Answer: c for the first part
1,6 for the second
nether for the third
Step-by-step explanation:
all on edg
Let the required point be (a,b)
The distance of (a,b) from (7,-2) is
= 
But this distance needs to be betweem 50 & 60
So

Squaring all sides
2500 < (a-7)² + (b+2)² < 3600
Let a = 7
So we have
2500 < (b+2)² <3600
b+2 < 60 or b+2 > -60 => b <58 or b > -62
Also
b+2 >50 or b + 2 < -50 => b >48 or B < -52
Let us take one value of b < 58 say b = 50
So now we have the point as (7, 50)
The other point is (7,-2)
Distance between them
= 
This is between 50 & 60
Hence one point which has a distance between 50 & 60 from the point (7,-2) is (7, 50)
Answer: A
Suppose that the last dollar that Victoria receives as income
brings her a marginal utility of 10 utils while the last dollar that
Fredrick receives as income brings him a marginal utility of
15 utils. If our goal is to maximize the combined total utility of
Victoria and Fredrick, we should
a. Redistribute income from Victoria to Frederick
b. Redistribute income from Fredrick to Victoria
c. Not engage in any redistribution because the current situation already maximizes total utility
d. None of the above
Step-by-step explanation:
Marginal utility is the added satisfaction derived from consuming an additional unit of a good or service. In the above question, Fredrick derives more satisfaction from his last dollar than Victoria, and will therefore achieve a higher marginal utility with additional income than Victoria does with her current income. If we want to maximize the combined utility, we should redistribute income from Victoria to Fredrick.
The logic behind this is the diminishing marginal utility. The first unit of a good consumed gives the highest level of satisfaction, marginal utility reduces with additional units consumed. In the same way, when we spend our income, we purchase the things that give us the maximum satisfaction first.
.
I hope you meant find x
5x + 3x + 2x = 180. x=18