1.
A three-digit number is formed from nine numbers (1, 2, 3, 4, 5, 6, 7, 8 & 9). No number can be repeated. How many different three-digit numbers are possible if 1 and 2 will not be chosen together?
Select one:
A. 672
B. 210
C. 462
D. 336
2.
In a recent survey conducted by a professor of UM, 200 students were asked whether or not they have a satisfying experience with the e-learning approach adopted by the school in the current semester. Among the 200 students interviewed, 121 said they have a satisfying experience. What is the 99% confidence interval for the proportion of all UM students who have a satisfying experience with the e-learning approach?
Select one:
A. 0.537 to 0.673
B. 0.548 to 0.662
C. 0.516 to 0.694
D. 0.524 to 0.686
3.
Suppose a professor wants to estimate the proportion of UM students who have a satisfying experience with the e-learning approach adopted by the school in the current semester. What is the minimum sample size that he should use if he wants the estimate to be accurate within 0.06 with a 90% confidence?
Select one:
A. 188
B. 267
C. 456
D. 752
4.
According to a poll on customer behavior, 30% of people say they will only consider cars manufactured in their country when purchasing a new car. Suppose you select a random sample of 180 respondents. The probability is 80% that the sample percentage will be contained within what symmetrical limits of the population percentage?
Select one:
A. 25.6% and 34.4%
B. 27.1% and 32.9%
C. 24.4% and 35.6%
D. 23.3% and 36.7%
In: Statistics and Probability
Consider the following time series data.
| Quarter | Year 1 | Year 2 | Year 3 |
| 1 | 4 | 6 | 7 |
| 2 | 2 | 3 | 6 |
| 3 | 3 | 5 | 6 |
| 4 | 5 | 7 | 8 |
| (a) | Choose the correct time series plot. | ||||||||||||
|
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| - Select your answer -Plot (i)Plot (ii)Plot (iii)Plot (iv)Item 1 | |||||||||||||
| What type of pattern exists in the data? | |||||||||||||
| - Select your answer -Only randomnessRandomness & Linear trendRandomness & SeasonalityRandomness, Linear trend & SeasonalityItem 2 | |||||||||||||
| (b) | Use a multiple regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. Qtr1 = 1 if Quarter 1, 0 otherwise; Qtr2 = 1 if Quarter 2, 0 otherwise; Qtr3 = 1 if Quarter 3, 0 otherwise. | ||||||||||||
| If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) If the constant is "1" it must be entered in the box. Do not round intermediate calculation. | |||||||||||||
| Value = + Qtr1 + Qtr2 + Qtr3 | |||||||||||||
| (c) | Compute the quarterly forecasts for next year based on the model you developed in part (b). | ||||||||||||
| If required, round your answers to three decimal places. Do not round intermediate calculation. | |||||||||||||
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| (d) | Use a multiple regression model to develop an equation to account for trend and seasonal effects in the data. Use the dummy variables you developed in part (b) to capture seasonal effects and create a variable t such that t = 1 for Quarter 1 in Year 1, t = 2 for Quarter 2 in Year 1,… t = 12 for Quarter 4 in Year 3. | ||||||||||||
| If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) | |||||||||||||
| Value = + Qtr1 + Qtr2 + Qtr3 + t | |||||||||||||
| (e) | Compute the quarterly forecasts for next year based on the model you developed in part (d). | ||||||||||||
| Do not round your interim computations and round your final answer to three decimal places. | |||||||||||||
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| (f) | Is the model you developed in part (b) or the model you developed in part (d) more effective? | ||||||||||||
| If required, round your intermediate calculations and final answer to three decimal places. | |||||||||||||
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| - Select your answer -Model developed in part (b)Model developed in part (d)Item 22 | |||||||||||||
| Justify your answer. | |||||||||||||
| The input in the box below will not be graded, but may be reviewed and considered by your instructor. | |||||||||||||
In: Statistics and Probability
Solve the given initial-value problem.
X' =
| 2 | 4 |
| −1 | 6 |
X, X(0) =
| −1 |
| 8 |
X(t) =
In: Advanced Math
Consider the following time series data.
Quarter Year 1 Year 2 Year 3
1 4 6 7
2 2 3 6
3 3 5 6
4 5 7 8
1.plot with line dot chart.
2.What type of pattern exists in the data?
a.Upward Trend Patter,
b. Downward Trend Pattern
c. Horizontal Pattern With Seasonality.
3.Use a multiple regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. Qtr1 = 1 if Quarter 1, 0 otherwise; Qtr2 = 1 if Quarter 2, 0 otherwise; Qtr3 = 1 if Quarter 3, 0 otherwise. If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)
a. Value = ( ) + ( ) Qtr1 + ( ) Qtr2 + ( ) Qtr3 + t
4.Compute the quarterly forecasts for next year. If required, round your answers to two decimal places.
