Show that (X^{prime}(D)) has to be positive in order to get to a solution to the following
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Show that \(X^{\prime}(D)\) has to be positive in order to get to a solution to the following maximization problem:
\[\max _{D_{t}}(1-k) V_{t}^{1}\left(D_{t}, X_{t}\right)+k V_{t}^{1}\left(X\left(D_{t}\right), D_{t}\right)\]
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