Table 1.

Demand data in the ideal plan

Manufacturer 1	Demand quantity	Manufacturer 2	Demand quantity	Manufacturer 3	Demand quantity
$d_{111}$	100	$d_{112}$	50	$d_{113}$	60
$d_{121}$	200	$d_{122}$	50	$d_{123}$	50
$d_{131}$	200	$d_{132}$	100	$d_{133}$	100
$d_{141}$	100	$d_{142}$	200	$d_{143}$	100
$d_{211}$	300	$d_{212}$	100	$d_{213}$	120
$d_{221}$	200	$d_{222}$	150	$d_{223}$	200
$d_{231}$	100	$d_{232}$	200	$d_{233}$	150
$d_{241}$	300	$d_{242}$	200	$d_{243}$	200
$d_{311}$	300	$d_{312}$	100	$d_{313}$	300
$d_{321}$	300	$d_{322}$	200	$d_{323}$	200
$d_{331}$	300	$d_{332}$	100	$d_{333}$	100
$d_{341}$	400	$d_{342}$	200	$d_{343}$	100