Maximize the objective function p = 5x + 3y for the given constraints. X ≥ 0 y ≥ 0 3x + 6y ≤ 48 2x + 8y ≤ 56.
Answers
The maximized value of the objective function is 38
The objective function is given as:
Max P = 5x + 3y
The constraints are given as:
3x + 6y ≤ 48 2x + 8y ≤ 56x ≥ 0 y ≥ 0To do this, we make use of the graphical method.
See attachment for the graph of the constraints.
From the graph, we have the following feasible point
[tex](x,y) = (4,6)[/tex]
Substitute 4 for x and 6 for y in the objective function.
[tex]Max\ P = 5x + 3y[/tex]
So, we have:
[tex]P = 5 \times 4 + 3 \times 6[/tex]
[tex]P = 20 + 18[/tex]
[tex]P = 38[/tex]
Hence, the maximized value of the objective function is 38
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Answer:
Explanation:
If an objective function has a maximum value, it will occur at one of the vertices of the feasible region (i.e., the solution region for the system of inequalities). The feasible region's vertices occur at (0, 0), (0, 7), (4, 6), and (16, 0).
Use the x- and y-value from each vertex to evaluate the objective function P = 5x + 3y.
(x, y) 5x + 3y P
(0, 0) 5(0) + 3(0) 0
(0, 7) 5(0) + 3(7) 21
(4, 6) 5(4) + 3(6) 38
(16, 0) 5(16) + 3(0) 80
Therefore, the maximum of the objective function is 80.
Related Questions
The crew of a garbage truck takes 5 hours to empty all the bins in one neighborhood on pickup day. The city assigned a second garbage truck to this neighborhood. During their training, it took the crew from the second truck 8 hours to empty all the bins. A table showing rate in part per hour, time in hours, and part of bins emptied. The first row shows first truck and has, startfraction 1 over 5 endfraction, t, and startfraction 1 over 5 endfraction times t. The second row shows second truck and has, startfraction 1 over 8 endfraction, t, and startfraction 1 over 8 endfraction times t. When the two crews start working together, what part of all the garbage bins will the first garbage truck empty? 0. 6 0. 5 0. 7 0. 4.
Answers
When the two crews start working together, the part of all the garbage bins that the first garbage truck will empty is; A: 0.6
We are told that the first truck empties all bins in 5 hours. Thus;
Rate of first truck per hour = ¹/₅
Second truck empties all bins in 8 hours. Thus;
Rate of second truck per hour = ¹/₈
If both trucks work together, their rate per hour is;
Combined rate per hour = ¹/₅ + ¹/₈
Combined rate per hour = ¹³/₄₀
Thus, number of hours it will take for both of them to do the whole job, we will solve as;
¹³/₄₀t = 1
where t is the time it will take both of them combined to finish the whole job.
Thus;
t = ⁴⁰/₁₃
The part that the first garbage truck will empty when they both work together = ¹/₅t = ¹/₅ * ⁴⁰/₁₃
⇒ Approximately 0.6
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Answer:
0.6
Explanation:
they will be evenly working together at 0.6
You have a worksheet in excel that will print as 10 pages.
Answers
Considering the situation described above, to ensure that the header row is printed at the top of each page, the user should start by "going to Page Layout tab."
The other steps to ensure that the header row is printed at the top of all the 10 pages include the following steps:
Click page set up under page set up a group.Go to print titles.Click Rows to repeat at top.Select the cell that contains the text you want to repeat.Click OK.Hence, in this case, it is concluded that to print the header row is to click on the "Page Layout Tab."
The full question is:
You have a worksheet in excel that will print as 10 pages. how can you ensure that the header row is printed at the top of each page?
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Which are points on the graph of y = 1. 5 + ⌈x⌉? select three options.
Answers
Answer:
1.3 ( 8>7)
Explanation:
The formula for density is given by p equals startfraction m over v endfraction, where p is density, m is mass and v is volume. If a substance has a mass of 27. 82 grams and a volume of 3. 6 ml, what is the most accurate density of the substance in g/ml? 7. 7 7. 7278 7. 73 0. 1.
Answers
Explanation:
so, we need to do the division :
27.82 g / 3.6 ml = 7.727777778... g/ml
so, 7.7278 is the rounded correct answer.
Which statement best describes a theme of the text? the government is always the highest law of the land. Religious law is above or greater than man's law. The laws of the government are sometimes correct and sometimes incorrect. One must be willing to accept punishment for breaking laws.
Answers
A theme simply means the main idea or the underlying meaning that a writer explores in a novel or literary work.
