What type of quality is patience?
a VIRTUE
.......................
Answer:I hope this helps you have a good day
Explanation:
Patience is a virtue
Patience is defined as “the capacity to accept or tolerate delay, trouble or suffering without getting angry or upset,” a definition with several important components. Patience is also a skill. We can work on increasing our ability to be patient and engage in practices to become a more patient person.
patience n. the quality of being able calmly to endure suffering, toil, delay, vexation or the like; sufferance. patient sustaining pain, delay etc. without repining: not easily provoked,: persevering in long-continued or minute work: expecting with calmness.
Patience is a skill that can be learned and practiced, and it is a result of choosing to emphasize thinking over feeling. Here are some suggestions for developing the skill of patience (I am glad that you were patient enough to wait for them). Most of us live life at a fast pace, which makes patience difficult.
For this activity, you will read an article on the topic of negotiation and respond to a set of questions, and comment on at least 1 of your classmates’ responses. Your comments should be longer than "I agree" or "I disagree" and should demonstrate that you have read and thought about your classmates’ posts. First, read the following article: 10 Top Negotiation Examples. Second, keeping the article in mind as well as what you have learned in the course so far, answer the following questions:
1) Which of the negotiation examples have worked for you?
2)Explain your reasons. How much does personality matter in negotiations?
3)How do you negotiate under pressure?
4)Do you agree that a key competence in a procurement executive is an ability to negotiate? Why or why not?
Third, read through your classmates’ responses and choose at least 1 to comment on. Refer to the video, the content of the course, as well as your own knowledge and thoughts when commenting on your classmates’ posts.
https://www.pon.harvard.edu/daily/negotiation-skills-daily/famous-negotiators-feature-in-top-negotiations-of-2012/
For this activity, you will need to read the article "10 Top Negotiation Examples" and answer a set of questions related to negotiation. After that, you should also comment on at least one of your classmates' responses. Here are the answers to the questions:
1) Which of the negotiation examples have worked for you?
In order to answer this question, you will need to read the article "10 Top Negotiation Examples" and identify the examples that have worked for you personally.
2) Explain your reasons. How much does personality matter in negotiations?
Personality can play a significant role in negotiations. It can influence how you communicate, build rapport, and handle conflicts during the negotiation process. However, it is important to note that personality is just one factor among many that contribute to successful negotiations.
3) How do you negotiate under pressure?
Negotiating under pressure can be challenging, but it's important to stay calm and focused. One strategy is to take a moment to assess the situation and clarify your objectives. It can also be helpful to anticipate potential obstacles and have alternative solutions ready. Maintaining open communication and actively listening to the other party's concerns can also help navigate negotiations under pressure.
4) Do you agree that a key competence in a procurement executive is an ability to negotiate? Why or why not?
Yes, the ability to negotiate is indeed a key competence for a procurement executive. Negotiation skills are essential in procurement because they help in securing favorable deals, managing vendor relationships, and achieving cost savings.
A procurement executive who possesses strong negotiation skills can effectively navigate complex supplier agreements and maximize value for their organization.
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Egyptians were known for their advancements in all of the following except
a.
mathematics
c.
military strength
b.
herbalism
d.
astronomy
Please select the best answer from the choices provided
A
B
C
D
Answer: C
Explanation:
Answer:
c military strength
What type of structures have been made out of living trees in Asia?
A. basketball courts
B. schools
C. homes
D. bridges
That would be D, bridges. Bridges are often made of wood in many countries.
The Answer Is:
D. Bridges.
Migrating from Ethiopia, the ____________ people settled central Kenya.
Answer:
The Ethiopian Diaspora is one of the largest of all African countries and is concentrated primarily in the United States and United Kingdom. ... Internal migration occurs in the form of rural-urban migration, rural-rural migration, and resettlement policies, which are all substantial in Ethiopia.
"Assume that the required reserve ratio is 15 percent and that SAMA sells SR3 million worth of government securities to a customer who pays with a check drawn on the RiyadBank.
a. The excess reserve of Riyad Bank changed by how much?
b. By how much has the money supply changed?"
If the required reserve ratio is 15 percent and that SAMA sells SR3 million worth of government securities to a customer who pays with a check drawn on the RiyadBank, a. the excess reserve of Riyad Bank changed by SR2.55 million and b. the money supply increases by SR17 million.
