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To get law 3: we need to allow r to be a function of K, and then we get =米?袁斧p Where frwY a 1?ab 1?a(w)1?a 1?a.R R a古b需(")+b R This a little artificial, since we are holding overall output constant But nonetheless. from this it should be clear that as 公 gets bigger, the value of /gets smaller That is marshall's third lawTo get law # 3: we need to allow R to be a function of K, and then we get /L /W = f W R 1 W ? 1 R /R /K /K /W Q where f W R = a 1 1?a b ?a 1?a 1?a W R a 1?a a 1 1?a b ?a 1?a W R a 1?a + b 1+a a This a little artificial, since we are holding overall output constant. But nonetheless, from this it should be clear that as /R /K gets bigger, the value of /L /W gets smaller. That is Marshall’s third law
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