Which of the following claims is true at each point along a price-consumption curve?

A) Utility is maximized but income is not all spent.
B) All income is spent, but utility is not maximized.
C) Utility is maximized, and all income is spent.
D) The level of utility is constant.

The price-consumption curve shows the different combinations of two goods that a consumer can purchase at different price levels. At each point along the curve, the consumer maximizes their utility by choosing the combination that gives the highest level of satisfaction for the given income and prices. This means that utility is maximized at each point. Additionally, since the curve represents the budget constraint of the consumer, all income is spent at the chosen combination of goods. Therefore, choice C is the correct answer.