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A firm's production function is given by Q= where t is an indicator of the V4K2 ' 6L state of technology. Both capital K and labor L depend on technology. At the same time, the number of machines used depends on the efficiency of workers, and capital K is also a function of labor L such that K = "04.Less labor is used at a higher level of technology, so , 1012 that L=”. Find the effect of a change in the level of technology on output. Hint: use total derivatives. You do not need to express the answer as a function of t alone.
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