Required reserve ratio = 15%
When SAMA sells SR3 million worth of government securities to a customer who pays with a check drawn on the RiyadBank, the excess reserve of Riyad Bank and the money supply of the country will change as follows:
a. The excess reserves of a bank are defined as the difference between its actual reserves and the required reserves. The actual reserves increase by SR3 million, and the required reserves increase by SR0.45 million (i.e. 15% of SR3 million).
Hence, the excess reserves of the Riyad Bank increase by SR2.55 million (i.e. SR3 million - SR0.45 million).
b. The money multiplier formula is:
Money multiplier = 1 / reserve ratio = 1 / 0.15 = 6.67
The money supply is calculated using the formula below:
Money supply = Money multiplier × excess reserves
Money supply = 6.67 × SR2.55 million = SR17 million
Therefore, the money supply increases by SR17 million.
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what describes the central idea of this passage? this would be for anyone who took the iready diagnostic because i cant put in photos
1) the great migration helped to make the Harlem renaissance possible
2) the great migration was another name for the Harlem renaissance
3) the Harlem renaissance was a cultural rebirth for African Americans
4) the Harlem renaissance changed how other people view African Americans
Answer:
D
Explanation:
in which stage of motivational readiness (stage of change) is a person who is an irregular exerciser?
The stage of change of a person who is an irregular exerciser lies in the preparation stage of motivational readiness. The preparation stage of motivational readiness is when a person starts to plan and prepare to initiate a new behavior that will help them achieve their goals, such as regular exercising.
The stages of change are five stages that describe a person's readiness to change: precontemplation, contemplation, preparation, action, and maintenance. People who exercise irregularly or occasionally, fall under the preparation stage of motivational readiness or the stage of change, where they have already made up their minds to change their behavior and begin exercising regularly. In this stage, the person has already made up their mind and started to create plans for change. The person in the preparation stage starts to explore different ways of achieving their goal and might seek external help like buying exercise gear or seeking support from a fitness trainer. In this stage, a person is not yet exercising regularly but is starting to make plans and prepare for the change of behavior.
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Which of the following is the BEST example of a culturally fair test question? A)."What should you do if you find a 3-year-old child on a freeway?" B)."Why do individuals buy automobile insurance?" C)."How are a cat and a dog alike?" D)."Why do farmers use tractors?"
The best example of a culturally fair test question would be option C - "How are a cat and a dog alike?" This is because this question does not require any specific cultural knowledge or background to answer. It is a neutral question that can be understood and answered by individuals from any cultural or ethnic background.
Option A, "What should you do if you find a 3-year-old child on a freeway?" may not be culturally fair as it assumes that the individual taking the test has knowledge about what to do in a specific situation in a particular cultural context.
Option B, "Why do individuals buy automobile insurance?" may not be culturally fair as the answer could vary depending on the individual's cultural background and experiences.
Option D, "Why do farmers use tractors?" may not be culturally fair as it assumes that the individual taking the test has knowledge about farming practices and equipment, which may not be relevant or familiar to individuals from different cultural backgrounds.
Overall, a culturally fair test question should be neutral and not assume any specific cultural knowledge or background.
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Categorical Imperative Worksheet
(T) (F) Feelings are good guides to morality.
(T) (F) Maxims are rules for action.
(T) (F) Prudence never serves evil ends.
(T) (F) It is right to follow the right maxim for the wrong reason.
(T) (F) Even evil people obey laws when it is in their interest.
(T) (F) The Golden Rule is a maxim about maxims.
(T) (F) The Golden Rule always works to decide right from wrong.
(T) (F) The Golden Rule fails when both parties want to do evil.
(T) (F) The Categorical Imperative generalizes the Golden Rule.
(T) (F) Universalizing a policy means restricting its application to only some times, places, or people.
(T) (F) A stable policy destroys itself
The answer is False, True, False, False, True, True, False, False, True, False and True respectively.
