Word Count : 369

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We are given the revenue function in differential form: \[ \frac{dR}{dx} = 15 + 2x - x^2 \] where \( x \) represents the input. We need to: 1. Find the maximum revenue. 2. Find the revenue function \( R(x) \) given that the initial revenue is 0, i.e., \( R(0) = 0 \). --- ### **Step 1: Find the Critical Points for Maximum Revenue** To find the maximum revenue, we set the derivative to zero: \[ 15 + 2x - x^2 = 0 \] Rearrange it into standard quadratic form: \[ ___ __________ _________ _________ _________.
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