A restaurant offers a catering service which costs $17.00 per person with a $90.75 service charge. For parties of 60 or more people, a group discount applies, and the cost is $14.00 per person along with the service charge dropping to $45.00. Write a piecewise-defined linear function which calculates the total cost of the catering service which serves people.

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You can earn partial credit on this problem.