P(x) = -30x^2 + 9000x - 567000. Explanation: Initially, we must recall the components of a Profit function. The profit of a business is equivalent to its revenue (R(x)) minus its costs (C(x)). There are two elements: 1. Revenue: defined as the number of units sold multiplied by the price, where x indicates the price charged and Q(x) reflects the number of shirts sold. 2. Cost: The cost function is directly provided in the prompt. Aggregating these elements yields the complete profit function.
