(b) A factory has three resources, steel, labour and electricity. The fol- lowing table shows the resources and constraints on the materials to produce three different products X, Y and Z. Determine the opti- mal numbers of each product to make to ensure full utilisation of all resources. Resource Energy Steel Labour X Y Z 3 MWhr 4 MW hr 2 MW hr 1 kg 1 hrs 1 kg 2 hrs 3 kg 5 hrs Available 17 MW hr 12 kg 20 hrs

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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(b) A factory has three resources, steel, labour and electricity. The fol-
lowing table shows the resources and constraints on the materials to
produce three different products X, Y and Z. Determine the opti-
mal numbers of each product to make to ensure full utilisation of all
resources.
Resource
Energy
Steel
Labour
X
Y
Z
3 MWhr 4 MW hr 2 MW hr
1 kg
1 hrs
1 kg
2 hrs
3 kg
5 hrs
Available
17 MW hr
12 kg
20 hrs
Transcribed Image Text:(b) A factory has three resources, steel, labour and electricity. The fol- lowing table shows the resources and constraints on the materials to produce three different products X, Y and Z. Determine the opti- mal numbers of each product to make to ensure full utilisation of all resources. Resource Energy Steel Labour X Y Z 3 MWhr 4 MW hr 2 MW hr 1 kg 1 hrs 1 kg 2 hrs 3 kg 5 hrs Available 17 MW hr 12 kg 20 hrs
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