Mathematics for Management Science Notes 05
Mathematics for Management Science Notes 05
Mathematics for Management Science Notes 05
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Exercise 3 solution sheet:<br />
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A B C D E F<br />
Company with<br />
W a r e h o u s e<br />
Supply(+)/<br />
Nodes: Demand(-)<br />
1: Plant 1 400 Warehouse Max<br />
2: Plant 2 600 to Outlet 1: 500<br />
3: Whs 0<br />
4: Outlet 1 -750<br />
5: Outlet 2 -250<br />
D e c i s i o n<br />
V a r i a b l e s :<br />
Unit Cost #Units<br />
1 to 3 4 400<br />
1 to 4 10 0<br />
1 to 5 8 0<br />
2 to 3 4 100<br />
2 to 4 9 250<br />
2 to 5 6 250<br />
3 to 4 2 500<br />
3 to 5 3 0<br />
M i n i m i z e<br />
Total Cost: 6750<br />
Subject to<br />
Outflow Inflow L H S R H S<br />
Node 1 flow 400 400 = 400<br />
Node 2 flow 600 600 = 600<br />
Node 3 flow 500 500 0 = 0<br />
Node 4 flow 750 -750 = -750<br />
Node 5 flow 250 -250 = -250<br />
Whs to Outlet 1 500