MINIMIZING SHIPPING COSTS Steinwelt Piano manufactures uprights and consoles in two plants, Plant I and Plant IL The output of Plant I is at most 300/month, whereas the out-put of Plant II is at most
250
/
month
. These pianos are shipped to three warehouses that serve as distribution centers for the company. To fill current and projected orders, Ware-house A requires a minimum of
200
pianos/month
, Ware-house B requires at least
150
pianos/month
, and Warehouse C requires at least 200 pianos/month. The shipping cost of each piano from Plant Ito Warehouse A, Warehouse B, and Warehouse C is
$
60
,
$
60
,
and
$
80
, respectively, and the ship-ping cost of each piano from Plant II to Warehouse A, Ware-house B, and Warehouse C is
$
80
,
$
70
,
and
$
50
, respectively. Use the method of this section to determine the shipping schedule that will enable Steinwelt to meet the warehouses' requirements while keeping the shipping costs to a minimum.