2. JOY leather, a manufacturer of leather Products, makes three types of belts A, B and C which are processed on three machines M1, M2 and M3. Belt A requires 2 hours on machine (M1) and 3 hours on machine (M2) and 2 hours on machine (M3). Belt B requires 3 hours on machine (M1), 2 hours on machine (M2) and 2 hour on machine (M3) and Belt C requires 5 hours on machine (M2) and 4 hours on machine (M3). There are 8 hours of time per day available on machine M1, 10 hours of time per day available on machine M2 and 15 hours of time per day available on machine M3. The profit gained from belt A is birr 3.00 per unit, from Belt B is birr 5.00 per unit, from belt C is birr 4.00 per unit. What should be the daily production of each type of belt so that the profit is maximum? a) Formulate the problem as LPM b) Solve the LPM using simplex algorithm. c) Interpret the shadow prices
Answers
Let X1 be the number of belt A produced per day
Let X2 be the number of belt B produced per day
Let X3 be the number of belt C produced per day
The objective function is to maximize the profit, which is 3X1 + 5X2 + 4X3.
The constraints are as follows:
The time spent on machine M1 must be less than or equal to 8 hours per day:
2X1 + 3X2 <= 8
The time spent on machine M2 must be less than or equal to 10 hours per day:
3X1 + 2X2 + 5X3 <= 10
The time spent on machine M3 must be less than or equal to 15 hours per day:
2X1 + 2X2 + 4X3 <= 15
The number of belts produced must be positive:
X1, X2, X3 >= 0
To solve this LPM using the simplex algorithm, you can follow these steps:
Write the objective function and the constraints in standard form. In standard form, the objective function is to minimize the cost, and all constraints are in the form of "less than or equal to" a certain value.
Identify the decision variables and the objective function coefficients. In this case, the decision variables are X1, X2, and X3, and the objective function coefficients are 3, 5, and 4, respectively.
Set up the initial simplex tableau. The initial tableau consists of the decision variables, the objective function coefficients, and the constraints.
Choose a pivot element. The pivot element is the element in the objective function row that has the most negative coefficient. In this case, the pivot element is X1.
Find the pivot column. The pivot column is the column that corresponds to the pivot element. In this case, the pivot column is column X1.
Find the pivot row. The pivot row is the row that corresponds to the smallest positive ratio between the right-hand side (RHS) value and the corresponding pivot column element. In this case, the pivot row is the one corresponding to the constraint 2X1 + 3X2 <= 8.
Replace the pivot element with the reciprocal of itself. In this case, the pivot element is 2, so it is replaced with 1/2.
Use the pivot element to eliminate all other elements in the pivot column. In this case, you would use the pivot element (1/2) to eliminate the elements in the pivot column in the other rows.
Repeat steps 4 to 8 until you reach an optimal solution.
Interpret the shadow prices. The shadow price of a constraint is the change in the objective function value for a unit change in the right-hand side (RHS) value of the constraint, with all other variables held constant. Shadow prices can help you understand the value of the constraints in the LPM and how they contribute to the optimal solution.
I hope this helps! Let me know if you have any questions.
Related Questions
how to solve this problem?
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Answer:
climax, rising action, resolution, imaginary
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Answer:
sales
Explanation:
Answer:
sales is the correct answer
Explanation:
because marketing is like shopping right?
Which sentence from the article explains a reason for the great migration?
Answers
The sentence from the article that explains the reason for the great migration is this:
D Two years later, black neighborhoods would come under attack in Chicago.
What is the Great Migration?The Great Migration was the mass movement of many Blacks from the Southern part of the United States to the Northern part during the early part of the 20th century.
This Great Migration was promoted by the mistreatment of the Blacks in this part of the country. In this article, we learn that they were subjected to different forms of labor and the targeted attack on the black neighborhoods was an even stronger reason to migrate.
List of options:
A The school educated African-Americans to be teachers, farmers and ministers.
B. Sharecropping, working for white farm owners, kept black families in debt.
C Apartment buildings built for five families were filled with 30 families.
D Two years later, black neighborhoods would come under attack in Chicago.
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According to the textbook, the single most important thing founders of an entrepreneurial venture can do is:Establish a strong ethical culture for their firms.
Answers
Create a strong ethical culture for their companies. The most crucial action founders of an entrepreneurial business can take is to set an example, claims the textbook.
