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.
What is the approximate tangential speed of an object orbiting earth with a radius of 1. 8 × 108 m and a period of 2. 2 × 104 s? 7. 7 × 10–4 m/s 5. 1 × 104 m/s 7. 7 × 104 m/s 5. 1 × 105 m/s.
Answer: the period is 2.2 x 104 s, then the rotational speed is:
1 / 2.2x104 = 4.55x10-5 rad/s
We can solve for the tangential speed using the formula:
v = ωr
where ω is the rotational speed
v is the linear or tangential speed
r is the radius
So,
v = 4.55x10-5(1.8x108)
v = 5.1 x 104 m/s
Explanation:
The approximate tangential speed of an object orbiting earth with a radius of 1. 8 × 108 m is 5.1 x 104 m/s.
What is tangential speed?Any item moving along a circular path has a linear component to its speed called tangential velocity.
An object's velocity is always pointed tangentially when it travels in a circle at a distance r from the center. Tangential velocity is the name given to this.
The period is 2.2 x 104 s, then the rotational speed is:
1 / 2.2 x 104 = 4.55 x 10⁻⁵ rad/s
We can solve for the tangential speed using the formula:
v = ωr
where ω is the rotational speed
v is the linear or tangential speed
r is the radius
So,
v = 4.55 x 10⁻⁵ (1.8 x 108)
v = 5.1 x 104 m/s
Therefore, the tangential velocity is 5.1 x 104 m/s.
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The cost of 8 pens is $2. 50. How much will 2 dozen cost?.
Answer:
$ 7.5
Explanation:
1. Common way:
if one pen costs $ x
8x=2.5
x=0.3125
2 dozen = 24
24*0.3125=7.5
2. shortcut:
2 dozen = 24 = 3 times of 8
because 8 pens cost $2.5, 2 dozen pens cost 3 times of $2.5, thus, $7.5
James bennett also allocates wealth between youth and old age. He has no cash currently (in his youth), but will inherit $3000 in his old age. He can lend and borrow at the bank at 18% (that is, lending $1 in youth will give him $1. 18 in old age). He has an investment opportunity that costs $12,000 now in his youth and has a payoff of $15,000 in his old age. This is the only investment opportunity available to him. What is the most he can consume in his youth?.
The present value (PV) of $15,254.24 is the most James bennett can consume in his youth.
Given the following data:
Inheritance = $3000Interest rate = 18%Investment opportunity (youth) = $12,000Investment opportunity (old age) = $15,000To calculate the most James bennett can consume in his youth:
First of all, we would determine the future value of James bennett from his investment and inheritance as follows:
[tex]FV = 15000 + 3000[/tex]
FV = $18000
Mathematically, the most James bennett can consume in his youth is given by this formula:
[tex]PV = \frac{FV}{(1+i)^n}[/tex]
Substituting the given parameters into the formula, we have;
[tex]PV = \frac{18000}{(1+0.18)^1}\\\\PV = \frac{18000}{1.18}[/tex]
PV = $15,254.24
Therefore, the present value (PV) of $15,254.24 is the most James bennett can consume in his youth.
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Which of the following is not a characteristics of african music.
Answer:
A vast number of dances
Explanation:
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What contributed to poor working conditions for factory workers in the late 1800s? choose three answers.
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?.
In the sale of a business, if the requirements of the uniform commercial code are not followed, who would most likely suffer the greatest injury?.
If the requirements of the uniform commercial code (UCC) are not followed, then the BUYER would most likely suffer the greatest injury. A buyer is an individual who buys something.
The Uniform Commercial Code (UCC) is a set of regulations that govern commercial transactions in the USA.
This code (UCC) was first published in 1952 after approval from the American Law Institute.
The major goal of the UCC is the improvement of the principles that govern commercial transactions in the USA.
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What impact does the word "nomad," as used in the following sentence, have on the overall meaning of the text? "i knew i would never again fully be a part of my reservation. I knew i was going to be a nomad. ".
Answer:the answer is "it demonstrates that the narrator no longer feels a sense of belonging, or at home, on the reservation."
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
Jim and sue were going to be married and were very much in love. Before the wedding date, they went out for coffee and orally agreed to how the marital assets would be split if they divorced. Four years later they divorced. Jim attempted to enforce their oral prenuptial agreement. What will be the result?.
Answer:Before the wedding date, they went out for coffee and orally agreed to how the marital assets would be split if they divorced. Four years later they divorced.
Explanation:
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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All of the following are characteristics of the blue crab except.
Answer:
A. Blue Crab Doesn't Hav Teeth
B.
List down all the foods and drinks.
The list of foods we have for breakfast are:
Milk, bread, eggs, corn, and fruits.Food is any substance we put in our mouth that is edible, digestible, and nourishes the body to make us grow.
Drinks are food substances in form of liquid that is ingested for the purposes of facilitating digestion and replenishing the lost water from the body.