(F) Feelings are good guides to morality: This statement is false. Immanuel Kant, the philosopher associated with the Categorical Imperative, believed that moral decisions should be based on rationality and the application of universal principles, rather than relying on subjective feelings or emotions.(T) Maxims are rules for action: This statement is true. Maxims are principles or rules that guide our actions and decision-making. In the context of the Categorical Imperative, maxims are used to determine the moral permissibility of an action.(F) Prudence never serves evil ends: This statement is false. Prudence, which refers to practical wisdom and self-interest, can be used to pursue evil ends if one's actions are driven solely by personal gain without considering ethical considerations.(F) It is right to follow the right maxim for the wrong reason: This statement is false. According to the Categorical Imperative, the moral worth of an action is determined by the intention behind it. Following the right maxim for the wrong reason would not align with the moral principles advocated by the Categorical Imperative.(T) Even evil people obey laws when it is in their interest: This statement is true. Even individuals with evil intentions may choose to obey laws if it serves their self-interest or helps them avoid punishment. Compliance with laws does not necessarily indicate moral goodness.(T) The Golden Rule is a maxim about maxims: This statement is true. The Golden Rule, which states "Do unto others as you would have them do unto you," can be seen as a guiding maxim that promotes empathy and reciprocity in human interactions.(F) The Golden Rule always works to decide right from wrong: This statement is false. While the Golden Rule is a valuable ethical principle, it may not always provide a definitive answer in complex moral dilemmas or situations with conflicting interests.(F) The Golden Rule fails when both parties want to do evil: This statement is false. The Golden Rule emphasizes treating others as we would like to be treated. However, in situations where both parties want to engage in morally wrong actions, the Golden Rule may not provide clear guidance on resolving the conflict.(T) The Categorical Imperative generalizes the Golden Rule: This statement is true. The Categorical Imperative can be seen as a more generalized and formalized version of the Golden Rule, emphasizing the universality and rationality of moral principles.(F) Universalizing a policy means restricting its application to only some times, places, or people: This statement is false. Universalizing a policy, according to the Categorical Imperative, means applying it consistently and without exceptions to all people and situations, without restrictions or limitations based on specific circumstances.(T) A stable policy destroys itself: This statement is true. In the context of the Categorical Imperative, a policy or principle that leads to logical contradictions or undermines its own purpose is considered unstable and self-destructive.To learn more about Categorical Imperative, Visit:
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2. A boat carries a woman and a concrete block on a small lake. The woman drops the block overboard and inks immediately to the bottom. Does the water level in the lake, fall, or stay the same? Explain your answer
When a woman carrying a concrete block drops the block overboard and it sinks immediately to the bottom of a small lake, the water level in the lake remains the same.
The reason why the water level in the lake remains the same is that the mass of the block and the woman is still the same before and after the block is dropped into the water. Therefore, the weight of the water displaced by the woman and the block before and after the block is dropped into the water is the same. Hence, the water level will not change. This situation is known as Archimedes principle, which states that the buoyant force on an object in a fluid is equal to the weight of the fluid displaced by the object, and not on the mass of the object.
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The data in this chart goes back to 1983—move the timeline back to that point. You can see that both houses
were much less representative that year—the House was 92.3% white; the Senate, 98.0%. Now, click through
the timeline to see how representation has changed over time. What can you conclude?
The House has seen more significant change in minority representation than the Senate.
Both the House and Senate have shown little change in their minority representation.
Ob.
The Senate has seen more significant change in minority representation than the House.
Ос.
Both the House and Senate have shown significant change in their minority representation.
Od.
3 points
Answer: The House has seen more significant change in minority representation than the Senate.
Explanation:
Even though both chambers of Congress in the United States of America have seen change in their racial makeup, they are still predominantly white.
However, what the charts over the years have shown is that the US Senate is lagging far behind the House of Representatives in terms of change to its composition and the inclusion of diversity groups such as women, Blacks, Hispanics and other races.
For instance, in the current House of Representative, there are 104 reps who are either African American, Asian or Hispanic whereas that figure stands at only 10 in the Senate. Yes the Senate has less members but that the difference is still plain to see.
which type of goal is better for jobs that require creativity and taking a problem-solving approach? group of answer choices smart goal learning goal stretch goal general goal performance goal
A stretch goal is better for jobs that require creativity and problem-solving, as it encourages innovation and pushing boundaries.
For jobs that require creativity and a problem-solving approach, a stretch goal is often more effective. A stretch goal is a goal that challenges individuals to push beyond their current capabilities and achieve something beyond what is considered achievable or conventional. It encourages individuals to think innovatively, take risks, and explore new ideas and approaches. This type of goal fosters a growth mindset and encourages individuals to continuously learn, adapt, and improve their problem-solving skills. Stretch goals promote creativity by pushing individuals outside their comfort zones, allowing them to tap into their full potential and find unique solutions. While other types of goals, such as SMART goals or performance goals, may be suitable for specific tasks, a stretch goal is better suited for jobs that require a creative and problem-solving mindset, as it encourages exploration and innovation.For more such questions on Goal:
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The Law of Universal Gravitation was discovered by
Answer: sir Isaac Newton-
Drag the tiles to the correct boxes to complete the pairs.
