Real-World Applicationshard
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A manufacturing firm uses a production function Q(K,L)=40K0.25L0.75Q(K, L) = 40K^{0.25}L^{0.75}. If the cost of capital rr is 1010 and the cost of labor ww is 3030, which condition characterizes the cost-minimizing input bundle (K,L)(K, L) for a fixed output Q0Q_0?