The required details for ethical culture in given paragraph
The Ethical Movement, also known as the Ethical Culture Movement, Ethical Humanism, or just Ethical Culture, is an ethical, educational, and religious movement that is typically credited to Felix Adler (1851–1933). Together, individual chapter groups are known as "Ethical Societies," while their names may also be "Ethical Society," "Ethical Culture Society," "Society for Ethical Culture," "Ethical Humanist Society," or other variations on the word "Ethical." The secular moral traditions that flourished in the 19th century, primarily in Europe and the United States, gave rise to the ethical movement.
While some of those involved in this movement went on to organize for a secular humanist movement, others tried to create a secular moral movement that was vehemently "religious" in its approach to creating humanist ethical codes, in the sense of promoting congregational structures and religious rites and practices.
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What us difference between at the end & and in the end?
Answers
Answer:
Simply put, at the end refers to a specific time or location, whilst in the end is an idiomatic phrase that means in conclusion or in summary. However, the difference between at the end and in the end shows one of the main differences between use of the prepositions at and in.
What are common ideas that make up the sociological perspective
Answers
Answer:
The basic insight of sociology is that human behavior is shaped by the groups to which people belong and by the social interaction that takes place within those groups. We are who we are and we behave the way we do because we happen to live in a particular society at a particular point in space and time.
Explanation:
The basic insight of sociology is that human behavior is shaped by the groups to which people belong and by the social interaction that takes place within those groups. We are who we are and we behave the way we do because we happen to live in a particular society at a particular point in space and time.
Why did the author’s family change the name of ‘Gotcha Day, to Family Day?
Answers
hoped that helped!
Dieting is a form of cognitive control. A. True B. False
Answers
Is the answer
Answer:
A. True
Explanation:
I need an example of a title for
A
Poetry collection
Answers
Answer:
A Boy's Will (1913) - Robert Frost
Explanation:
Hope this helps :)
Pls make brainliest :p
And have an amazing day <3
Which of the following sentences contains the use of persuasive language?
There are both pros and cons to wearing school uniforms, with evidence to support both sides of the argument.
School uniforms often include khaki pants or skirts and button-down Oxford shirts.
School uniforms are a form of censorship, denying students their basic human right to express themselves as individuals.
At this time, there is no law regarding the use of school uniforms, which allows school districts to decide the issue themselves.
Answers
Answer:
At this time, there is no law regarding the use of school uniforms, which allows school districts to decide the issue themselves.
Explanation:
Persuasive language is a technique in writing wherein the writer seeks to convince the reader or audience to take a particular position. The last sentence is persuasive because the reader provides a reason why the recipient of the information should take a particular position.
The reason he provides to convince him is that "there is no law regarding the use of school uniforms." This was now a basis on which the school districts could make their own decisions about uniforms.
Can someone answer pls
Answers
Rachel asked Tom if he spoke English. (Did--> helping verb)
How to explain the verb• The receptionist asked a tourist if they were British or American. (Were--> helping verb)
• Mom asked if it was raining. (Was--> helping verb)
• Yuri asked Eric if he had a computer. (Had--> helping verb)
• Henry asked his sister if she could type. (Could--> helping verb)
• Victoria asked Hana if she had come by train. (Had--> helping verb)
• Felix asked Christopher if he had been to Bristol before. (Had--> helping verb)
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what part does lady macbeth play in macbeths decision to kill the king
Answers
Answer:
Lady Macbeth persuades Macbeth to kill King Duncan by preying on his sense of manhood and courage. It's B
Explanation:
Because i looked it up.
What is the simple predicate in the following sentence: Stress at work can affect personal friendships.
Answers
Answer:
The simple predicate in the sentence "Stress at work can affect personal friendships" is "can affect".
Difine Discriminational and examples
Answers
Everywhere we look, we see differences in wealth, power, and status. Some groups have higher status and greater privilege than others. This inequality in the system is what we call social stratification. In this unequal social system, there is often unfair treatment directed against certain individuals or social groups. This is referred to as discrimination. Discrimination can be based on many different characteristics—age, gender, weight, ethnicity, religion, or even politics. For example, prejudice and discrimination based on race is called racism. Oftentimes, gender prejudice or discrimination is referred to as sexism. Discrimination is often the outcome of prejudice—a pre-formed negative judgment or attitude. Prejudice leads people to view certain individuals or groups as inferior.
Someone help me pleaseeeee
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Answer: What do you need help with??
I need to write a rhetorical essay on “Ban Cars”
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Answer:
air quality
Explanation:
they cause pollution
examples on the four maxims
Answers
The Cooperative Principle developed by Grice has four maxims, including the Maxim of Quantity, Quality, Relevance, and Manner. The Maxims are useful in facilitating efficient and effective communication among people.
