Problema Solution
A small cruising ship that can hold up to 62 people provides three-day excursions to groups of 38 or more. If the group contains 38 people, each person pays $58. The cost per person for all members of the party is reduced by $1 for each person in excess of 38. Find the size of the group that maximizes income for the owners of the ship.
Answer provided by our tutors
The function that represents the income is:
F(x) = 38*58 + (x - 38)*(58 - 1), where 'x' is the number of people and 38 < = x <= 62
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click here to see the expression being simplified
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F(x) = 57x + 38
Since the function F(x) = 57x + 38 is increasing the size of the group that maximizes income is 62.