Maximize the objective function p = 5x + 3y for the given constraints. X ≥ 0 y ≥ 0 3x + 6y ≤ 48 2x + 8y ≤ 56.
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.
A __________ score allows a researcher to compare scores across different scales. A. Raw b. Distributed c. Standard d. Deviated please select the best answer from the choices provided a b c d.
Answer:
A standard score allows a researcher to compare scores across different scales.
Explanation:
[tex]~\large{\mathfrak{꧁HeavenMistress꧂}}[/tex]
What is the name of the computer program used for file and process management in the linux system?.
Answer: Command Prompt
Explanation:
A piece of equipment costs $30,000, and is expected to generate $8,500 of annual cash revenues and $1,500 of annual cash expenses. The disposal value at the end of the estimated 10-year life is $3,000. Ignoring income taxes, the payback period is:.
Answer:
C. 4.29 years
Explanation:
The computation of the payback period is shown below:
Payback period = Initial investment of the equipment ÷ Cash flows
where,
Initial investment = $30,000
And, the cash flows is
= $8,500 - $1,500
= $7,000
So the payback period is
= $30,000 ÷ $7,000
= 4.29 years
By dividing the initial investment by the cash flows we can get the payback period and the same is applied above.
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Which best describes how the human circulatory and respiratory systems interact.
Answer:
The respiratory system provides oxygen for cells, while the circulatory system transports oxygen to cells. C. The respiratory system breaks down food for cell energy, while the circulatory system rids the body of waste.
Disk scheduling algorithms in operating systems consider only seek distances because.
What has the smallest effect on the rate of photosynthesis.
Answer:
Light intensity
Without enough light, a plant cannot photosynthesise very quickly - even if there is plenty of water and carbon dioxide and a suitable temperature. Increasing the light intensity increases the rate of photosynthesis, until some other factor - a limiting factor - becomes in short supply.
The smallest effect on the rate of photosynthesis is typically the availability of carbon dioxide (CO2).
Photosynthesis is the process by which plants convert sunlight, water, and carbon dioxide into glucose (a type of sugar) and oxygen.
Other factors that can influence the rate of photosynthesis to a greater extent than carbon dioxide include:
Light intensity: The rate of photosynthesis increases with higher light intensity, up to a certain point. Beyond that point, called the saturation point, increasing light intensity does not further increase the rate of photosynthesis.
Temperature: Photosynthesis is a temperature-dependent process. Within an optimal temperature range, the rate of photosynthesis increases with higher temperatures.
Water is essential for photosynthesis as it provides the medium for chemical reactions to occur. Inadequate water availability can lead to a decrease in photosynthesis.
Therefore, while all the factors mentioned (light intensity, temperature, water availability) can significantly impact the rate of photosynthesis, the availability of carbon dioxide generally has the smallest effect.
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Which applicants would be best suited for which jobs based on educational and training?.
Mona is best suited for the job which is Stationary Engineer Because She have experience as a Pump operator, she is best suited for system operator and also power distributor.
All these are the works of a Stationary Engineer.
Who is a Stationary Engineer?A Stationary Engineer is a person who is trained to operate, repair and maintain Boiler, pumps and heat pumps.
Therefore,Mona is best suited for the job which is Stationary Engineer Because She posses relevant skills and experience as Pump operator, system operator and also power distributor.
The question is incomplete but the options was gotten from brainly website.
Here are the options.
Boris is best suited to be an Electrician, Jody is best suited to be a Hydroelectric Production Manager, Mona is best suited to be a Power Dispatcher, and Boyd is best suited to be a Pipefitter. Boris is best suited to be a Petroleum Engineer, Jody is best suited to be a Meter Reader, Mona is best suited to be a Pump Operator, and Boyd is best suited to be a Stationary Engineer. Boris is best suited to be a Surveyor, Jody is best suited to be an Electrical Power-Line Installer, Mona is best suited to be a Systems Operator, and Boyd is best suited to be a Boiler Operator. Boris is best suited to be a Power Distributor, Jody is best suited to be a Petroleum Engineer, Mona is best suited to be a Power Distributor, and Boyd is best suited to be a Geothermal Technician.
There is no verified link for verified answer on Stationary Engineer on brainly.
Answer:
Im gonna say A
Im very very sorry if Im incorrect
anyway
AVOCADOS FROM MEXICO
Explanation:
You have been injured in the laboratory (cut, burned, etc.). First you should
Answer: tell a teacher or go to school nurse or call a parent.
Explanation:
The formula for electrical power is. Which is the equivalent equation solved for i?.
Answer:
p/v=I
Explanation:
Sorry I’m so late
What type of matter and energy make up the geosphere?.
Answer:
rocks and minerals make up geosphere
Explanation:
Answer:
rocks and minerals
Explanation:
geo means earth ..earths geosphere is a portion of earth that includes rocks and minerals.it starts at the ground and extends all the way diwn to earth's core
Which process uses energy to combine inorganic molecules.
the process uses energy to combine inorganic molecules with synthesize moleculrs
Even at moderate temperatures, attractions between molecules seem to have little effect on the elasticity of gas-gas collisions because.
Attractions have little effect on the elasticity of gas-gas collisions because they are brief and fast. These particle collisions exhibit insufficient time to significantly affect the entire system.
The Kinetic Molecular Theory (KMT) is a model used in order to describe the behavior of gases by understanding the behavior of an ideal gas.
According to this theory, collisions between particles of gases are elastic, and therefore the kinetic energy is conserved when they collide.
