Final answer:
The absence of adequate resources and technology hindered a student's homework productivity, but with a calculator and computer use, their ability to complete math and English assignments in the same duration improved.
Step-by-step explanation:
Understanding the balance between resources and technology can greatly influence productivity in completing homework assignments. In the scenario described, the absence of a calculator and using handwriting instead of typing have limited the student's productivity.
With improved resources and technology, such as using a calculator and a computer, efficiency in completing homework can be significantly enhanced. For instance, in the same duration, one can now finish all their math homework and write three paragraphs of their English assignment, or alternatively, complete the entire English homework and solve 15 math problems.
This demonstrates an increased production possibility, which in economic terms could be illustrated using a production possibility frontier.