Using the supply and demand functions below, derive the demand and supply curves if $Y=$$$55,000$ and $p_c=$$$7.$ What is the equilibrium price and quantity of coffee?

The demand function for coffee is

$Q=8\mathrm{.}5-p+0\mathrm{.}01Y$

where $Q$ is the quantity of coffee in millions of pounds per year, $p$ is the price of coffee in dollars per pound, and $Y$ is the average annual household income in high$-$income countries in thousands of dollars.

The coffee supply function is

$Q=9\mathrm{.}6+0\mathrm{.}5p-0\mathrm{.}2p_c$

where $p_c$ is the price of cocoa in dollars per pound

The equilibrium price of coffee is

$p=$$$,$ per pound

and the equilibrium quantity is

$Q=$ millions $of$ pounds per year.

$($Enter your responses rounded to two decimal places.$)$