In: Statistics and Probability
4. Consider the following time series:
| Quarter | Year 1 | Year 2 | Year 3 |
| 1 | 80 | 74 | 65 |
| 2 | 69 | 61 | 51 |
| 3 | 48 | 50 | 43 |
| 4 | 68 | 71 | 82 |
a. Construct a time-series plot. What type of pattern exists in the data? Is there an indication of a seasonal pattern? (10 points)
b. Use multiple linear regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. Qtr1 = 1 if quarter 1, 0 else; Qtr2 = 1 if quarter 2, 0 else; Qtr3 = 1 if quarter 3, 0 else. (20 points)
c. Compute the quarterly forecasts for next year. (10 points)
In: Statistics and Probability
Tony’s Hot Dog Stand
1. 1,600 people per day pass stand; 1 of 4 buy
2. ¼ buy=conversion rate=25%
3. Cogs=$.25
4. Avg. customer buys 2 tube steaks @$1 each
5. Cost of tube steaks - $.25 each
6. Customer buys 1x/day
7. Fixed Costs - $36K Tony salary; $12K depreciation ((he bought the stand for $60,000/5=12,000) So the total fixed cost is $48,000)
8. Business Days – 250 per year
9. Sales (Revenue) is $200,000
10. Variable Cost is $50,000
11. Fix Cost is $48,000
Now we need to calculate Tony’s Break-Even....For Tony,
this is a number he wants to know every day. Calculating the
Break-Even for the Hot Dog Stand BE =
FC/GM%
Yearly Break Even = ________ FC = _______ GM% = _______%
Monthly Break-Even = ___________ FC = _______ GM% =________%
Daily Break Even = _____________ FC = _______ GM % =_______ %
How did you calculate the breakeven?
What does this actually mean? Tony has to sell ___ hot dogs per day just to stay in business, anything after that is profit!
What is Tony’s Net Profit (year) (This is the stuff you want)?
In: Finance
Homework 16: Complete the MRP chart below.
A(1)
B(2) C(4) D(1) LEGEND: A to F are part numbers
E(2) E(2) F(2) F(1) (n) is number of children needed for
each parent
Part A: Lead-time = 1 week OQ = LFL
Safety Stock = 0
1
2
3
4
5
6
7
8
1. Gross Requirements
30
15
50
60
50
10
2. Scheduled Receipts
3. Projected On Hand 60
4. Net Requirements
5. Planned Order Receipt
6. Planned Order Release
Part B: Lead-time = 1 week OQ = LFL Safety Stock = 0
1. Gross Requirements
2. Scheduled Receipts
3. Projected On Hand 100
4. Net Requirements
5. Planned Order Receipt
6. Planned Order Release
Part C: Lead-time = 1 week OQ = LFL Safety Stock = 0
1. Gross Requirements
2. Scheduled Receipts
3. Projected On Hand 200
4. Net Requirements
5. Planned Order Receipt
6. Planned Order Release
Part D: Lead-time = 2 week OQ = LFL Safety Stock = 0
1. Gross Requirements
2. Scheduled Receipts
3. Projected On Hand 100
4. Net Requirements
5. Planned Order Receipt
6. Planned Order Release
Part E: Lead-time = 1 week OQ = LFL Safety Stock = 0
1. Gross Requirements
2. Scheduled Receipts
3. Projected On Hand 1000
4. Net Requirements
5. Planned Order Receipt
6. Planned Order Release
Part F: Lead-time = 2 week OQ = LFL Safety Stock = 0
1. Gross Requirements
2. Scheduled Receipts
3. Projected On Hand 800
4. Net Requirements
5. Planned Order Receipt
6. Planned Order Release
In: Operations Management
|
Risk Event |
Likelihood |
Impact |
Detection Difficulty |
When |
|
Wedding invitations |
2 |
4 |
1 |
1 month prior to wedding |
|
Wedding cake get damaged during transportation |
2 |
4 |
3 |
Driving form the bakery to the ceremony |
|
Bridemaids dresses comes late |
3 |
5 |
1 |
During the wedding ceremony |
|
Bad weather |
3 |
4 |
4 |
On the day of the wedding |
| undertake the risk assessment of the identified risk using the table provided |
In: Operations Management
|
Year |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
|
A |
1 |
1.01 |
1.0201 |
1.0303 |
1.0406 |
1.0510 |
1.0615 |
1.0721 |
1.0829 |
12.0305 |
|
B |
1 |
.9900 |
.9801 |
.9703 |
.9606 |
.9510 |
.9415 |
.9321 |
.9227 |
10.0487 |
Assume a purchase price of $10 Million for both properties.
(a) What is the expected total return (IRR) on a 10-year investment in each property? Use a
financial calculator or equation solver for this.
(b) If the 10% cap rate represents a fair market value for each property, then which property must
be the riskier investment, so that no mispricing has occurred?
(c) What is the approximate annual growth rate in operating cash flows for each building during
first nine years? This is simply the percentage-change in cash flows.
(d) How is the growth rate related to the cap rate and the investor's IRR in each property?
Assuming each property is priced at its required rate of return (i.e. making it NPV=0), what
general economic relationship discussed in class does this show?
In: Finance
1a)Giving an array of integers A[1:8] ={5, 1, 3, 2, 7, 6, 8, 4}.
What is the running time of the insertion sort if both A[1..n/2] and A[n/2+1,n] are also sorted. Justify your answer.
2-illustrate the operation of RADIX-SORT on the following list of English words: COW, DOG, SEA, RUG, ROW, MOB, BOX, TAB, BAR, EAR, TAR, DIG, TEA, NOW, FOX.
3-Use counting sort, sort the following numbers: 4, 2, 5, 4, 2, 3, 0, 2, 4, 3
In: Computer Science