What is the number of seats that will produce the maximum profit?

Question

In planning a restaurant, it is estimated that a profit of $8 per seat will be made if the number of seats is no more than 50. On the other hand, the profit will decrease by 10 cents for each seat above 50. What is the number of seats that will produce the maximum profit? Use appropriate units in your answer and justify that this gives the largest profit by showing the appropriate calculus work.

Answer 1

s represents each additional seat

R(s) = (50 + s)($8 - 0.10s)

Can you convert to vertex form and answer?