Demands from Special Preferences

Cobb-Douglas and the fixed budget split

Complements and the proportion race

Substitutes head for corners

Quasilinear and the income-proof good

For u equal to min of 2 x1 and x2, income 60, prices 1 and 1, what does the consumer buy?

For u equal to 2 x1 plus x2 with prices p1 equals 1 and p2 equals 2, where does the consumer land?

For u equal to ln x1 plus x2 with prices 1 and 1, income rises from 10 to 20. What happens to the demands?

A consumer's purchases of tea and sugar always move together in fixed proportion regardless of prices. Which family fits?

For u equal to min of 2 x1 and x2, income 60, prices 1 and 1, compute x1, and write the number.

For u equal to ln x1 plus x2 with prices 1 and 1 and income 10, compute x2 at the optimum, and write the number.

For u of min of 2 x1 and x2 with income 60 and equal prices, the optimum is (20, 40). What utility does it deliver?

For u of 2 x1 plus x2 with income 12 and prices 1 and 2, where does the consumer land?

For u of ln x1 plus x2 with equal prices, income rises from 10 to 20. What happens?

For u of min of 2 x1 and x2 with income 60, the price of good one falls to one half. Where is the new optimum?

For u of 2 x1 plus x2 with income 12 and prices 1 and 2, compute the optimal utility, and write the number.

With the price of good one at one half, income 60, compute the new x2 at the optimum, and write the number.