The Cooperative Principle developed by Grice contains four maxims that help people communicate efficiently and effectively. The four maxims include the Maxim of Quantity, the Maxim of Quality, the Maxim of Relevance, and the Maxim of Manner. In this regard, the examples of the four maxims are as follows:
1. Maxim of Quantity
The Maxim of Quantity explains that people should not provide unnecessary or inadequate information. Thus, people must communicate the appropriate amount of information required to accomplish a task or reach a common goal. For instance, when asked about the time, one should respond with specific details of the time instead of saying "in the afternoon."
2. Maxim of Quality
The Maxim of Quality describes the need to provide honest and truthful information. Hence, people must avoid providing misleading information, making unfounded claims, or sharing unsupported beliefs. For example, when asked a question, people should avoid giving answers based on their assumptions but rather based on facts.
3. Maxim of Relevance
The Maxim of Relevance is used to provide information that is relevant to the topic of discussion. Hence, people should avoid providing unrelated information that may confuse or divert the discussion from the main topic. For example, if two people are discussing cars, one of them should avoid diverting the conversation to bicycles.
4. Maxim of Manner
The Maxim of Manner describes how people should communicate their message clearly and effectively. Hence, people must avoid using language that may confuse, mislead, or offend the listener. For instance, people should avoid using sarcasm, irony, or hyperbole when communicating with a person who may not understand it.
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what is recalling the main points of a text?
Answers
Answer: Summarising.
Explanation:
Feel free to check online whether this is true or not, but be careful to use trustworthy sources. A manufactroversy is a manufactured controversy where there is really no meaningful disagreement by experts about the facts. Those who deny or hesitate to agree with the fact that we are experiencing climate change, as a result of human behavior, are either creating, perpetuating or falling for a manufactroversy.
Is this True or False?
Answers
Choose one literary selection from this semester and what you think the setting has a great impact on the work
Answers
The setting of The Great Gatsby is essential since it reveals a lot about the residents. The book is mostly situated in four locations: New York City, the Valley of Ashes, and the East and West Eggs.
Gatsby's transformation from a poor man to a new rich is a reflection of America's growth. The mansion owned by Gatsby is a concrete representation of the fulfillment of the American Dream. Gatsby's residence in West Egg demonstrates his lack of genuine acculturation to his high social rank.
The setting of a story is also important for the plot. There is no plot without any setting.
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HEY DID ANYONE READ THE STORY CALLED " THE NAMESAKE"
PLS ANSWER THIS!!
PLS WRITE 2 PARAGRAPHS WITH INTRO AND DIALOGES!
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In the story "Everyday Use", after visiting Di (Wangero) that day, she and her sister Maggie become even closer. Soon a conversation started around Maggie. Maggie is also tired of this life. She seeks to emulate Dee.
Not in the sense of becoming exactly like her, but because she wants to see the adult she has become. Not a roommate who specializes in housekeeping and quilting. Soon, with Dee's help, she was accepted into a fashion technical school.
From here Maggie discovered her entrepreneurial side. She becomes a High Brow fashion designer and ends up being a strong traditional woman like Mr. Johnson with the sophistication of Dee.
In her narrative, Mama gives a resolutions speech: "I will always miss my daughters. They are different and unique in their own ways. Perhaps my greatest joy is that Maggie also found herself.
But I am more grateful because I finally found a companion who knows how to take care of a strong woman like me. It all seemed surreal by some stroke of fate. Everything is finally in the right place."
What is the nature of Dee in Everyday Use?Dee is well-educated, worldly, and fiercely driven, seldom allowing her aspirations to be hindered. Mama grows enraged when she is denied the quilts to show.
She believes that Mama and Maggie don't understand their ancestors, yet she is the one who is ignoring vital pieces of her family history.
Johnson. Mrs. Johnson, the protagonist of the short story "Everyday Use," is Maggie and Dee's mother. The reader learns how important everyday use is to her right from the start of the novel.
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The most commonly used point of view in writing stories is ______
Answers
Answer:
Third Person View
3’rd POV
Hope This Helps!
- TheAnimeCatUwU
Answer:
The most commonly used point of view in writing stories is Third person point of view
Explanation:
First, second, and third person are ways of describing points of view. First person is the I/we perspective. Second person is the you perspective. Third person is the he/she/it/they perspective.
