who can solve this problem for me ? thx

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Ambrose consumes only nuts and berries. Fortunately, he likes both goods. The consumption bundle where Ambrose consumers X1 units of nuts per week and X2 units of berries per week is written as (X1,X2). The set of consumption bundles (X1,X2) such that Ambrose is indfferent between (X1,X2) and (1,16) is the set of bundles such that X1>=0.X2>=0,and X2=20-4根号X1.The set of bundles (X1,X2) such that (X1,X2)~(36,0)is the set of bundles such that X1>=0,X2>=0 and X2=24-4根号X1

Q:

what is the slope of Ambrose's indifference curve at the point(9,8)?

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关键词：problem Solve This For LEM problem Solve THX

It is clearly that the bundle (9,8) lies on the first IC, (1,16) ~ (X1, 20-4*X1^1/2). In fact, you may get this by solving 8=A-4*9^1/2, then A=20.

Then, it is easy to derive the slope of the IC at the point (9, 8) is -2/3.

i do not understand what does "~" mean

not very clear

-2/3 how to get it?

(8,9)满足关系式:X2=20-4根号X1;该点的斜率即为函数在该点的导数.dx2/dx1=-2/3

楼上给的答案其实已经很完整

It is clearly that the bundle (9,8) lies on the first IC, (1,16) ~ (X1, 20-4*X1^1/2). In fact, you may get this by solving 8=A-4*9^1/2, then A=20.

Then, it is easy to derive the slope of the IC at the point (9, 8) is -2/3.

“~”是“无差异”的意思

2楼给的答案非常正确

55555555555555555555555~~~~~~~~~~~

i am stupid~

don't be disappointed.

曲线上某点的斜率即为函数在该点的导数.也许找本微积分看看导数的几何意义以及求法就好了.

always bear in mind that the most important thing is to find out how to solve a problem but not be self doubted. you are sepecial. and you'd better spend more time on books. wish you good luck