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klio [65]
3 years ago
15

Helen's preferences over cds (c) and sandwiches (s) are given by u(s,

Mathematics
1 answer:
rusak2 [61]3 years ago
5 0
<span>The fact that Helen’s indifference curves touch the axes should immediately make you want to check for a corner point solution. To see the corner point optimum algebraically, notice if there was an interior solution, the tangency condition implies (S + 10)/(C +10) = 3, or S = 3C + 20. Combining this with the budget constraint, 9C + 3S = 30, we find that the optimal number of CDs would be given by 3018â’=Cwhich implies a negative number of CDs. Since it’s impossible to purchase a negative amount of something, our assumption that there was an interior solution must be false. Instead, the optimum will consist of C = 0 and Helen spending all her income on sandwiches: S = 10. Graphically, the corner optimum is reflected in the fact that the slope of the budget line is steeper than that of the indifference curve, even when C = 0. Specifically, note that at (C, S) = (0, 10) we have P C / P S = 3 > MRS C,S = 2. Thus, even at the corner point, the marginal utility per dollar spent on CDs is lower than on sandwiches. However, since she is already at a corner point with C = 0, she cannot give up any more CDs. Therefore the best Helen can do is to spend all her income on sandwiches: ( C , S ) = (0, 10). [Note: At the other corner with S = 0 and C = 3.3, P C / P S = 3 > MRS C,S = 0.75. Thus, Helen would prefer to buy more sandwiches and less CDs, which is of course entirely feasible at this corner point. Thus the S = 0 corner cannot be an optimum]</span>
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pav-90 [236]

When you create the number line, put 0 in the middle. Basically you put all the numbers you got from least to greatest on the number.

Since -3/2 is less than 0, it will go to the left of 0.

Since 3/2 and 5/2 are greater than 0, it will go to the right of 0.

Remember to use sub points of 1.

Best of Luck!

3 0
3 years ago
in Hanley's school, 0.723 of the students participated in an event. if there are 1000 students in Hanley School, how many partic
Ugo [173]
Answer:

723 students participated in the event

Explanations:

The total number of students in Hanley's school = 1000

0.723 of the students participated in an event

Number of students that participated in the event = 0.723 x 1000

Number of students that participated in the event = 723

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1 year ago
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Alex73 [517]
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Makovka662 [10]

Given:

The expression is

(-8)^3\cdot (-8)^4

To find:

The expression in repeated multiplication form and then write the expression as a power.

Solution:

We have,

(-8)^3\cdot (-8)^4

The repeated multiplication form of this expression is

=[(-8)\cdot (-8)\cdot (-8)]\cdot [(-8)\cdot (-8)\cdot (-8)\cdot (-8)]

=(-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)

Clearly, (-8) is multiplied seven times by itself. So,

=(-8)^7

Therefore, the repeated multiplication form of the given expression is (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8) and the expression as single power is (-8)^7.

7 0
2 years ago
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Ghella [55]

Answer:

4.47

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A squared + B squared = C squared

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the square root of 20 is 4.472135955, rounded to the nearest hundreth is 4.47

7 0
2 years ago
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