The Advanced Tech Company has a project to design an integrated information database for a major bank. Data for the project are given in the Table. Indirect project costs amount to $300 per day. The company will incur a $150 per day penalty for each day the project lasts beyond day 14. What would be the least cost to achieve this desired result?
|
Activity |
Normal Time (days) |
Normal Cost ($) |
Crash Time (days) |
Crash Cost ($) |
Immediate Predecessor(s) |
|
A |
6 |
1,000 |
5 |
1,200 |
— |
|
B |
4 |
800 |
2 |
2,000 |
— |
|
C |
3 |
600 |
2 |
900 |
A, B |
|
D |
2 |
1,500 |
1 |
2,000 |
B |
|
E |
6 |
900 |
4 |
1,200 |
C, D |
|
F |
2 |
1,300 |
1 |
1,400 |
E |
|
G |
4 |
900 |
4 |
900 |
E |
|
H |
4 |
500 |
2 |
900 |
G |
In: Operations Management
Postlab Questions
1. A student claims that a given unknown is a carboxylic acid because the sample dissolves in water, 10% NaOH, and 10% NaNCO3. Critique this conclusion.
2. Explain how solubility tests could be used to differentiate between:
a. a phenol and a carboxylic acid.
b. a phenol that contains electron-withdrawing groups and a phenol that contains electron-donating groups.
c. a carboxylic acid and an amine.
d. 1-bromooctane and dibutyl ether.
e. 2-pentyne and pentane.
f. 2-nitropentane and 2-aminopentane.
3. What chemical tests could be used to differentiate between:
a. cyclohexanone, cyclohexanol, cyclohexylamine, and cyclohexanecarboxylic acid.
b. 4-methyl-1-pentanol, 4-methyl-2-pentanol, and 2-methyl-2-pentanol.
4. In the Tollens test, what substance is being oxidized and what substance is being reduced?
In: Chemistry
1. Class records at Rockwood College indicate that a student selected at random has probability 0.62 of passing French 101. For the student who passes French 101, the probability is 0.81 that he or she will pass French 102. What is the probability that a student selected at random will pass both French 101 and French 102? (Round your answer to three decimal places.)
2. Isabel Briggs Myers was a pioneer in the study of personality types. The personality types are broadly defined according to four main preferences. Do married couples choose similar or different personality types in their mates? The following data give an indication.
|
Similarities and Differences in a Random Sample of 375 Married Couples |
|
|
Number of Similar Preferences |
Number of Married Couples |
|
All four |
29 |
Suppose that a married couple is selected at random.
(a) Use the data to estimate the probability that they will have 0, 1, 2, 3, or 4 personality preferences in common. (Enter your answers to 2 decimal places.)
|
0 |
1 |
2 |
3 |
4 |
(b) Do the probabilities add up to 1? Why should they?
Yes, because they do not cover the entire sample space.No, because they do not cover the entire sample space. Yes, because they cover the entire sample space.No, because they cover the entire sample space.
(c ) What is the sample space in this problem?
0, 1, 2, 3 personality preferences in common1, 2, 3, 4 personality preferences in common 0, 1, 2, 3, 4, 5 personality preferences in common0, 1, 2, 3, 4 personality preferences in common
In: Statistics and Probability
A researcher is interested to learn if there is a linear relationship between the hours in a week spent exercising and a person’s life satisfaction. The researchers collected the following data from a random sample, which included the number of hours spent exercising in a week and a ranking of life satisfaction from 1 to 10 ( 1 being the lowest and 10 the highest).
|
Participant |
Hours of Exercise |
Life Satisfaction |
|
1 |
3 |
1 |
|
2 |
14 |
2 |
|
3 |
14 |
4 |
|
4 |
14 |
4 |
|
5 |
3 |
10 |
|
6 |
5 |
5 |
|
7 |
10 |
3 |
|
8 |
11 |
4 |
|
9 |
8 |
8 |
|
10 |
7 |
4 |
|
11 |
6 |
9 |
|
12 |
11 |
5 |
|
13 |
6 |
4 |
|
14 |
11 |
10 |
|
15 |
8 |
4 |
|
16 |
15 |
7 |
|
17 |
8 |
4 |
|
18 |
8 |
5 |
|
19 |
10 |
4 |
|
20 |
5 |
4 |
Find the mean hours of exercise per week by the participants.
Find the variance of the hours of exercise per week by the participants.
Determine if there is a linear relationship between the hours of exercise per week and the life satisfaction by using the correlation coefficient.
Describe the amount of variation in the life satisfaction ranking that is due to the relationship between the hours of exercise per week and the life satisfaction.
Develop a model of the linear relationship using the regression line formula.
