Profit Maximation question help

P=MR+$750
TC =2500000+500q+0.00Q squared
Mc =500+0.01Q

Calculate profit maximizing level
Calculate the company's optimal profit and optimal profit as a percentage of sales revenue

Can anyone help here I am lost

To find the profit-maximizing level, we need to determine the quantity of product that maximizes profit. Here's how you can do it step-by-step:

1. Set MR (marginal revenue) equal to MC (marginal cost):
MR = MC

2. Substitute the given equations for MR and MC:
MR + $750 = 500 + 0.01Q

3. Simplify the equation by subtracting $750 from both sides:
MR = 500 + 0.01Q - $750
MR = -250 + 0.01Q

4. Set MR equal to MC:
-250 + 0.01Q = 500 + 0.01Q

5. Solve for Q by cancelling out the 0.01Q terms:
-250 = 500

Since the equation contradicts itself (providing an impossible result), it seems there is an error in the given information provided. Please recheck the equations or values and ensure they are correct.

Regarding the calculation of optimal profit and optimal profit as a percentage of sales revenue, they can be determined once the correct profit-maximizing level is obtained.