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1. Omo Sugar factory has three warehouses that supply sugar to four cities. Each warehouse can supply the following numbers of tones of sugar: warehouse 1- 35 million; warehouse 2- 50 million; warehouse 3- 40 million. The sugar demands in the four cities are given as follows: city 1- 45 million; city 2- 20 million; city 3-30 million; city 4-30 million. The costs of sending 1 million kwh of electricity from plant to city depend on the distance the electricity must travel. Formulate an LP to minimize the cost of meeting each city's peak power demand.
From
To
Total supply
City 1
City 2
City 3
City 4
Plant 1
8
6
10
9
35
Plant 2
12
13
7
50
Plant 3
14
16
5
40
Total demand
45
20
30
125
Required: Find the optimal allocation of sugar from the three warehouses to the four cities. What is the cost of the distribution?
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