On a Tropical Island There Are 100 Potential Boat Builders

question 34

Multiple Choice

On a tropical island there are 100 potential boat builders, numbered 1 through 100.Each can build up to8 boats a year, but anyone who goes into the boatbuilding business has to pay a fixed cost of $7.Marginal costs differ from person to person.Where y denotes the number of boats built per year, boat builder 1 has a total cost function c(y) = 7 + y.Boat builder 2 has a total cost function c(y) = 7 + 2y, and more generally, for each i, from 1 to 100, boat builder i has a cost function c(y) = 7 + iy.If the price of boats is 15, how many boats will be built per year?

• A)112
• B)64
• C)32
• D)168
• E)Any number between 120 and 128 is possible.

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