Step 1: Understanding the problem.
We are asked to compare the dollar value of 1 Argentine peso with the dollar value of 1 Kenyan shilling. Both are separate currencies whose exchange rates vary depending on market conditions and global financial situations.
Step 2: Limitation of information.
The problem does not provide the current exchange rates of the Argentine peso or the Kenyan shilling against the US dollar. Without this, no direct numerical comparison can be made.
Step 3: Conclusion.
Since no exchange rate values are given, it is impossible to determine whether Quantity A is greater, Quantity B is greater, or both are equal. Therefore, the correct choice is:
\[
\boxed{\text{(D) The relationship cannot be determined from the information given.}}
\]