Question $30$

$2$ pts

Formulate the inventory balance constraint for an aggregate planning problem, where $t-$ time period, $D_t-$ demand, $I_t-$ end$-$of$-$period inventory, $P_t-$ production quantity, $C_t-$ subcontracted quantity, and $S_t-$ end$-$of$-$period stock$-$out$/$backlog$.$

$I_{t-1}-S_{t-1}+P_t+C_t{D}_t+I_t-S_t$

$I_{t-1}-S_{t-1}+P_t+C_t{D}_t+I_t-S_t$

$t_{t-1}-S_{t-1}+P_t+C_t=D_t+I_t-S_t$

$I_{t-1}-S_{t-1}+P_t-C_t=t_t+I_t-S_t$

Question $31$