An elastic collision can be defined as a type of collision between two particles in which the total kinetic energy remains the same.
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Which change will decrease the electric force between two positively charged objects?.
Where can you find your state specific lottery information.
Answer:
lottery district offices
Explanation:
Lottery district offices can be found your state specific lottery information.
What is a definition of lottery?A lottery is a low-odds process or game of chance in which winners are chosen at random. Lotteries can be utilized in decision-making circumstances, such as the distribution of scarce medical care and the selection of sports teams.
With a set of numbers, the lottery game is played in finance. Either manually or automatically, the numbers are selected at random. The picked numbers are intended to win prizes. The prize money may be awarded to the winner as a flat sum or in installments. In general, prize winners prefer receiving a lump sum of money.
The Dutch noun "lot," which means "fate," is where the English word "lottery" originates. The Golden Ambrosian Republic launched the first known Italian lottery on January 9, 1449, in Milan to raise money.
Thus, Lottery district offices.
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The new clients are not responding to our product the way we had hoped. - frankly, i’m hardly with last month’s sales.
Based on the information given, it can be noted that the word that will accurately fit into the sentence will be "beside myself".
Based on the complete information, it should be noted that one cannot use cloud nine, over the moon, or down in the dumps as they do not fit accurately into the sentence.
Therefore, the correct sentence will be that the new clients are not responding to our product the way we had hoped. Frankly, i’m hardly beside myself with last month’s sales.
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According to the collision theory, what are two of the conditions that are needed for a reaction to occur?.
Answer:
molecules must collide with sufficient energy know as activation energy so that the chemical bonds would break
1.Jun _______ France for 4 months.
A. have learnt
B. learnt
C. learns
D. has learnt
Answer:
has learnt
Explanation:
i think France is supposed to be French
The graph of y=f(x) is shown above. Which of the following could be the graph of y=f′′(x)?.
The true statement about the graph of f(x) is [tex]f(x) = \frac 35x + 3[/tex]
The graph of f(x) is a straight line that passes through the points (-5,0) and (0,3).
Start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{3-0}{0--5}[/tex]
Simplify
[tex]m = \frac{3}{5}[/tex]
The equation of the line is then calculated as:
[tex]y = m(x -x_1) + y_1[/tex]
This gives
[tex]y = \frac 35(x -0) + 3[/tex]
Open bracket
[tex]y = \frac 35x + 3[/tex]
Express y as a function of x
[tex]f(x) = \frac 35x + 3[/tex]
Hence, the true statement about the graph of f(x) is [tex]f(x) = \frac 35x + 3[/tex]
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Hebrews begins by asserting that jesus is greater than.
Which of the following statements is true regarding this data set: 41, 13, 17, 10, 5, 19?.
Answer:
this question is meaningless because Where the choice
True/false: bolsa thinks they should go to the zoo. True false.
Answer:
True
Explanation:
The given statement is true that bolsa thinks they should go to the zoo, from the story Sancho and Bolsa.
Who is Bolsa in the story?Bolsa was a cartel founding member and close ally of Don Eladio and Hector Salamanca. His brother is the chief of police. He is a high-ranking member of The Cartel, having co-founded it with his boss Don Eladio and Hector Salamanca.
Juan Bolsa is a high-ranking member and co-founder of the Salamanca Cartel, which includes the Salamanca family and Gustavo Fring.
He also worked for a time with drug lord Gustavo Fring before the latter betrayed him and had him killed. Juan Bolsa, a Cartel major lieutenant, hired them to steal Lalo Salamanca's bail money, which totalled $7 million.
Therefore, the given statement is true, that the bolsa believes they should go to the zoo.
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Which statements are true descriptions of earth's interior layers? select the two correct answers.
Answer:
2 AND 6
Explanation:
What factors would have the least effect on a region’s climate?.
Answer:
Longitude and Population Density
Explanation:
Longitude
Longitude won't have much effect because it is just across the earth in E to W. (east to west). While, Latitude will affect the Earth because there is something called a Equator, which is USUALLY hot, and the Polar zones, which are mostly Cold.
Population Density
Population Density won't affect much because the amount of carbon dioxide a person produces is pretty less. But yeah, the factories make a lot of more Carbon Dioxide so that is why they will be producing more than the people. But people can't produce so much to warm up their environment.
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Which is the correct way to write the underlined portion of the following sentence? the students hoped to quickly finish the test so they would be able to work cooperatively on their projects.
All of the following are characteristics of the blue crab except.
Answer:
A. Blue Crab Doesn't Hav Teeth
B.
If a recessive allele helps an organism reproduce but a dominant allele hinders reproduction, which will become more prominent over time?.
It is expected the recessive allele becomes more prominent over time.
In general, nature favors traits that help organisms survive and reproduce. This occurs through a process known as natural selection that helps the population to evolve to have favorable traits.
This evolution occurs externally as organisms change their physical traits or phenotype, but also at a genetic level.
This implies that even if a trait is genetically dominant if the trait does not favor survival and reproduction, this trait will slowly disappear or reduce over generations.
Based on this, the recessive allele will become more prominent because this trait favors reproduction, while the dominant allele will become less prominent.
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What is the chemical formula for iron(ii) hydroxide? femc033-1. Jpgoh fe(oh)mc033-2. Jpg feohmc033-3. Jpg feoh.
Answer:
B
Explanation:
took the test.
Madame pouchets home is called.
Answer:
Villa of Green Happiness.
Explanation:
Wolves have genes that give them a very powerful.
This is true. Wolves have a sense of smell that is much more powerful than humans.
