Indifference Curves as Contours of a Utility Surface

Imagine a three-dimensional graph where the two horizontal axes represent the quantity of daily free time and the quantity of goods consumed, respectively. The vertical axis represents the level of satisfaction, or utility, derived from different combinations of free time and consumption. If Point A on this 3D surface is located directly above the combination (18 hours free time, $50 consumption) and is vertically higher than Point B, which is located directly above the combination (16 hours free time, $60 consumption), what can be concluded?

Analyzing Trade-offs on a Utility Surface

Interpreting the Shape of a Utility Surface

On a three-dimensional graph where two horizontal axes represent quantities of two different goods and the vertical axis represents the level of satisfaction (utility), any two points that lie on the same horizontal plane must represent combinations of the two goods that provide the consumer with an identical level of satisfaction.

In the context of a three-dimensional representation of a utility function with two goods, match each geometric component or movement with its correct economic interpretation.

Evaluating the 3D Representation of Utility

Interpreting a Cross-Section of a Utility Surface

Consider a three-dimensional graph where the two horizontal axes represent quantities of two different goods (Good X and Good Y), and the vertical axis represents the level of satisfaction (utility). If a consumer's preferences follow the principle that 'more is always better' for both goods, what must be true about the shape of this 3D utility surface?

Limitations of 3D Utility Models

In a three-dimensional graphical representation where the two horizontal axes represent the quantities of two different goods a person might consume, the vertical height of the surface at any given point represents the level of __________ achieved from that combination of goods.