Match the different methods used for calculating a company's final intrinsic value to the formulas used for calculating them.
price earnings ratio (PE)
weighted average cost of capital
Net operating profit after tax (NOPAT)
net earnings/number of outstanding
shares
market value of each share/ earning.
per share
net operating profit after taxes
an average percentage the company
pays to raise capital
net operating income after tax- (capital X
weighted average cost of capital)
earnings per share (EPS)
economic value added model (EVA)
Answer:
I can match them for you:
price earnings ratio (PE) = market value of each share/ earning per share
weighted average cost of capital = an average percentage the company pays to raise capital
Net operating profit after tax (NOPAT) = net operating profit after taxes
earnings per share (EPS) = net earnings/number of outstanding shares
economic value added model (EVA) = net operating income after tax- (capital X weighted average cost of capital)
What connection does the author draw between newspapers and the Union’s victory at the Port Royal Sound
Answer:
The Battle of Port Royal was one of the earliest amphibious operations of the American Civil War, in which a United States Navy fleet and United States Army expeditionary force captured Port Royal Sound, South Carolina, between Savannah, Georgia and Charleston, South Carolina, on November 7, 1861. The sound was guarded by two forts on opposite sides of the entrance, Fort Walker on Hilton Head Island to the south and Fort Beauregard on Phillip's Island to the north. A small force of four gunboats supported the forts, but did not materially affect the battle.
The attacking force assembled outside of the sound beginning on November 3 after being battered by a storm during their journey down the coast. Because of losses in the storm, the army was not able to land, so the battle was reduced to a contest between ship-based guns and those on shore.
The fleet moved to the attack on November 7, after more delays caused by the weather during which additional troops were brought into Fort Walker. Flag Officer Samuel F. Du Pont ordered his ships to keep moving in an elliptical path, bombarding Fort Walker on one leg and Fort Beauregard on the other; the tactic had recently been used effectively at the Battle of Hatteras Inlet. His plan soon broke down, however, and most ships took enfilading positions that exploited a weakness in Fort Walker. The Confederate gunboats put in a token appearance, but fled up a nearby creek when challenged. Early in the afternoon, most of the guns in the fort were out of action, and the soldiers manning them fled to the rear. A landing party from the flagship took possession of the fort.
When Fort Walker fell, the commander of Fort Beauregard across the sound feared that his soldiers would soon be cut off with no way to escape, so he ordered them to abandon the fort. Another landing party took possession of the fort and raised the Union flag the next day.
Despite the heavy volume of fire, loss of life on both sides was low, at least by standards set later during the American Civil War. Only eight were killed in the fleet and eleven on shore, with four other Southerners missing. Total casualties came to less than 100.
Explanation:
Which of the following was NOT used to keep African Americans from voting?
(a) Literacy tests
(b) Intimidation of the Ku Klux Klan
(c) Poll taxes
(d) 15th Amendment
Answer:
15th Amendment
Answer:
\(\boxed {\boxed {\sf D. \ 15th \ Amendment}}\)
Explanation:
Let's analyze each answer choice.
A. Literacy tests
These were used to suppress African American suffrage. Most African Americans didn't have equal educational opportunities, so they couldn't pass these extremely confusing tests.
B. Intimidation of the Ku Klux Klan
This was also used. This group used hate, intimidation, and violence to stop African Americans from voting.
C. Poll taxes
These required citizens to pay a fee before voting. Since African Americans didn't have the same opportunities for jobs and education, they couldn't afford the tax, so they couldn't vote.
D. 15th Amendment
This was not used. This amendment gave African Americans the right to vote. Therefore, this is the best choice because it wasn't used to keep them from voting.
Give two reasons why parents may need guidance in dealing with teenagers children
Answer:
ss
Explanation:
Answer:
1 reason may because some may have mental health problems or another reason may be if they have health problems such as, cancer or lung cancer.
Explanation:
In 49 BCE, the Roman Senate ordered Caesar to return to Rome from Gaul without his armies. Caesar refused and instead marched on Rome with one legion (about 5,000 men). As he crossed the Rubicon River, which represented a declaration of war on Rome, he reportedly said, “The die is cast”. What do you think Caesar meant by this?
