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Pearson Travel, Inc., charges $10 for a trip to a concert if 30 people travel in a group. But for each 1 person above the 30-person level, the charge FOR ALL group members will be reduced by $0.20.

a) What is the total revenue for the company if 35 people are in the group?

b) What is the total revenue function R if x people are in the group?

c) How many people in the group will maximize the total revenue of the company?

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