8. At some times of the year, it is easy to buy fresh cherries. At other times it is not. Is the price of fresh cherries shift invariant? We have the notion of price breaks: One pound of something may cost x, and two pounds may cost 2x, but if we buy 100 pounds the price per pound might go below x. Is this pricing homogeneous? Explain your answer.
9. We can decompose a signal into the sum of multiple components, each of which is a sine wave. We know that the output of a linear system presented with a single sine wave is also a single sine wave. How does the idea of superposition of multiple sources (even when they are at the same location in the circuit or system) help us solve for the output of a linear system the input of which is a decomposable signal?