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On a tropical island there are 100 potential boat builders, numbered 1 through 100.Each can build up to20 boats a year, but anyone who goes into the boatbuilding business has to pay a fixed cost of $19.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) 19 y.Boat builder 2 has a total cost function c(y) 19 2y, and more generally, for each i, from 1 to 100, boat builder i has a cost function c(y) 19 iy.If the price of boats is 25,how many boats will be built per year?
A) 480
B) 120
C) 60
D) 720
E) Any number between 500 and 520 is possible.
On Jul 15, 2024