Your information is incomplete as you didn't provide the text. Therefore, an overview of a theme will be given. A theme is the central topic, subject, or message that's within a narrative.
The theme of a story can be conveyed by using the characters, dialogue, plot, settings, etc that's in the story. For the reader to understand the theme, it's important for one to understand what the story is about.
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Masalimuot kahulugan.
Answers
Answer:
Masalimuot in English means Complicated
Explanation:
composed of elaborately interconnected parts; complex:
difficult to analyze, understand, explain, etc.:
What is the chemical formula for iron(ii) hydroxide? femc033-1. Jpgoh fe(oh)mc033-2. Jpg feohmc033-3. Jpg feoh.
Answers
Answer:
B
Explanation:
took the test.
In what way is flick sticking his tongue on the flagpole an example of negative reinforcement?.
Answers
Sticking the tongue on the flagpole is an example of negative reinforcement because it produces an unpleasant sensation. In consequence, this behavior will be avoided in the future.
Negative reinforcement refers to a phenomenon that allows teaching a particular behavior.
Negative reinforcement occurs when an uncomfortable and/or unpleasant situation is taken away as a reaction to a particular stimulus.
This process (negative reinforcement) involves discarding the negative situation in order to strengthen a particular behavior.
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It is a process where genes are inserted into the genome of a different organism.
Answers
Answer:
Recombinant DNA technology
Explanation:
Recombinant DNA (rDNA) is a technology that uses enzymes to cut and paste together DNA sequences of interest. The recombined DNA sequences can be placed into vehicles called vectors that ferry the DNA into a suitable host cell where it can be copied or expressed.
A binary number is to be transformed by appending three 0s to the end of the number. For example, 11101 is transformed to 11101000. Which of the following correctly describes the relationship between the transformed number and the original number?.
Answers
Numbers can be converted from one base to another base. a. The transformed number is 8 times the value of the original number.
Given that:
Three 0s are appended to a binary digit to get a new binary digit.
Using the given values, the transformation can be illustrated as follows:
Where:
represents the three appended 0s.
In binary represents 8 in decimal.
So, the above illustration can be expressed as:
This means that the new or transformed number is 8 times the original number.
In what two ways does the el niño wind pattern affect human habitation?.
Answers
Which of the following situations can best be used to illustrate the meaning of prosperity? a. Manuel has lots of friends, a loyal dog, a well-paying job, and savings in the bank. B. Toshiko likes mashed potatoes, crisp apples, dark chocolate, and peaches. C. Caleb skis down the mountain every day to get to his job in the village. D. Janna designs costumes for all the musicals and plays at school.
Answers
Answer: A because he successful and that's what prosperity means.
Manuel has lots of friends, a loyal dog, a well-paying job, and savings in the bank can best be used to illustrate the meaning of prosperity. Thus, option A is correct.
What is prosperity?The blossoming, prospering, luck, and great social status are all characteristics of prosperity. Pleasure and happiness are two other variables that can be abundantly affluent in all proportions and are frequently produced by prosperity.
As Manuel help lots of friends as well as the dog. And paying job and savings post office suggest that he is having prosperity. Having all the good things in their life and living at that point of time with a backup plan is termed as prosperity that the person is having.
Therefore, option A is the correct option.
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A food worker needs to thaw and cook a large frozen ham.
Answers
Answer:
If ham is In a bag, thaw in sink. but if not in bag put ham in a bag then thaw.
In a paragraph of at least five sentences, answer the question: do you agree with picasso's claim that "the urge to destroy is also a creative urge"? include at least one specific reference to each excerpt in your response.
Answers
The question requires a personal answer and for that reason, I cannot write an answer for you, but I will show you how to write it.
First, you must think and reflect on Picasso's statement and what he meant by that statement. You can search for articles that help you think about this statement and decide whether or not you agree with it.
When you form your opinion about it, you can answer your question as follows:
Show your opinion of Picasso's claim.Show the reasons that created this opinion.Support or counter Picasso's claim.Show evidence that your opinion is correct.More information about Picasso at the link:
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Answer:No I don't agree with Picasso claim that “The urge to destroy is also a creative urge
Explanation:because the meaning of creative urge according to https://english.stackexchange.com “is there a word for the urge to do something creative.”
Creative urge is a sudden and strong compulsion to just create something and the Urge to destroy being a creative urge is very wrong and does not even match the creative urge definition.so I don’t not agree with the definition that the urge to destroy is a creative urge.but instead the urge to destroy should be classified into another destructive meaning but not under creative urge.
Which statement describes a personal pressure that is commonly associated with tobacco or nicotine use?.