Breakfasts are foods and drinks we eat in the morning and examples of them are:
Milk, bread, eggs, corn, and fruits.Learn more about Food substances here:
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The seasonal product team needs a vendor who can quickly adjust to changes in product demand. The planning team has sent over a table comparing how the four available vendors have been performing. Can you identify which vendor to recommend?.
There are different kinds of vendors. The best that I can identify and recommend is Vendor V in the diagram attached.
The seasonal product team should consider taking or using Vendor V. This is because of their performance. When you look at the diagram, you will see that their performance is better in all parameter given in the table (Diagram attached).
Vendor V is in all parameters improving the performance of all the four elements and it can easily adjust to any seasonal changes.
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Which of the following describes a neutral atom of oxygen.
Answer: You don give any of the options but an atom of oxygen can be written as O
Explanation:
Bro edge is so broken
Answer:
okay???????
Explanation:
...................
Answer:
how i did it do that thats not fair id did that to me to
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.
I Hope This Helps You :)
What is the name of the computer program used for file and process management in the linux system?.
Answer: Command Prompt
Explanation:
How does your power output in climbing the stairs compared to the power output of a 100 watt.
Answer:
the power output is the amount of gravitational potential energy being carried out by releasing electricity
If angle acb is 34 degrees what is the measure of angle adb.
Answer:
34 because the shape is split.
Explanation:
Jordan has a jar of quarters. When he has 60 quarters in the jar, the jar weighs 52 ounces. When there are 125 quarters in the jar, the jar weighs 65 ounces. What is the weight of the empty jar? 39 ounces 40 ounces 44 ounces 60 ounces.
Answer:
40
Explanation:
X=quarters
Y=weight if empty jar
Y+125X=65
Y+60X=52
subracting the equations you get
65X=13/65=1/5
Y+25=65
Y=40
Answer:
40
Explanation:
just took the test and got a hundred :)
Consider the triangle shown. Which shows the sides in order from longest to shortest?.
When you stifle a sneeze, you can damage delicate tissues because the pressure of the air that is not allowed to escape may rise by up to 45 kpa.
so if i keep holding in my sneezes could i die
How do you do this ??.?.?.?.??.??.?.?
Answer: I.D.K MAN SORRYExplanation:
Identify the reference angle es001-1. Jpg for each given angle, es001-2. Jpg. Es001-3. Jpg degrees. Es002-1. Jpg degrees. Es003-1. Jpg degrees. Es004-1. Jpg degrees.
The reference angle is the smallest angle between the terminal side and the x-axis.
[tex](1)\ \theta = 300^o[/tex]
300 degrees is in the 4th quadrant.
So, the reference angle is
[tex]\alpha = 360 - \theta[/tex]
[tex]\alpha = 360 - 300[/tex]
[tex]\alpha = 60^o[/tex]
Hence, the reference angle of 300 degrees is 60 degrees
[tex](2)\ \theta = 225^o[/tex]
225 degrees is in the 3rd quadrant.
So, the reference angle is
[tex]\alpha = \theta - 180[/tex]
[tex]\alpha = 225 - 180[/tex]
[tex]\alpha = 45^o[/tex]
Hence, the reference angle of 225 degrees is 45 degrees
[tex](3)\ \theta = 480^o[/tex]
480 degrees is in the 2nd quadrant (i.e. 480 - 360 = 120)
So, the reference angle is
[tex]\alpha = 180 - \theta[/tex]
[tex]\alpha = 180 - 120[/tex]
[tex]\alpha = 60^o[/tex]
Hence, the reference angle of 480 degrees is 60 degrees
[tex](2)\ \theta = -210^o[/tex]
-210 degrees is in the 2nd quadrant (i.e. 360 - 210 = 150)
So, the reference angle is
[tex]\alpha = 180 - \theta[/tex]
[tex]\alpha = 180 - 150[/tex]
[tex]\alpha = 30^o[/tex]
Hence, the reference angle of -210 degrees is 30 degrees
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Answer:
i
Explanation:
the second one is -1
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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Even though the process is endothermic, snow can sublime. Which tendency in nature accounts for this phase change?.
Answer:
Explanation:
.
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.
A group of campers walked at a speed of 4. 5 mph from their campsite to a rest area. Their return trip to the campsite took 15 minutes longer because their speed was only 4 mph. What is the distance between the campsite and the rest area?.
The distance between the campsite and the rest area is 9 miles.
The given parameters:
Initial speed of the campers, u = 4.5 mphFinal speed of the campers, v = 4 mphLet the time of motion from the campsite to rest area = t (hours)
Time for return trip = t hours + 15 mins
= (t + 0.25) hours
Let the distance between the campsite and rest area = d
d = 4.5t
d = 4(t + 0.25)
4.5t = 4(t + 0.25)
4.5t = 4t + 1
4.5t - 4t = 1
0.5t = 1
t = 2 hours
The distance between the campsite and the rest area is calculated as follows;
d = 4.5t
d = 4.5 x 2
d = 9 miles
Thus, the distance between the campsite and the rest area is 9 miles.
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