Answer:
On an inscription at the riverfront of the Rubicon River, was written, that soldiers, flags, or weapons are not allowed beyond the river
However, knowing that he would have suffered death if he went into Rome alone, and that by crossing the river, the legion and himself are sentenced to death (or could cause a coup) automatically, therefore, by leading about 5,000 men across the Rubicon, then he (and his legion) have cast the die, (their goal is not for Julius Caeser or them to be killed) and it will eventually rest with a side up, therefore, their cause of action has started (which is to go into Rome and preserve themselves) and even if they stop (stop the die) there is still an outcome (punishment/coup), and therefore, there is no going back
Explanation:
what explanation does functionalism have for prejudice and discrimination today? a. prejudice and discrimination are established on an international level. b. prejudice and discrimination help to increase group cohesion. c. prejudice and discrimination are perpetuated by economic but not racial factors. d. prejudice and discrimination are the result of a struggle for scarce resources.
Functionalism is a sociological perspective that views society as a complex system of interdependent parts that work together to maintain stability and order. Therefore option B is correct i.e., prejudice and discrimination help to increase group cohesion.
When it comes to prejudice and discrimination, functionalism suggests that they exist because they serve a purpose in society. One possible explanation for this is that prejudice and discrimination help to increase group cohesion.
By creating an "us versus them" mentality, people who share a common identity can bond together and feel a sense of belonging. This, in turn, can lead to greater social stability and solidarity.
However, this explanation overlooks the harmful effects of prejudice and discrimination on individuals and groups who are targeted by these attitudes.
Discrimination can lead to unequal access to resources, opportunities, and services, which can have long-lasting negative effects on individuals and communities.
Additionally, the idea that prejudice and discrimination are necessary for group cohesion perpetuates harmful stereotypes and reinforces the idea that some groups are inherently inferior to others.
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In the excerpt from "The Jungle, which underlined word from the sentences above has a similar connotation INFURIATED? Base your answer on context as well as on your knowledge of words. The buzzing of the fly around his headirritated Nate enraged miguel when another driver wrecked his car. The fact that lan was late for the second time angered Darshon The long vat in line agitated Jan, who needed to be home at four/
Answer: C) The fact the that Ian was late for the second time angered Darshon .
Explanation: “Angered” is the closest to “infuriated” .
Explain fiscal policy. Provide a real or hypothetical example of Congress implementing fiscal policy.
Answer:
Fiscal policy it’s like a government's spending or taxation policies intended to maintain economic stability, which is indicated by levels of unemployment, interest rates, prices and economic growth.
Explanation:
what contributes to diversity within latin america? a. european religion. b. variety of languages. c. its colonial past. d. u. s. influence.
Latin America is diverse due to its many different languages, and its indigenous cultures have a long and varied past.
Is diversity a positive thing?
Creativity is enhanced by diversity. It promotes the pursuit of fresh knowledge and viewpoints, which improves decision-making and problem-solving. Companies' financial performance can increase thanks to diversity, which can also spark new insights and transformative inventions.
What is a variety of behavior?
As a result, we describe behavioral diversity as including the various and varied behavior patterns displayed by people, both within and between populations as well as within as well as between individuals.
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Latin America is diverse due to its many different languages, and its indigenous cultures have a long and varied past.
Is diversity a positive thing?Creativity is enhanced by diversity. It promotes the pursuit of fresh knowledge and viewpoints, which improves decision-making and problem-solving. Companies' financial performance can increase thanks to diversity, which can also spark new insights and transformative inventions.
What is a variety of behavior?As a result, we describe behavioral diversity as including the various and varied behavior patterns displayed by people, both within and between populations as well as within as well as between individuals.
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The need for more and more elaborate architecture arose what was the result of this demand
Is gettysburg a physical political historical or distribuation map Please help me I need help right now.
If sound waves did not blend (overtones) to produce unique sound qualities, what would be the only two variables among sound waves? (PLEASE HELP ME IT'S DUE TOMORROW)
Answer:
Explanation:
If sound waves did not mix (harmonics) to produce unique sound qualities, the two only variables among sound waves would be frequency and amplitude. Frequency is closely related to pitch and determines the number of cycles completed per second. Amplitude is the force of the sound wave and determines the loudness of the sound.
Answer: If sound waves did not blend (overtones) to produce unique sound qualities, the only two variables among sound waves would be amplitude and frequency.
Explanation:
Amplitude is the measure of the strength or intensity of a sound wave. It is determined by the amount of energy in the wave, and it is often represented by the height or size of the wave. A sound wave with a high amplitude will be louder than a sound wave with a low amplitude.
Frequency is the measure of how often a sound wave oscillates or vibrates. It is measured in hertz (Hz) and determines the pitch of the sound. A sound wave with a high frequency will have a higher pitch than a sound wave with a low frequency.
