A Fast-Food Outlet Finds That the Demand Equation for Its $p = \frac { 6,750 } { ( q + 5 ) ^ { 2 } }$

Multiple Choice

A fast-food outlet finds that the demand equation for its new side dish, "Sweetdough Tidbit", is given by $p = \frac { 6,750 } { ( q + 5 ) ^ { 2 } }$ where p is the price (in cents) per serving and q is the number of servings that can be sold per hour at this price. At the same time, the franchise is prepared to sell $q = 0.5 p - 5$ servings per hour at a price of p cents. Find the consumers' surplus at the equilibrium price level.

A) $6.06
B) $6.04
C) $6.00
D) $6.10
E) $6.02