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A monopolist has demand and cost curves given by: Quantity demand = 10000 - 20P TC = 1000 + 10Q +

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A monopolist has demand and cost curves given by:
Quantity demand = 10000 - 20P
TC = 1000 + 10Q + .05Q^2

a. Find the monopolist's profit-maximizing quantity and price.
b. Find the monopolist's profit.

I tried to do the problem but kept coming up with a negative number for the monopolist's profit. Are my number's correct?

P = 10 - .05Q
TR = 10Q - .05Q^2
Q = 99.5
P = $5.03 (nearest cent) or $5.00 (nearest 10 cents)

What should I use as the wholesale price?