Answers
Answer: children have parents who smoke
Explanation:
It says personal and all the other options are external factors so having parents that smoke is an internal or personal pressure :) I know cause I’m doing the test right now
You have been injured in the laboratory (cut, burned, etc.). First you should
Answers
Answer: tell a teacher or go to school nurse or call a parent.
Explanation:
Which characteristics belong to all members of the domain eukarya.
Answers
Answer:
Characteristics that belong to all members of the domain Eukarya are:
a cell membranenucleus or nucleimembrane-bound organellesExplanation:
Eukaryota consists of organisms that have a true nucleus and structures called organelles that are surrounded with by membranes.
The presence of nucleus which contains genetic material and is enclosed by a membrane sets them apart from prokaryotic cells.
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Answer:a cell membrane
nucleus or nuclei
membrane-bound organelles
Explanation: i looked at it
The following table shows the responses of 45 students from two different classes who were asked which of five amusement rides at a school fair was their favorite.
Answers
Answer:
B
Explanation:
According to the question, Boat Ride is the answer.
What is School?School refers to a location where formal education or learning is conducted. This essay uses the term to refer to both lower-level and higher-level educational institutions.
A school is a section of the school system made up of pupils belonging to one or more grade levels or other distinguishable groupings, arranged as a single entity with one or more teachers to deliver teaching of a specific sort, and housed in one or more buildings.
As is the situation when elementary and secondary schools are housed in the same building or compound, more than one school may be located there.
According to the organization's mandate, the school's daily operations are overseen by elected officials who may include department heads and school administrators. The community's role is one of learning, education, and research.
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Which of the following is an example of the self-fulfilling prophecy?.
Answers
Self-fulfilling prophecy is a psychological theory where what is believed or expected or said to a person comes to pass even if the belief is not a fact.
An example of self-fulfilling prophecy is telling a person that they are so poor in mathematics. This might not be true but because the person is told repeatedly, the person begins to believe it and would eventually become poor in mathematics.
Self-fulfilling prophecy can be negative or positive. It depends on the way it is used.
Here are the options of this question:
telling blue-eyed people they are unattractive, then feeling bad and complimenting people with blue eyes to avoid feeling guilty telling people you hate boy bands, then taking your child to a boy band fan club meeting telling someone with dyslexia she cannot learn to read, leading her to become illiterate even though she could learn to read with a bit of extra effort telling your spouse you hate his cooking, then taking over the cooking yourself to avoid food poisoningTo learn more about self-fulfilling prophecy, please check: https://brainly.com/question/1277769
You select cell a1, hover the pointer over the cell border to reveal the move icon, then drag.
Answers
A spreadsheet is used to make the organization of data in a tabular form through a computer application software which can also perform mathematical operations.
With this in mind, we can see that the data is arranged in rows and columns as they can be used to record data for business invoices, expenditures, etc.
Some popular spreadsheets includes:
Micros0ft ExcelLibre0ffice, etcA cell border can be added, resized and moved, along with the contents to another location.
Please note that your question is incomplete so I gave you a general overview to help you better understand the concept.
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Day and night kennel charges $20 per day plus a one-time food fee of $15 to board a pet. Bark time hotel charges $30 per day plus a one-time food fee of $5. Which system represents this real-world situation? mc004-1. Jpg mc004-2. Jpg mc004-3. Jpg mc004-4. Jpg.
Answers
The system of equation that represents this situation is y = 20x + 15 for day and night kernel and y = 30x + 5 for bark time hotel.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let y represent the total charges for for boarding a pet in x days.
Day and night kennel charges $20 per day plus a one-time food fee of $15 to board a pet. Hence:
y = 20x + 15
Bark time hotel charges $30 per day plus a one-time food fee of $5. Hence:
y = 30x + 5
The system of equation that represents this situation is y = 20x + 15 for day and night kernel and y = 30x + 5 for bark time hotel.
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A local supermarket organised two weeks of promotions to boost sales. The average daily sales before the campaign is $10 000, which becomes $11 000 during the promotion (average over 2 weeks). Which analysis below is not useful for evaluating whether the increase in sales is statistically significant?.
Answers
The analysis that is not useful for evaluating whether the increases in sales are statistically significant is to monitor sales for a longer period of time.
Statistical analysis helps to use different methods to properly collect data, and therefore future predictions and solutions. This is important to achieve organizational goals.
From the complete information, analysis that is not useful for evaluating whether the increases in sales are statistically significant is to monitor sales for a longer period of time.
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In sentence 6 (reproduced below), the writer is considering deleting the underlined text. However, strong evidence indicates that this event did not inspire the poem and that the author was in fact sarah josepha hale, not roulstone. Should the writer keep or delete the underlined text?.
