Question

The exports of goods of a country, \( G = G(t) \), has a growth rate of \( a/t \), and its exports of services, \( S = S(t) \), has a growth rate of \( b/t \). What is the growth rate of its total exports \( X \)?

• A. \( \frac{a}{t} + \frac{b}{t} \)
• B. \( \frac{a}{G} + \frac{b}{S} \)
• C. \( \frac{a+b}{G+S} \)
• D. \( \frac{Ga + Sb}{tX} \)

Hint:

The growth rate of total exports is the sum of the individual growth rates of goods and services.

Answer 1

The Correct Option is A

Let total exports, denoted by \( X \), be the sum of exports of goods and services, such that \[X = G + S\]Given the following growth rates:- Exports of goods: \( a/t \)- Exports of services: \( b/t \)The growth rate of total exports \( X \) is the sum of the individual growth rates. Thus, the growth rate of total exports is:\[\frac{a}{t} + \frac{b}{t}\] Final Answer: \[\boxed{\frac{a}{t} + \frac{b}{t}}\]