A Wiring Job Requires Pieces of BX Cable Cut to the Following

Multiple Choice

A wiring job requires pieces of BX cable cut to the following lengths: $5$ pieces, $8 \frac { 1 } { 2 }$ feet in length   $9$ pieces, $18 \frac { 1 } { 2 }$ feet in length
  $10$ pieces, $1 \frac { 3 } { 4 }$ feet in length
  $13$ pieces, $6 \frac { 1 } { 2 }$ feet in length
  $5$ pieces, $34 \frac { 1 } { 4 }$ feet in length
How many feet of cable is needed to complete the job?

A) $499 \frac { 1 } { 4 }$ feet
B) $482 \frac { 1 } { 4 }$ feet
C) $469 \frac { 1 } { 4 }$ feet
D) $505 \frac { 1 } { 4 }$ feet
E) $489 \frac { 1 } { 4 }$ feet