$\text { Suppose the demand equation for a product is } p = \frac { 50,000 } { 500 + 7 x } \text {. Find the average price }$

$\text { Suppose the demand equation for a product is } p = \frac { 50,000 } { 500 + 7 x } \text {. Find the average price }$ $p$ on the interval $50 \leq x \leq 60$ . Round your answer to the nearest dollar.

A) $\$ 67$
B) $\$ 83$
C) $\$ 57$
D) $\$ 565$
E) $\$ 52$