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Mathematics for Management Science Notes 05

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Exercise 3 solution sheet:<br />

1<br />

2<br />

3<br />

4<br />

5<br />

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45<br />

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

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