Nancy's Chocolates Estimates That the Elasticity of Demand for Its $E = 0.06 p - 2$

Multiple Choice

Nancy's Chocolates estimates that the elasticity of demand for its dark chocolate truffles is $E = 0.06 p - 2$
Where p is the price per pound. Nancy's sells 19 pounds of truffles per week when the price is $23 per pound. Find the formula expressing the demand q as a function of p. Recall that the elasticity of demand is given by $E = - \frac { \mathrm { d } q } { \mathrm {~d} p } \times \frac { p } { q }$ .

NOTE: Round the value of the constant in your answer to four decimal places.

A) $q = 0.1428 e ^ { - 0.06 p }$
B) $q = 0.1428 e ^ { - 0.06 p } p ^ { 2 }$
C) $q = e ^ { - 0.06 p } p ^ { - 2 }$
D) $q = 0.1428 e ^ { 0.06 p } p ^ { 2 }$
E) $q = 0.1428 e ^ { - 2.06 p }$