$2\mathrm{.}14$ Consider Problem $2\mathrm{.}13$ where, in this case, each process is capable of rework. Given the information in the following table, what is the input required to satisfy a demand of $1,000$ units?

Process

Defect Rate

Rework Rate

$1$

$2$

$3\%$

$60\%$

$5\%,75\%$

$3$

$7\%$

$80\%$