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.
Promotion of learning and respect for teachers are among the traditional values of the vietnamese.
The Vietnamese believe that One of the traditional values of the Vietnamese people is the promotion of learning and the respect for teachers.
As Vietnam’s educational culture was sparked by Chinese influence, the roots of education come from the country’s belief in Confucianism.
The Vietnamese believe that One of the traditional values of the Vietnamese people is the promotion of learning and the respect for teachers. In the Feudal and Colonial periods, teacher’s were seen to have more importance than parents; their position was “only lower than the king”.
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A cart with an unknown mass is at rest on one side of a track. A student must find the mass of the cart by using newton’s second law. The student attaches a force probe to the cart and pulls it while keeping the force constant. A motion detector rests on the opposite end of the track to record the acceleration of the cart as it is pulled. The student uses the measured force and acceleration values and determines that the cart’s mass is 0. 4kg. When placed on a balance, the cart’s mass is found to be 0. 5kg. Which of the following could explain the difference in mass?.
Answer:
The track was not level and was tilted slightly downward.
Explanation:
The track was not level and was tilted slightly downward.
When grading compositions, which measure has the strongest correlation with the overall quality of the writing?.
Based on writing standards, when grading compositions, the measure that has the strongest correlation with the overall quality of the writing is "length."
Elements of quality writingGenerally, the elements of quality writing include the following:
FocusDevelopmentUnityCoherenceCorrectness.However, based on research studies, the strongest correlate of quality writing is Length, with a correlation of 0.557.
Hence, in this case, it is concluded that the correct answer is "Length."
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How does the stranger show that he is more aggressive.
Answer:
Tone, behavior, attitude are some ways that people show aggression.
i'm not sure if this is exactly what you're asking for
Explanation:
Which power does the president have as chief executive brainly.
Answer:
implement policy, supervise the executive branch of government
Jurisdiction of office
Officeholder
Explanation:
About 512,000,000 results (0.83 seconds)
The formal powers and duties of the president are outlined in Article II of the Constitution. As Chief Executive the president can: implement policy, supervise the executive branch of government, prepare executive budget for submission to congress, and appoint and remove executive officials.
Jurisdiction of office: United States
Officeholder: Barack Obama; George Washington...
Answer:
implement policy,supervise the executive branch of government
Which of the following neutral atoms is the least reactive?.
Answer:
The least reactive elements are the noble gases. Within this group, helium is the least reactive element, forming no stable compounds. Metal can have multiple oxidation states and tend to have intermediate reactivity. Metals with low reactivity are called noble metals.
Deanna is a new medical assistant in the office in which you work. She does not understand the matrix for making appointments. On her second day at work, she is on her own to make appointments, because the person who usually makes appointments is out with a sick child. Deanna makes two appointments in each slot as she did in her previous place of employment instead of the one that should have been made using the matrix. How will this affect the patients who are being seen for the next few days? what will this mistake do to public relations in the office?.
Based on the information given, the impact of the appointments made will be that the slot time will be changed or there'll be an increase in the waiting time.
From the information given, Deanna should have made one appointment but rather, she made two appointments. This will lead to an increase in the waiting time for the other patients.
The impact of the mistake on public relations in the office is that it will lead to delay in services and a poor guidance system.
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An informative presentation can be used for conducting a classroom discussion. Discuss strategies for engaging students when presenting a topic of discussion in a presentation.
An informative presentation is a type of presentation that serves specific audiences. In the classroom, an informative presentation must be instructive and edifying for all the students.
An informative presentation is a presentation useful for a specific audience (in this case, students), which should be ideally both instructive and edifying for all the audience.
Some useful tips that can help to achieve an informative presentation include:
Share storiesAdd videosPoll the classMake discussion extensiveAn informative presentation always includes an enriching discussion, which means that the presentation should be interactive and involve students in the process.
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Ken is not satisfied with his thesis statement in sentence 3. Which of the following should replace sentence 3 to provide a more effective thesis statement?.
A recipe says to use 3 cups of flour to make 48 cookies.
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:
Which of the following is a key strategy for nutrition coaching?.
Answer:
Add-on sessions for individual nutrition coaching. It's time to become certified in nutrition if you already have fitness clients. …
Provide nutrition coaching for small groups. Nutritional coaching for small groups is similar to personal training. …
Organize a nutrition challenge. You will not only retain more coaching clients when you offer nutrition challenges, but they will also help your clients reach their goals.
Provide nutrition-only coaching. If you're a coach, you know there will always be people asking you questions about nutrition in the gym.
Engage in corporate group work. Coaching corporate groups is one area that coaches simply don't take advantage of enough.
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They allow us. On our choice of the elective subjects in school and your hobbies.
Elective subject simply means an optional subject because it's not compulsory and one can choose the subject that he or she wants
An elective subject simply means an optional subject. Such subjects are not compulsory. The compulsory subjects are the core subjects.
One has a choice to the elective subjects that can be chosen in college. There are list of options that are in the study plan where one can choose an elective.
In conclusion, my hobbies are reading and playing football with my friends during leisure.
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Two customers took out loans from a bank. • henry took out a 4-year loan for $5,000 and paid 4. 2% annual simple interest. • ingrid took out a 6-year loan for $5,000 and paid 3. 9% annual simple interest. What is the difference between the amounts of interest henry and ingrid paid for their loans?.
Explanation:
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or amount taken as loan
R represents interest rate
T represents the duration of the loan in years.
