Suppose TC = 10 + (0.1 ∗ q²).If p = 10,the firm's profits will be

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To find the firm's profits, we need to calculate total revenue (TR) and total cost (TC) and then subtract TC from TR. TR = p * q = 10q. TC = 10 + 0.1q^2. Profit = TR - TC = 10q - (10 + 0.1q^2). To maximize profit, set the derivative of the profit function with respect to q to zero: d(Profit)/dq = 10 - 0.2q = 0, solving gives q = 50. Substitute q = 50 into the profit equation: Profit = 10(50) - (10 + 0.1(50)^2) = 500 - (10 + 250) = 240.