On a Tropical Island There Are 100 Potential Boat Builders

question 12

Multiple Choice

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.

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Definitions:

Screen Time

The amount of time spent using devices with screens, such as computers, smartphones, and televisions, often discussed in the context of health and wellness.

Physical Activity

Bodily movement produced by skeletal muscles that requires energy expenditure and can produce progressive health benefits.

Metabolic Syndrome

A cluster of conditions, including high blood pressure, high blood sugar, excess body fat around the waist, and abnormal cholesterol levels, that occur together, increasing the risk of heart disease, stroke, and diabetes.

Waist Circumference

A measurement around the smallest area of the waist, used as an indicator of abdominal fat and an assessment of health risk.