Considering Henry's loan,
P = 5000
R = 4.2
T = 4 years
I = (5000 × 4.2 × 4)/100 = $840
Considering Ingrid's loan,
P = 5000
R = 3.9
T = 6 years
I = (5000 × 3.9 × 6)/100 = $1170
The difference between the amounts of interest Henry and Ingrid paid for their loans is
1170 - 840 = $330
The gulf stream and global warming reading answers pdf.
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 best describes the relationship between respiratory and circulatory system.
Answer:
The respiratory system transports oxygen to cells, while the circulatory system provides oxygen for cells.
Which main problem is being solved by the hubble space telescope?.
The Hubble Space Telescope's primary problem is option D, i.e., trying to identify the brightest stars in the galaxy.
What is a Hubble Space Telescope?The Hubble Space Telescope is a space telescope that was initiated into low Earth orbit in 1990 and is still active today.
It was not the first space telescope, but it is one of the biggest and most versatile, known for its importance as a research tool as well as a public relations boon for astronomy.
Hubble was intended to be a multi-purpose observatory capable of exploring the universe in visible, ultraviolet, and infrared wavelengths.
To date, the telescope has studied over 40,000 cosmic objects, providing views that astronomers could not obtain from the ground.
The primary challenge for the Hubble Space Telescope is identifying the brightest stars in the galaxy.
Thus, the correct option is D.
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The bottleneck effect is the loss of genetic diversity that occurs when.
Which are the functions of the respiratory system brainly.
Answer:
Your respiratory system is the network of organs and tissues that help you breathe. This system helps your body absorb oxygen from the air so your organs can work. It also cleans waste gases, such as carbon dioxide, from your blood
What is silhak? a. The most sacred of all korean instruments b. A truly korean style that emphasizes the study of things korean c. A traditional korean male hat d. The korean word for picnic.
Answer: B
Explanation:
please correct me if I am wrong
Answer:
The answer is B
Explanation:
I got it right on my test have a lovely day!
2+5(8-5) answer brainly.
Answer:
10
Explanation:
We have 2+5 which equals 7. there is a ( between 5 and 8, meaning that we need to multiply. 7 x 8 = 56 ( 8+8+8+8+8+8+8) Now we have 56-5 and that equals 51
Brainliest if im correct pls :)
How do you do this ??.?.?.?.??.??.?.?
Answer: I.D.K MAN SORRYExplanation:
You and your lab group have been asked to design an investigation to determine the effects of heat transfer between two different objects. Which of the following investigation designs explains the heat transfer when atoms directly touch?.
There are different ways for transfer of heat. investigation designs explains the heat transfer when atoms directly touch is Hands touching the handle of pan sitting on a lit Bunsen burner.
In conduction, When two objects touch, heat from the hotter object is said to be transferred to the cooler object.
Heat as a flow of energy often arise from a higher temperature object to a lower temperature object.
The temperature that exist difference between the two neighboring objects can lead heat transfer.
The heat transfer is still ongoing until the two objects have attained thermal equilibrium and are found in the same temperature.
See full question
Which of the following investigation designs explains the heat transfer when atoms directly touch?
А Boiling water, in a pan, sitting on a lit Bunsen burner.
B Boiling water, in a pan, in front of a lit Bunsen burner.
С Hands warming in front of a lit Bunsen burner.
D Hands touching the handle of pan sitting on a lit Bunsen burner
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If angle acb is 34 degrees what is the measure of angle adb.
Answer:
34 because the shape is split.
Explanation:
Which of the following best represents a plan for choosing a cardiofitness activity?.
Answer:
Either compare multiple aerobic activities and choose an activity suited for personal goals or avoid comparing aerobic activities and choose an activity suited for personal goals.
how can you help someone believe in themselves again and please explain you answer
Which of the following statements is true about the occupations available to psychologists with a doctoral degree? a. Occupations are limited to social services jobs, mid-level managers, and financial positions. B. Occupations are vast and can include positions in universities, health care, and private industry. C. Occupations are confined to clinical and counseling positions in hospitals, schools, and prisons. D. Occupations are immense but competitive, so psychologists usually work in accounting.
Answer:
b
Explanation:
the answer is b ,
Occupations are vast and can include positions in universities, health care, and private industry
Answer:
its B
Explanation:
trust me
English nobles resisted peasant demands such as those described in the passage because agricultural labor in many parts of fourteenth-century afro-eurasia had become scarce as a result of which of the following developments?.
Answer: Significant increase in mortality due to the spread of epidemic diseases.
Explanation:
During the 14th century, many parts of Europe and Asia were completely ravaged by an epidemic plague called The Black Death. It was a form of bubonic plague caused by rats infected by bacteria.
More than half of the population of Europe was killed due to his plague, which immediately creates a shortage of labor. Shortage of labor, including agricultural ones, immediately meant that the living ones would receive a higher wage, to the consternation of the landowners who pushes for legislation that would return the status quo to how it was prior to the Black Death. This enrages the peasants who worked for them; manifesting in several revolts from May to November 1380.
The university is on a bearing of 050 degrees.
Angles for bearings are usually drawn, reading from the north direction.
A sketch of the described bearings and locations of the stadium, university and the hospital is presented in the attached image to this question.
Given the function f(x) = 0. 5|x – 4| – 3, for what values of x is f(x) = 7?.
Answer: hello mister, i am here today to give you the greatest answer you have ever seen in the history of answers. The answer to this question is I do not fudging know!!! go back to elementary where this math belongs. I am a former Military General and even I know this stuff and even I know this stuff.
Explanation:
Which of the following best describes how carbon cycles through earth's systems.
Answer:
The carbon cycle describes the process in which carbon atoms continually travel from the atmosphere to the Earth and then back into the atmosphere