$ billion gallons.

(a) Assuming that the supply and demand equations are linear, find the supply and demand equations.

Supply Equation $p =$
Demand Equation $p =$

(Note: The equations should be in the form $p = mq + b$ where $p$ denotes the price (in dollars) and $q$ denotes the quantity. The slope and $y$-intercept should be accurate to two decimal places).

(b) Find the Equilibrium price and quantity.

Equilibrium price $p =$
Equilibrium quantity $q =$

(Note: The equilibrium price and quantity should be accurate to two decimal places, and the equilibrium price should include a dollar sign).