Question 2: In an economic region three products are produced and exported: services (S),
electricity (E) and oil (O). We know the internal (within region) use of service, electricity and oil
required to produce units of each for export. The relationships are given by:
$S_e = 0.05 \cdot S_p + 0.30 \cdot E_p + 0.30 \cdot O_p$
$E_e = 0.40 \cdot S_p + 0.05 \cdot E_p + 0.40 \cdot O_p$
$O_e = 0.35 \cdot S_p + 0.35 \cdot E_p + 0.05 \cdot O_p$
If we are to export 20 units of service, 25 units of electricity and 15 units of oil, what total
production of service, electricity and oil is required?
Hints:
Consider the production requirements as: $E = M \cdot P$
Where E is the export array, and
P is the internal use array
Since there are no imports, the total production of each product will equal the units exported
plus the units of internal use.
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