Final answer:
The maximum profit given by the equation 3x√900−x is $0.
Step-by-step explanation:
To find the maximum profit given by the equation 3x√900-x, we need to find the vertex of the quadratic equation. The vertex of a quadratic equation in the form ax^2+bx+c is given by the formula x = -b/2a. In this case, a = 3, b = 0, and c = -900. Plugging these values into the formula, we get x = 0.
Substituting x = 0 in the equation, we get the maximum profit as 3(0)√900-0 = 0.
Therefore, the maximum profit given by the equation is $0. So, none of the given options (a), (b), (c), or (d) are correct.