How Can the Leontief Model Help Solve This Problem?

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I attached the problem.

I honestly have no idea how to even go about solving this problem. If someone can give me a hint, that'd be great.
 

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charlies1902 said:
I attached the problem.

I honestly have no idea how to even go about solving this problem. If someone can give me a hint, that'd be great.

Start by understanding what the problem is saying. You have a Leontief model of the form
\textbf{x} = C \textbf{x} + \textbf{d},
where d is external demand and C is the inter-sector internal demand matrix. The question is asking if it is OK to have cii > 1 for some i, and if not, why not.
It asks for both mathematical and real-world reasons.

RGV
 
Last edited:
I have read about the Leontief model but I still don't know how to answer the question. I think you should be able to have numbers greater than one along the diagnol
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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