This appears to be a problem related to revenue and cost functions. The given equations are:

• Revenue function: $R = 48Q - 2Q^2$
• Total cost function: $TC = 300 - 18Q + Q^2$

The problem seems to ask for the value of $Q$ that maximizes the revenue and also to determine the profit.

Let me solve this step by step:

a) Maximizing Revenue

Revenue is maximized when the derivative of the revenue function with respect to $Q$ is zero.

The first derivative of the revenue function $R = 48Q - 2Q^2$ with respect to $Q$ is:

$\frac{dR}{dQ} = 48 - 4Q$

Now, set the derivative equal to zero to find the critical point:

$48 - 4Q = 0$

Solving for $Q$:

$4Q = 48 \quad \Rightarrow \quad Q = 12$

So, $Q = 12$ maximizes the revenue.

Would you like me to proceed with the other parts of the question, or would you like more details on this part?