finnish furniture manufactures tables in facilities located in three cities--reno, denver, and pittsburgh. the tables are then shipped to three retail stores located in phoenix, cleveland, and chicago. management wishes to develop a distribution schedule that will meet the demands at the lowest possible cost. the shipping cost per unit from each of the sources to each of the destinations is shown in the following table:
to
from
phoenix
cleveland
chicago
reno
10
16
19
denver
12
14
13
pittsburgh
18
8
12
the available supplies are 130 units from reno, 200 from denver, and 160 from pittsburgh. phoenix has a demand of 140 units, cleveland has a demand of 160 units, and chicago has a demand of 200 units. (, no handwritten answers & this problem has two questions)
1. how many units should be shipped from each manufacturing facility to each of the retail stores if cost is to be minimized?
2. what is the total cost?