Step 1: Understand why calorie needs vary.
The amount of energy a person needs each day depends on body weight, sex, and how physically demanding their work is. Nutrition guidelines group work into sedentary, moderate, and heavy categories, and give a separate recommended daily allowance (RDA) of calories for men and women in each group.
Step 2: Recall the RDA for a woman doing heavy work.
For an adult reference woman around 45 to 50 kg body weight doing heavy physical work, such as manual labour or heavy fieldwork, the standard nutrition RDA tables place the requirement at about 3000 calories per day. This is higher than the requirement for sedentary work, about 1900 calories, and moderate work, about 2200 calories, because heavy muscular activity burns much more energy.
Step 3: Rule out the other options.
(A) 2800 calories/day: This value is closer to the requirement of a woman doing moderate to somewhat heavy work, not the standard heavy work figure. Incorrect.
(C) 25000 calories/day: This is an unrealistic figure, many times more than any human being can use in a day regardless of activity level. Incorrect.
(D) 3700 calories/day: This value is too high for a woman of this body weight; it overshoots the standard heavy work allowance and is closer to figures used for heavy working men. Incorrect.
Step 4: Final answer.
As per the standard nutrition requirement tables, a 45 kg woman doing heavy physical work needs about 3000 calories a day.
\[ \boxed{3000 \text{ calories/day}} \]