If the group contains 36 people, each person pays $76. The cost per person for all members of the party is reduced by $1 for each person in excess of 36. Find the size of the group that maximizes income for the owners of the ship.

A small cruising ship that can hold up to 56 people provides three-day excursions to groups of 36 or more. If the group contains 36 people, each person pays $76. The cost per person for all members of the party is reduced by $1 for each person in excess of 36. Find the size of the group that maximizes income for the owners of the ship.

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