A Rocket Coasts in an Elliptical Orbit About the Earth

Multiple Choice

A rocket coasts in an elliptical orbit about the Earth.To attain escape velocity using the least amount of fuel in a brief firing time,should it fire off at the apogee,or at the perigee? (Hint: Let "Fd = change in KE" guide your thinking. )

A) perigee,where it is closest and fastest
B) apogee,where it is farthest and slowest
C) same either location