According to its definition, parody's main purposes are ___________. a. persuasion and information c. amusement and instruction b. explanation and self-expression d. entertainment and diversion
Answers
Answer:
D
Explanation:
What is the historical context surrounding the subject in “The Grant Shapps Affair Is a Testament to Wikipedia's Integrity and Transparency”
Answers
Answer:
The historical context that surrounds the subject in 'The Grant Shapps Affair Is a Testament to Wikipedia's Integrity and Transparency' is the article Federalist No. 10.
Explanation:
'The Grant Shapps Affair Is a Testament to Wikipedia's Integrity and Transparency' is an article written by Justin Anthony Knapp. The article centers around the controversy regarding Grant Shapps editing his English Wikipedia article to make it more appealing and removing any embarrassing information.
The historical context that Knapp makes in this article is related to the article Federalist No. 10 authored by James Madison in 1787, published on November 22. This essay emboldened the people of newly formed States to work towards the common well-being of the society. This historical context of the Federalist No. 10 is used as an analogy by the author.
"She bring home too many trophy."
Auntie Lindo lamented that Sunday.
"All day she play chess. All day I
have no time do nothing but dust off
her winnings."
Answers
Answer:
D “And right then, I was determined to put a stop to her foolish pride.”
Explanation:
The word that best describes the relationship between the narrator and Auntie Lindo is: Competitive.
What is Competition?Competition is the act of trying to outdo another person. In the dialogue between the narrator and Auntie Lindo, we can see that while the aunt bragged about her daughter's love for chess, the mother bragged about her daughter's love for music.
So, there was competition among them.
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what have you learned about visual information and media
Answers
Answer:
Visual information refers to data presented through images, videos, charts, graphs, and more, serving as a powerful means of communication. Media, on the other hand, involves the dissemination of information, ideas, and entertainment to a broad audience. Visual media, a subset of media, leverages visual elements like photographs, videos, and graphic design to effectively engage viewers. Visual information and media play vital roles in education, journalism, advertising, entertainment, and design. They facilitate comprehension, enhance engagement, and aid in the retention of information. Overall, visual information and media have become integral aspects of our modern society, shaping our understanding, experiences, and interactions with the world around us.
Explanation:
what is an adverb of Manner
Answers
An adverb of manner is a word that describes how an action is performed. Examples include: quickly, slowly, happily, sadly, loudly, softly, etc..
my house is - than yours (neat)
Answers
14. Read the following sentences from "Marriage is a Private Affair." In these sentences, Nene
writes a letter to the father-in-law she has never met and who refuses to meet her.
"...Our two sons, from the day they learnt that they have a grandfather, have insisted
on being taken to him. I find it impossible to tell them that you will not see them. I
implore you to allow Nnaemeka to bring them home for a short time during his leave
next month. I shall remain here in Lagos..."
Which of the following words best expresses the speaker's attitude toward her father-in-law?
Odemanding
Oearnest
O formal
Ohostile
Answers
According to the sentences, the words best expresses the speaker's attitude toward her father-in-law is option A which is demanding.
Speaker's attitudeA speaker's tone is sometimes referred to as their attitude. how an author creates and conveys the mood of a piece of work. The characters have a voice thanks to this, and the readers frequently feel something.
The speaker's tone is the attitude he or she conveys to the audience. It represents their relationship and how the speaker feels about them.
The intents and feelings of a character reveal it.
Therefore, the speaker attitude in a sentence is the intentions to convey his message
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Part B Which of the following lines of dialogue best supports the answer to Part A? a. Scrooge. You’re quite a powerful speaker, sir. I wonder you don’t go into Parliament. b. Scrooge. Oh, fine, a perfection, just fine … to see the perfect pair of you … talking about a Merry Christmas! c. Scrooge. Mr. Marley has been dead these seven years. He died seven years ago this very night. d. Scrooge. I help to support the establishments that I have mentioned: they cost enough: and those who are badly off must go there.
Answers
Scrooge. Sir, your speaking voice is commanding. You missing Parliament surprises me.
What makes a voice for speaking well?Your words will have more impact if you talk with a confident tone. All-powerful people express themselves with confidence, speak slowly, enunciate correctly, and use few filler words. When you speak too quickly, your pitch rises, frequently becoming squeaky and childish.Scrooge's speaking style in this dialogue had the greatest influence. If they would rather die, Scrooge counselled, "They had better do it and minimize the surplus population." Darkness was more affordable, therefore Scrooge favoured it.Let me hear another sound from you, and you'll lose your circumstance but keep your Christmas, Scrooge growled. Looking at his nephew, he remarked, "You have quite a voice, mister. It surprises me that you don't go to Parliament.To learn more about speaking voice , refer to:
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