A person’s basal metabolic rate (BMR) is the minimal number of daily calories needed to keep their body functioning at rest. The BMR (in kcal/day) of a man of mass m (in kg), height ℎ (in cm) and age a (in years) can be approximated by

P = f(m, ℎ, a) = 14m + 5ℎ − 7a + 66

and for women by

P = g(m, ℎ, a) = 10m + 2ℎ − 5a + 655.

(a) What is the BMR of a 28-year-old man 180 cm tall weighing 59 kg?
(b) What is the BMR of a 43-year-old woman 162 cm tall weighing 52 kg?
(c) If a 40-year-old man 175 cm tall weighing 77 kg restricts
himself to a diet with a daily caloric intake of 1600 kcal, should he expect to lose weight?