When sound waves blend together, they create overtones, which are additional frequency components above the fundamental frequency of the sound. These overtones are responsible for the unique sound qualities of different instruments, voices, and other sound sources. They allow us to hear the different harmonics and timbre of a sound.
If overtones did not blend together, each sound would only have a single frequency component, and all sounds would have a similar quality. For example, all instruments would sound the same, and it would be difficult to distinguish between different instruments. Similarly, all voices would sound the same and it would be difficult to distinguish between different people talking.
__3. This hunchback man is a son of well-known citizen of Arras who eventually sacrificed his priesthood life for marriage.
A. Adam de la Halle
B. Claudio Monteverdi
C.Giovanni Pierluigid de Palestrina
D. Johann Sebastian Bach
;(
A . Adam De La Halle
Adam De La Halle was destined to priesthood from birth . His area of expertise included - music, theology and religion . He wasn't a hunchback . He cleared the rumours of him being a hunchback by saying he wasn't. It is speculated that 'hunchback ' must have been a family name . He who was preparing to become a priest decided to marry a certain Marie .
20 points you can answer this question
what is the main idea of the World #3 – Chinese hackers target critical Indian infrastructure give least 5 summaries, please
and i have more question
Answer:
i don't know
Explanation:
difference between internal and foreign trade
Answer:
Internal Trade
There is no exchange of currency as trade takes place within the boundaries of the nation
Foreign Trade
Exchange of currency is there between the two countries/individuals/businesses involved in the trade
Answer:
Internal Trade
There is no exchange of currency as trade takes place within the boundaries of the nation
International Trade
Exchange of currency is there between the two countries/individuals/businesses involved in the trade
Internal trade is the trade that is conducted between parties within the political and geographical boundaries of a nation, while external trade is the trade that is conducted between two parties that are outside the nation's borders or between two countries.
Explanation:
pls tell me if wrong have a good day/night<3
I'm having trouble understanding the suggested solution to this question (solution from the exact questions posted by others on Chegg) The suggested LP model is as follows but I don't quite follow why the constraint isn't 6x + 8y >= 120. Is the suggested solution wrong/missing a constraint? Please help me! Thank you!
LP model (Suggested Solution)
Minimize:
1x + 2y
Subject to:
5x + 4y ≥ 120
x ≤ 12
y ≤ 10
x,y ≥ 0
Question
Mary is planning to do two part-time jobs, one in the retail store ABC and the other in the restaurant LMNO, to earn tuition. She decides to earn at least $120 per week. In ABC, she can work 5 to 12 hours a week, and in LMNO, she can work 4 to 10 hours a week. The hourly wages of ABC and LMNO are $6 per hour and $8 per hour, respectively. When deciding how long to work in each place, Mary hopes to make a decision based on work stress. According to reviews on the Internet, Mary estimates that the stress levels of ABC and LMNO are 1 and 2 for each hour of working, respectively (stress levels are between 1 and 5; a large value means a high work stress which may cause work and life imbalance). Since stress accumulates over time, she assumes that the total stress of working in any place is proportional to the number of hours she works in that place.
How many hours should Mary work in each place per week? State verbally the objective, constraints and decision variables. Then formulate the problem as an LP model. After that, solve it using the graphical solution procedure. Please limit the answer to within two pages.
The objective of the problem is to determine the number of hours Mary should work in each place per week in order to minimize work stress while earning at least $120.
The decision variables in this problem are:
- x: the number of hours Mary works in the retail store ABC per week
- y: the number of hours Mary works in the restaurant LMNO per week
The constraints in the LP model are as follows:
1. Mary must earn at least $120 per week: This is represented by the inequality constraint 5x + 4y ≥ 120, where the left-hand side represents the total amount Mary earns per week.
2. Mary can work between 5 and 12 hours per week in the retail store ABC: This is represented by the inequality constraint x ≤ 12, where x represents the number of hours Mary works in ABC.
3. Mary can work between 4 and 10 hours per week in the restaurant LMNO: This is represented by the inequality constraint y ≤ 10, where y represents the number of hours Mary works in LMNO.
4. Mary cannot work negative hours: This is represented by the constraint x, y ≥ 0, which ensures that the number of hours worked in each place cannot be negative.
Regarding your question about the suggested LP model, the constraint 6x + 8y ≥ 120 is not included in the model because it does not accurately represent the problem's requirements. The objective is to minimize work stress, not maximize earnings.
It is important to carefully consider the objective and constraints of the problem when formulating the LP model. The suggested solution correctly includes the constraint 5x + 4y ≥ 120, which ensures that Mary earns at least $120 per week.
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