Insomnia has become an epidemic in the United States. Much research has been done in the development of new pharmaceuticals to aide those who suffer from insomnia. Alternatives to the pharmaceuticals are being sought by sufferers. A new relaxation technique has been tested to see if it is effective in treating the disorder. Sixty insomnia sufferers between the ages of 18 to 40 with no underlying health conditions volunteered to participate in a clinical trial. They were randomly assigned to either receive the relaxation treatment or a proven pharmaceutical treatment. Thirty were assigned to each group. The amount of time it took each of them to fall asleep was measured and recorded. The data is shown below. Use the appropriate t-test to determine if the relaxation treatment is more effective than the pharmaceutical treatment at a level of significance of 0.05.
|
Relaxation |
Pharmaceutical |
|
98 |
20 |
|
117 |
35 |
|
51 |
130 |
|
28 |
83 |
|
65 |
157 |
|
107 |
138 |
|
88 |
49 |
|
90 |
142 |
|
105 |
157 |
|
73 |
39 |
|
44 |
46 |
|
53 |
194 |
|
20 |
94 |
|
50 |
95 |
|
92 |
161 |
|
112 |
154 |
|
71 |
75 |
|
96 |
57 |
|
86 |
34 |
|
92 |
118 |
|
75 |
41 |
|
41 |
145 |
|
102 |
148 |
|
24 |
117 |
|
96 |
177 |
|
108 |
119 |
|
102 |
186 |
|
35 |
22 |
|
46 |
61 |
|
74 |
75 |
A researcher is interested to learn if there is a relationship between the level of interaction a women in her 20s has with her mother and her life satisfaction ranking. Below is a list of women who fit into each of four level of interaction. Conduct a One-Way ANOVA on the data to determine if a relationship exists.
|
No Interaction |
Low Interaction |
Moderate Interaction |
High Interaction |
|
2 |
3 |
3 |
9 |
|
4 |
3 |
10 |
10 |
|
4 |
5 |
2 |
8 |
|
4 |
1 |
1 |
5 |
|
7 |
2 |
2 |
8 |
|
8 |
2 |
3 |
4 |
|
1 |
7 |
10 |
9 |
|
1 |
8 |
8 |
4 |
|
8 |
6 |
4 |
1 |
|
4 |
5 |
3 |
8 |
Is there a relationship between handedness and gender? A researcher collected the following data in hopes of discovering if handedness and gender are independent (Ambidextrous individuals were excluded from the study). Use the Chi-Square test for independence to explore this at a level of significance of 0.05.
|
Left-Handed |
Right-Handed |
|
|
Men |
13 |
22 |
|
Women |
27 |
18 |
A researcher is interested in studying the effect that the amount of fat in the diet and amount of exercise has on the mental acuity of middle-aged women. The researcher used three different treatment levels for the diet and two levels for the exercise. The results of the acuity test for the subjects in the different treatment levels are shown below.
|
Diet |
|||
|
Exercise |
<30% fat |
30% - 60% fat |
>60% fat |
|
<60 minutes |
4 |
3 |
2 |
|
4 |
1 |
2 |
|
|
2 |
2 |
2 |
|
|
4 |
2 |
2 |
|
|
3 |
3 |
1 |
|
|
60 minutes |
6 |
8 |
5 |
|
or more |
5 |
8 |
7 |
|
4 |
7 |
5 |
|
|
4 |
8 |
5 |
|
|
5 |
6 |
6 |
Perform a two-way analysis of variance and explain the results. (Show all work to receive full credit)
Find the effect size for each factor and the interaction and explain the results. (Show all work to receive full credit)
In: Statistics and Probability
Suppose you have a pair of tetrahedra. One is red on one face, yellow on two faces, and green on one face. The other is white and has faces marked 1, 2, 3 ,4
a. Complete the table
| 1 | 2 | 3 | 4 | |
| Red | ||||
| Yellow | ||||
| Yellow | ||||
| Green |
b. If both tetrahedra are tossed, what is the probability of a red (facing down) and a 3 (facing down)? Of a yellow (facing down) and a number >1 on the other (facing down?) Of a green (facing down) and a number >4 (facing down) on the other? Of a yellow (facing down) on the colored one and a sum of >2 of faces showing on the other?
In: Statistics and Probability
The machine produces annual units of 1,000 units. Each unit has sale price of $200 per unit and cost of $100 per unit. Sale price and cost will increase 3% per year. The tax rate is 25%.
If NWCt= 12% * Sale (t+1), what is FCF at year 2?
Given the machine is bought at $200,000 with shipping cost of $10,000 and installation cost of $30,000. The machine has economic life of 4 years.
Year MACRS
1 33%
2 45%
3 15%
4 7%
1) $103,508.40
2) -$6,250
3) $102,080
4)$145,600
5)$94,080
In: Finance
Consider the following time series data.
|
Quarter |
Year 1 |
Year 2 |
Year 3 |
|
1 2 3 4 |
4 2 3 5 |
6 3 5 7 |
7 6 6 8 |
In: Operations Management
The following jobs are waiting to be processed at Jeremy LaMontagne's machine center. Today is day 240.
|
Job |
Date job received |
Due date |
Duration (days) |
|
1 |
210 |
270 |
25 |
|
2 |
215 |
280 |
35 |
|
3 |
220 |
295 |
45 |
|
4 |
235 |
315 |
40 |
|
5 |
240 |
340 |
15 |
Calculate the Critical Ratios (CR): (Enter all responses rounded to two decimal places.)
JOB CR
1 ?
2 ?
3 ?
4 ?
5 ?
Using the Critical Ratio (CR) scheduling rule for sequencing the jobs, the order is:
Sequence Job
1 ?
2 ?
3 ?
4 ?
5 ?
In: Operations Management
Consider the following time series data.
|
Quarter |
Year 1 |
Year 2 |
Year 3 |
|
1 2 3 4 |
4 2 3 5 |
6 3 5 7 |
7 6 6 8 |
In: Operations Management
4. Determine the intervals on which the graph of each function is concave up or concave down and determine all points of inflection. Justify your responses.
a) y=1/20x^5 + 1/4x^4 - 3/2x^3 - 27/2x^2 + x-4
b) y=2x^1/5 +3
In: Math