角点解与折点预算约束

The boundary optimum

Another corner worked

Budgets that kink

Why economists watch boundaries

For u equal to 2 x1 plus x2 with income 20 and prices 1 and 1, why is the optimum (20, 0)?

For u equal to 3 x1 plus x2, income 30, prices 2 and 1, what does substituting the budget into utility show?

A 12-dollar voucher usable only on good 1, with income 30 and prices 1 and 1, creates what budget?

What is the complete list of candidates when optimizing on a kinked budget with smooth convex preferences?

For u equal to 3 x1 plus x2 with income 30 and prices 2 and 1, compute the optimal utility, and write the number.

Same consumer, compute the utility of spending all 30 on good 2, and write the number.

For u of 3 x1 plus x2 with income 30 and prices 2 and 1, what is the optimal x1?

With income 30, prices 1 and 1, and a 12-dollar voucher for good one, where does the budget kink?

For u of x1 x2 on the voucher budget, income 30 cash plus the 12-dollar voucher, where is the optimum?

At the corner optimum (20, 0) for u of 2 x1 plus x2 with equal prices, what does the MRS of 2 against the price ratio of 1 tell you?

For u of x1 x2 with income 30 plus the 12-dollar voucher, compute the utility at the optimum, and write the number.

For u of 3 x1 plus x2 with income 30 plus the 12-dollar voucher and equal prices, compute the optimal utility, and write the number.