AMC 12 2000 Problem 20

If x, y, and z are positive numbers satisfying$$
x+1 / y=4, \quad y+1 / z=1, \text { and } z+1 / x=7 / 3

then $x y z=$ **Answer Choices** A. $2 / 3$ B. $1$ C. $4 / 3$ D. $2$ E. $7 / 3$