1. Which of the following questions would not be studied by a microeconomist but would be studied by a macroeconomist?

1. Why do national economies grow?
2. What percentage of consumer income is spent on entertainment?
3. What happens to worker productivity when the job shifts to a 4-day workweek?
4. How is the electric industry harmed by the passage of new clean air legislation?

2. Exhibit 2-1 production possibilities curve data
consumption goods capital goods

10 0

9 1

7 2

4 3

0 4

According to the information, the opportunity cost of producing 3 units of capital is:

1. 3 units of consumption goods.
2. 4 units of consumption goods.
3. 6 units of consumption goods.
4. 7 units of consumption goods.
   
   3. Exhibit 2-3 production possibilities curve data
   Capital goods           0      10      20      30      40
   Consumer goods   200    180   140      80       0
   According to the data given in Exhibit 2-3, the production of 140 units of consumer goods and 10 units of capital goods:
   A) Is possible but it would be inefficient.
   B) May be a result of unemployment.
   C) May be a result of unused natural resources.
   D) All of the above.
   E) none of the above.

The following data gives the selling price, square footage, number of bedrooms, and age (in years) of condominiums that were sold in a neighborhood in the Bronx in the past six months

1. State the appropriate hypotheses to be tested   

2. Use Excel to run the appropriate regression test

3. Write the regression model equation:

Answer:   _______________________________________________

4. What is the strength of the relationship (strong, weak, moderate, no relationship)?

_______________________ Why? __________________________________

_______________________________________________________________

5. Using your equation from part c, predict the price of a Coop Apartment with 2640 square feet, 2 bedrooms, and is 2 years old.

Answer:   ___________________

6. Interpret b₃ in your equation in part c)        ______________________________________

___________________________________________________________________________

                         ____________________________________________________________________________

Red Bull is the most popular energy drink in sales in the United States. Red Bull GmbH (the parent company) has observed that daily sales are normally distributed with an average of 6,284,050 drinks sold with a standard deviation of 8,130.78. What is the probability that on a given day between 6,290,096 and 6,301,996 drinks are sold? Question 9 options: 1) We do not have enough information to calculate the value. 2) 0.0136 3) 0.2149 4) 0.0005 5) 0.7715

Question 10 (1 point) When students use the bus from their dorms, they have an average commute time of 11.13 minutes with standard deviation 3.0876 minutes. Approximately 26.34% of students reported a commute time less than how many minutes? Assume the distribution is approximately normal. Question 10 options: 1) 9.18 2) 13.08 3) 5.1 4) 17.16 5) We do not have enough information to calculate the value.

Question 11 (1 point) Suppose that the distribution of income in a certain tax bracket is approximately normal with a mean of $53,183.88 and a standard deviation of $1,799.608. Approximately 18.56% of households had an income greater than what dollar amount? Question 11 options: 1) We do not have enough information to calculate the value. 2) 54,793.14 3) 51,574.62 4) 2,842,851 5) 2,949,219

Question 12 (1 point) According to a survey conducted by Deloitte in 2017, 0.4609 of U.S. smartphone owners have made an effort to limit their phone use in the past. In a sample of 89 randomly selected U.S. smartphone owners, what is the probability that greater than 46 will have attempted to limit their cell phone use in the past? Question 12 options: 1) 0.0241 2) 0.1703 3) 0.8779 4) 0.0483 5) 0.1221

Question 13 (1 point) According to a survey conducted by Deloitte in 2017, 0.4702 of U.S. smartphone owners have made an effort to limit their phone use in the past. In a sample of 54 randomly selected U.S. smartphone owners, what is the probability that between 22 and 29 (inclusively) will have attempted to limit their cell phone use in the past? Question 13 options: 1) 0.1383 2) 0.7244 3) 0.2756 4) 1.0844 5) 0.0132

Question 14 (1 point) According to a survey conducted by Deloitte in 2017, 0.44 of U.S. smartphone owners have made an effort to limit their phone use in the past. In a sample of 87 randomly selected U.S. smartphone owners, approximately __________ owners, give or take __________, will have attempted to limit their cell phone use in the past. Assume each pick is independent. Question 14 options: 1) 4.63 , 38.28 2) 38.28 , 21.40 3) 87 , 4.63 4) 38.28 , 0.44 5) 38.28 , 4.63

2.

a) Find Ts(x), the third degree Taylor polynomial about x -0, for the function e2

b) Find a bound for the error in the interval [0, 1/2]

3. The following data is If all third order differences (not divided differences) are 2, determine the coefficient of x in P(x). prepared for a polynomial P of unknown degree P(x) 2 1 4

I need help with both. Thank you.

I. Suppose the inverse demand function for a monopolist’s product is given by ? = 150 − 2? and the total cost function is given by ?? = 100 + 30?

1. Determine the profit-maximizing price and quantity

2. Determine the maximum profits

II. Suppose the inverse demand function for a monopolistically competitive firm’s product is given by

? = 100 − 2?
and the cost function is given by ?? = 52 + 4?

1. Determine the profit-maximizing price and quantity

2. Determine the maximum profits.

1) Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x)= -x^3-6x

2) Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x)= x^4/4+x^3+x^2

3) Locate the critical points of the following function. Then use the Second Derivative Test to determine whether they correspond to local​ maxima, local​ minima, or neither.  f(x)= -x^3-3x^2

If you take a boat from earth and put it on a planet with twice earth’s gravity, what would

happen if you tried to float it in water? Hint: Think about the buoyancy force formula. (5

points)

2. You drop a cube of mass 1 kg into a cup of water. It sinks with an acceleration of 2

m/s^2.

a. What is the buoyancy force of the water? (4 points)

b. What is the density of the water if the volume of the cube is 30 cm^3 (4 points)

The following data was collected by taking samples of size 10 from a production process at Murray Manufacturing. The average weight and range are resented in the data below. Develop an X bar chart to determine if the production process is statistically in control and comment on any pattern, if present. Sample Sample Mean Range 1 11 1.5 2 12 1 3 14 2 4 11 .5 5 13 1 6 14 1 7 12 1.5 8 12 2 9 11 1 10 16 .5 11 13 1.5 12 10 1 13 12 1 14 13 2 15 11 1.5

. Fibonacci sequence Fn is defined as follows: F1 = 1; F2 = 1; Fn = Fn−1 + Fn−2, ∀n ≥ 3. A pseudocode is given below which returns n’th number in the Fibonacci sequence. RecursiveFibonacci(n) 1 if n = 0 2 return 0 3 elseif n = 1 or n = 2 4 return 1 5 else 6 a = RecursiveFibonacci(n − 1) 7 b = RecursiveFibonacci(n − 2) 8 return a + b Derive the complexity of the above algorithm by writing the recurrence and solving it. Use the memoization idea (of dynamic programming) to obtain a linear time algorithm for the above problem. Show Pseudo-code and complexity proof. (5 + 10)

PLEASE CLEARLY STATE AND ANSWER EACH QUESTION ( 1THROUGH 6)

The following data gives the selling price, square footage, number of bedrooms, and age (in years) of condominiums that were sold in a neighborhood in the Bronx in the past six months

1. State the appropriate hypotheses to be tested (6 pts.)
2. Use Excel to run the appropriate regression test (ATATCH) (6 pts.)
3. Write the regression model equation: (6 pts.) Answer: _______________________________________________
4. What is the strength of the relationship (strong, weak, moderate, no relationship)? (4 pts)_______________________ AND Why? __________________________________
5. Using your equation from part c, predict the price of a Coop Apartment with 2640 square feet, 2 bedrooms, and is 2 years old.
6. Interpret b₃ in your equation in part c)