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please solve step by step Suppose there are two producers (G and H) who use two factors (fr and fx) with the following production functions:

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Suppose there are two producers (G and H) who use two factors (fr and fx) with the following production functions: Q = (fGL)(fGK)2 and QH= (f )(f )2. Producer G has an endowment of 3 for er and 5 for ek, while producer H has an endowment of 5 for e and 4 for e . Let w and r be the prices for labour (L) and capital (K) respectively. (a) Calculate the optimal factor price ratio (w/r) and producer H's optimal factor amounts in general equilibrium. (b) Prove by calculation that producer H can now produce more in general equilibrium than before. (c) What would happen to the optimal factor price ratio (w/r) if each producer received higher capital endowments (ek and e )

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