Chapter 14.1, Problem 39E

The body mass index (BMI) of a person is defined by

$B(m,h)=\frac{m}{h^2}$

where m is the person’s mass (in kilograms) and h is the height (in meters). Draw the level curves B(m, h) = 18.5, B(m, h) = 25, B(m, h) = 30, and B(m, h) = 40. A rough guideline is that a person is underweight if the BMI is less than

18.5; optimal if the BMI lies between 18.5 and 25; overweight if the BMI lies between 25 and 30; and obese if the BMI exceeds 30. Shade the region corresponding to optimal BMI. Does someone who weighs 62 kg and is 152 cm tall fall into this category?