The Shape Zoo: Substitutes to Bliss Points

Substitutes with a fixed rate

Complements at fixed proportions

Bads, neutrals and satiation

Discrete goods and the practice of approximation

For $u = 2 x_1 + 3 x_2$, what is the MRS at the bundle $(10, 10)$, and what does it say?

For $u = \min(2 x_1, x_2)$, where do the indifference curves have their kinks, and what utility does the bundle $(3, 6)$ deliver?

An indifference map has upward-sloping curves through the origin region. What does the slope tell you?

For $u = 16 - (x_1 - 4)^2 - (x_2 - 4)^2$, what happens to the MRS at bundles with $x_1 > 4$ and $x_2 < 4$?

For $u = 16 - (x_1 - 4)^2 - (x_2 - 4)^2$, compute the utility at the bundle $(4, 4)$, and write the number.

For $u = 2 x_1 + 3 x_2$, compute the utility at the bundle $(5, 4)$, and write the number.

For u of 2 x1 plus 3 x2, the bundle (5, 4) scores 22. Which bundle is NOT indifferent to it?

With u of 2 x1 plus 3 x2 and prices 2 and 3, what does the consumer buy?

For u of min of 2 x1 and x2, what utility does the bundle (5, 8) deliver?

For u of 16 minus (x1 minus 4) squared minus (x2 minus 4) squared, what happens at the bundle (6, 6)?

For the bliss utility, compute u at the bundle (2, 4), and write the number.

For u of 2 x1 plus 3 x2, compute the utility at the bundle (0, 7), and write the number.