The profit function given the cost function as 45x + 300 and revenue function as 85x - 0.5x² is - 0.5x² + 40x + 300
Profit = Revenue - Cost
= 85x - 0.5x² - 45x + 300
= - 0.5x² + 85x - 45x + 300
= - 0.5x² + 40x + 300
Therefore, the profit function is - 0.5x² + 40x + 300
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