Chapter 14.1, Problem 39E

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

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

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?