If wxyz is a four-digit positive integer with w\ne0, the layer sum of this integer equals wxyz+xyz+yz+z. For example, the layer sum of 4089 is 4089+089+89+9=4276. If the layer sum of wxyz equals 2014, what is the value of w+x+y+z?
Answer Choices
A. 12
B. 15
C. 11
D. 13
E. 10