They now want to evaluate a plan that calls for a steady rate of regular output $(250000$

boxes$/$month$),$ mainly using inventory to absorb the uneven demand but allowing some

backlog. They intend to start with $1000$ box inventory on hand in the first period. They

decided to use overtime to make up for lost output. The maximum amount of overtime

output per period is $35000$ box per month. The regular production cost per box is $45$ LE

while the overtime cost per box is $50$ LE$.$ The holding cost is $5$ LE per box per month and

the backorder cost is $10$ LE per box per month