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Sagot :
Output a=400 and Output b=300
Let
Output of industry A=a
Output of industry B=b
Now industry A shall produce output required by customer i.e. 310
But, industry A also have to supply 0.36 output to industry B
Then we obtain a-0.36=310
Similarly industry B shall produce output required by customer i.e. 100 while also supplying 0.5a output to Industry A.
Then we obtain b-0.5a=100
Thus, we obtain set of linear equations
a-0.36=310-----------eq1
-0.5+b=100-----------eq2
Solving the linear system, we multiply equation 1 by 0.5
eq 1×0.5 ⇒ 0.5a-0.15b=155
eq2×1 ⇒ -0.5a+b=100
----------------------------------------
0.85b=255
b=255/0.85=300
Then putting in eq 1
a-0.3(300)=310
a=310+90
a=400
Thus, output a=400, output b=300
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