Question: Maximum Profit Homework help?

A travel agency is planning a one-week trip to Italy that has an initial cost of $2,000 plus $1,140 per person. At a price of $1,400, 13 people will sign up. Past experience suggests that for each $20 decrease in the price, an additional person will sign up. Also, for each $20 increase in the price, one less person will sign up. What price (in intervals of $20) will maximize the profit? (Make a table and guess and check.)

I don't get how to solve this problem at all. Can someone help me? Please and Thank You!

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