This network represents the distribution of dried fruit used to make cake from 2 wholesalers to 3 bakeries. Nodes A and B are the wholesalers and nodes X, Y and Z are 3 bakeries. The decimal number on each arc shows the proportion of fruit sent from each wholesaler to each bakery ie. 25% of the fruit from wholesaler A is sent to Bakery Z. Write down the matrix which represents this network and then use this matrix to determine the amount of dried fruit received by bakeries X, Y and Z if 450 kg of dried fruit is distributed from wholesaler A and 750 kg is distributed from wholesaler B.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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This network represents the distribution of dried fruit used to make cake from 2 wholesalers to 3 bakeries. Nodes A and B are the wholesalers and nodes X, Y and Z are 3 bakeries. The decimal number on each arc shows the proportion of fruit sent from each wholesaler to each bakery ie. 25% of the fruit from wholesaler A is sent to Bakery Z.

Write down the matrix which represents this network and then use this matrix to determine the amount of dried fruit received by bakeries X, Y and Z if 450 kg of dried fruit is distributed from wholesaler A and 750 kg is distributed from wholesaler B.

0.35 V
X
0.4
0.15
0.25
Y
Ya6
B
0.25
Z
Transcribed Image Text:0.35 V X 0.4 0.15 0.25 Y Ya6 B 0.25 Z
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