Final answer:
To find the marginal cost when produced, we can use the given quadratic equation and take its derivative with respect to the quantity produced. The marginal cost equation is C' = 0.06x - 4.
Step-by-step explanation:
To find the marginal cost (C) when produced (x), we can use the given quadratic equation: C = 0.03x² - 4x + 900. The marginal cost represents the rate of change of the total cost with respect to the quantity produced. We can find it by taking the derivative of the equation with respect to x: C' = 0.06x - 4.
So, the marginal cost equation is C' = 0.06x - 4.
For example, if we want to find the marginal cost when x = 10, we can substitute it into the equation: C' = 0.06(10) - 4 = 0.6 - 4 = -3.4. Therefore, when 10 units are produced, the marginal cost is -3.4.