AMC 12B 2003 Problem 18

Let x and y be positive integers such that 7 x^{5}=11 y^{13}. The minimum possible value of x has a prime factorization a^{c} b^{d}. What is a+b+c+d ?

Answer Choices
A. 30
B. 31
C. 32
D. 33
E. 34