Question

The Cozy Car Company created a new model of car especially for Japan and Vietnam, which they start

shipping to both countries at the same time.
• The company had shipped 2 of that model of car to Japan by the end of the first month, and the
cumulative total of cars they've shipped triples each month.
The company had shipped 5 of that model of car to Vietnam by the end of the first month, and the
cumulative total of cars they've shipped increases by 11 cars each month.
The company's board assembles at the end of each month to review the cumulative total number of cars
shipped to each country,
What is the first month in which the board will see the cumulative total number of cars shipped to Japan
exceeded the cumulative total in Vietnam?

Answer 1

We assume you intend that cars shipped to Japan are modeled by

j(n) = 2·3^(n-1)

and that those shipped to Vietnam are modeled by

v(n) = 5 + 11·(n-1)

The value of j(n) will exceed the value of v(n) in month 4.