Josie Gall's firm has developed the following supply, demand, and cost and inventory data.
Period reg. time OT subcont. Demand forecast
1 30 15 10 40
2 35 15 10 50
3 30 20 10 50
intial invt. = 20 units
reg time cost per unit = $100
OT cost per unit $150
Subcont cost per $250
Carrying cost per unit per month $2
Assume that the initial inventory has no holding cost in the first period and backorders are not permitted.
Allocating production capacity to meet demand at a minimum cost using the transportation method, the total cost is $?