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

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