Answers
Based on the information given, the correct option will be C. Keep it, because it previews the way the rest of the passage will support the thesis about Hale's authorship with evidence.
From the question, it was stated that one should show what the author should do with the underlined text.
The underlined text is important as it gives a preview of the passage. It's also used as supporting evidence to the claim of Hale.
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Which process is involved in growing crops? irrigation transportation recreation condensation.
Answers
Answer: irrigation
Explanation:
just took test on edg
Irrigation process is involved in growing crops It helps to grow agricultural crops, maintenance of landscape, re-vegetation of disturbed and dry soil and during low rainfall.
What is irrigation?Irrigation is the agricultural process of applying controlled amounts of water to land to assist in the production of crops. There are various types of irrigation- sprinkler irrigation, surface irrigation, drip irrigation, and manual irrigation.
It helps in nutritious growth of plants. The process by which water is brought to an area for use in growing crops is called irrigation. Irrigation is the process of artificial application of the desired amounts of water to the growing crops at required intervals. It helps to grow agricultural crops, maintenance of landscape, re-vegetation of disturbed and dry soil and during low rainfall.
Therefore,Irrigation process is involved in growing crops It helps to grow agricultural crops, maintenance of landscape, re-vegetation of disturbed and dry soil and during low rainfall.
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The gulf stream and global warming reading answers pdf.
Answers
The Gulf Stream simply means the strong ocean current which brings warm water from the Gulf of Mexico till it gets to the Atlantic Ocean.
Your information is incomplete. Therefore, an overview of the topic will be given. It should be noted that the Gulf Stream is a warm ocean current that is in the Western North Atlantic Ocean.
Global warming simply means the long-term heating of the Earth. It's the long-term shift in the weather patterns. This can be a result of the burning of fossil fuels which then produce heat-trapping gases.
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Which of the following statements is true of using internet of things devices in your home.
Answers
The internet of things is a concept whereby multiple devices get to connect and share data from a common repository. The Internet of Things refers to a network of physical devices that use sensors, software, and connectivity to share data.
Here are valid statements regarding the internet of things
Has greater Transparency Greater control Greater performanceExample of the application os internet of things
Smart refrigerators, smart watches, smart fire alarms, smart door locks, smart cities, medical sensors, fitness trackers, smart homes
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Ms. Sanchez’s students were asked how many hours they spend participating in organized sports each week. Each row of the table represents one sample from the class. Number of hours playing sports 5 5 3 0 6 2 2 4 5 2 3 4 3 0 1 4 0 4 3 6 what is the mean of the sample in the third row? 2. 2 2. 8 3. 0 3. 4.
Answers
The mean of a dataset is the average of the dataset.
The mean of the sample in the third row is 2.2
The dataset is given as:
5 5 3 0 6 2 2 4 5 2 3 4 3 0 1 4 0 4 3 6
From the complete question, the samples in the third row are:
Sample: 3 4 3 0 1
The mean of a dataset is calculated using:
[tex]\bar x = \frac{\sum x}{n}[/tex]
Where:
n = 5 i.e. the number of samples
So, we have:
[tex]\bar x = \frac{3 + 4 + 3 + 0 + 1}{5}[/tex]
Add the expressions in the numerator
[tex]\bar x = \frac{11}{5}[/tex]
Divide 11 by 5
[tex]\bar x = 2.2[/tex]
Hence, the mean of the sample in the third row is 2.2
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The gall he displayed during his exchange with the police officer made us all uneasy.
Answers
It should be noted that the appropriate word that can be used to replace the phrase in italics will be boldness.
From the information given, we are simply to choose the word that can be used to replace the word in italics.
In this case, the chosen word is gall. It should be noted that gall means boldness. Therefore, the sentence will be "The boldness he displayed during his exchange with the police officer made us all uneasy"
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Answer:
bOLDNESS
Explanation:
Water is being pumped from a large lake to a reservoir.
Answers
Answer:
Water is being pumped from a large lake to a reservoir 25 m above at a rate of 25 L/s by a 10-kW (shaft) pump. If the irreversible head loss of the piping system is 5 m, determine the mechanical efficiency of the pump.
Explanation:
hope it help u
itz by Riddhi
A recipe says to use 3 cups of flour to make 48 cookies.
Answers
Answer: The constant of proportionality that relates the number of cups with x and the number of cookies with y is 16
The given parameters are:
Cups (x) = 3
Cookies (y) = 48
Represent the number of cups with x and the number of cookies with y.
So, the constant of proportionality (k) is calculated using:
The above equation becomes
Divide 48 by 3
Hence, the constant of proportionality is 16
Explanation: