Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded.

Maximize p=x+ysubject to

x+3y≤4

3x+y≤4

x≤0

y≤0

Answers

Answer 1

Answer:

P = 4

Step-by-step explanation:

The LP is:

Maximize p = x+y

x+3y≤4

3x+y≤4

x ≥ 0

y ≥ 0

Solving graphically using the geogebra graphing calculator which is attached, the points are A(0, 4), B(0, 1.33), C(1.33, 0), D(4, 0) and E(1, 1)

The maximum objective is:

For point A(0, 4):  Maximize p = x + y = 0 + 4 = 4

For point B(0, 1.33):  Maximize p = x + y = 0 + 1.33 = 1.33

For point C(1.33, 0):  Maximize p = x + y = 1.33 + 0 = 1.33

For point D(4, 0):  Maximize p = x + y = 4 + 0 = 4

For point E(1, 1):  Maximize p = x + y = 1 + 1 = 2

Hence, the maximum point is at A(0, 4) which gives P = 4

Solve The LP Problem. If No Optimal Solution Exists, Indicate Whether The Feasible Region Is Empty Or

Related Questions

cual es el valor absoluto de -|-42|​

Answers

Answer:

-42

Step-by-step explanation:

Convert 4/6 to a decimal. (Round to the hundredths place)

Answers

Answer:

_

0.6

please give brainlist

hope this helped

The New Jersey Division of Fish and Wildlife keeps track of the beaver population in the Raritan River. They tagged 42 beavers and released them. A week later, they captured 54 beavers, including 14 tagged beavers. What is a good estimate of the beaver population in the Raritan River? There are approximately beavers in the Raritan River. ​

Answers

Answer:ratio is 14:54 = 42:B. Beavers = 162

Step-by-step explanation:

The ratio demonstrates how often one number is multiplied by another.

The approximate number of beavers exists 162.

What is meant by ratio?

The ratio demonstrates how often one number is multiplied by another. When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage.

The relationship or comparison between two numbers in the same unit to determine how much larger one number is than the other is known as a ratio.

The 42 beavers were tagged and released by the New Jersey Division of Fish and Wildlife, which monitors the beaver population in the Raritan River. After a week, they had captured 54 beavers, 14 of which were marked. There are 54 Beavers in all, and 14 Beavers have tags.

Let the ratio be 14 : 54.

As 42 tagged beavers were released.

simplifying the above equation, we get

14 × 3 : 54 × 3

= 42 : 162

Therefore, the approximate number of beavers exists 162.

To learn more about ratio, refer to:

brainly.com/question/27817533

#SPJ2

Avas credit card balance is $64 if she makes a $25 payment then charges $79 find the balance of the card.

Answers

Answer:

6000 - 2500 = 3500

Ahora 3500 - 500 = 3000

ENTONSES la respuesta es 3000

Step-by-step explanation:

when a number is divided by 7, the quotient is 8 and leaves 2 remainder. what is the number?​

Answers

Answer:

58............will be the number

All right angles are congruent. Converse Inverse: Contrapositive

Answers

Answer:

No not all right angles are congruent.

Step-by-step explanation:

1/2 - 1/8

Answers should be in format 5/2 or 2/5. No decimals or mixed numbers

Answers

Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

[tex]1/2 - 1/8\\\frac{1}{2}-\frac{1}{8}\\\\\mathrm{Least\:Common\:Multiplier\:of\:}2,\:8:\quad 8\\\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\\frac{1}{2}=\frac{1\times\:4}{2\times\:4}=\frac{4}{8}\\\\=\frac{4}{8}-\frac{1}{8}\\\\=\frac{4-1}{8}\\\\=\frac{3}{8}[/tex]


Given the function f(x) = -5|x + 1|
+ 3, for what values of x is f(x) = -12?

Answers

Answer:

2 and -4

Step-by-step explanation:

-5|x + 1| + 3 = -12

-5|x + 1| = -15

|x + 1| = 3

x + 1 = 3    /      x + 1 = -3

x₁ = 2        /      x₂ = -4

Please help! I am confused and cannot get the correct answer.

Answers

Answer:

520

Step-by-step explanation:

I used big brain

-

Please please please do all questions in the photo will give brainlest

Answers

1.) 403.97
2.)36
3.)8

1.)20
2.) 5/14
3.) 15.6

Answer: 1.    

               2. = 12

        3 on the left        = 8

         3 on the right     = 15

        1 on the right      =  20

         2 on the right     =   21/98

Step-by-step explanation:

Kira bought 6 bags of popcorn for 15.36 how much would he pay for 4 bags

Answers

11.36 would be the answer

The total weight of a rock depends on its size and is proportional to its density. In this context, density is the weight per cubic inch. Let w denote the weight of the rock in pounds, s the size of the rock in cubic inches, and d the density of the rock in pounds per cubic inch. If a 48-cubic-inch rock weighs w pounds, write an equation that shows the proportional relation.

Answers

Answer:

[tex]d = \frac{w}{48}[/tex]

If  [tex]\frac{1}{48} \\[/tex] is constant, say k

Then,

[tex]d = kw[/tex]

∴ d ∝ w

Hence, weight is proportional to the density

Step-by-step explanation:

From the question,

Let w denote the weight of the rock in pounds

s denote the size of the rock in cubic inches and

d denote the density of the rock in pounds per cubic inch.

First, we will write the equation connecting w, s, and d.

We get

[tex]density (pounds/inch^{3} ) = \frac{weight(pounds)}{size (inch^{3}) }[/tex]

That is,

[tex]d = \frac{w}{s}[/tex]

Now, given a 48-cubic-inch rock with weight w pounds, to show the proportional relation between the weight and the density, we will write

[tex]d = \frac{w}{48}[/tex]

If  [tex]\frac{1}{48} \\[/tex] is constant, say k

Then,

[tex]d = kw[/tex]

∴ d ∝ w

Hence, density is proportional to the weight OR weight is proportional to the density

Subtract -3 – (-7). who will be first to answer....

Answers

Answer:

Its 4

Step-by-step explanation:

Because it is

Answer:

4

Step-by-step explanation:

1) First, distribute the negative sign to the -7. Because of this, the -7 will become a positive 7.

Equation: -3+7

2) Next, whenever there are two different signs, we are supposed to subtract the bigger number (7) with the smaller number (3).

Equation: 7-3=4

3) Finally, assign the greatest number sign. in this case, 7 is the greater number, and the 7 is a positive number; therefore, it will be a positive 4.

Hope this helps!

Need help with som math

Answers

Answer:

60

Step-by-step explanation:

3(3)²-2³-2³-5

81-8-8-5

81-16-5

81-21

60

your answer would be sixty

The definition of a circle uses the underfined term

Arc.
Line.
Plane
Ray

Answers

Arc because a circle is round
Arc because the circle is round

a man steals 500naira from a shop,then bought an items worth 200naira collect 300naira change.how much does the shop keeper lose?​

Answers

Aaaaaaaaaaaaaasssssssssssssssuiiiiiiiiiiiiiyyyyyyyyyyyyyyaaaaaaaaaaaaxrgcghgg%%%%%%%

Move the horizontal and vertical sliders some more to stretch the image of the triangle. As you move the
sliders, observe what happens to the interior angles of each triangle. Based on your observations, can you say
that stretches preserve angle measurements?

Answers

Answer:

No, stretches do not preserve angle measurements. A stretch in either the horizontal or the vertical direction changes the interior angles.

Step-by-step explanation:

PLATO

Mark me brainliest plz :))

Answer:

No, stretches do not preserve angle measurements. A stretch in either the horizontal or the vertical direction changes the interior angles.

Step-by-step explanation:

Put these numbers in order from least to greatest.
-36/40 , 3/5 , -12/24 , 1.

Answers

-36/40, -12/24, 1, 3/5

Scenario:You are a Geographic Information System (GIS) specialist who normally works at the Public Works Planning office.You are directed to report to the Incident Command Post (ICP) and have been assigned to the Planning Section Chief and will report to the Chief.You will be producing maps to display potential flooding impacts in the city and county.What NIMS Management Characteristics are you supporting? Select the two characteristics that apply.a. Integrated Communicationsb. Establishment and Transfer of Commandc. Chain of Command and Unity of Commandd. Accountabilitye. Dispatch/Deploymentf. Information and Intelligence Management

Answers

Answer: Chain of Command and Unity of Command ; Information and Intelligence Management

Step-by-step explanation:

Chain of Command typically loooks into an organization's hierarchical structure while unity of commands simply has to do with the reporting to ones designated supervisor.

Also, because maps are being produced, there'll be with the gathering, assessing, analyzing, sharing, and managing intelligence.

Therefore, the NIMS Management Characteristics that'll be supported are Chain of Command and Unity of Command ; Information and Intelligence Management.

The NIMS management characteristics that are mostly supported are:

A chain of Command is a unity of command.information and intelligence management.

The chain of command and unity of command is an overall hierarchy of the orpganization, while the unity of command says that the entire chain is always reporting to the similarly designated supervisor.

The information and intelligent management help the owner to take according to decisions forward premises of the information system.

As per the GIS when the maps have the process for the information would be gathering the information, assessing it, analyzing it, sharing the information to the delegated conducting the field, and then managing the intelligence of the information.

Thus, the NIS characteristics are chain and unity of command, and information and intelligence management.

To know more about geographic information system, refer to the link:

https://brainly.com/question/7551618

Today, 8 friends went out for lunch. Their total bill was $43.53, including tax and gratuity. One of them ordered only soda and needed to pay only $1.74. The
other 7 friends ordered the same daily special. How much did each of the other friends need to pay?

Answers

Answer:

5.97

Step-by-step explanation:

If one of them only ordered soda which costs $1.74 then you do 43.53 - 1.74 =41.79. Then do 41.79 divided by the other 7 people. 41.79 divided by 7 gets you the answer $5.97

simplify 4-8÷2+3

please help

Answers

Answer:

4-8÷2+3=3

Step-by-step explanation:

Divide the numbers: 8/2=4

return to the problem: 4-4+3=3

Answer: 3

Answer:

it is 1

Step-by-step explanation:

because 4-8=-4\2=-2+3=1

10 is 8% of a, and 5 is 4% of b. c equals b/a. What is the value of c?

Answers

Answer:

21

Step-by-step explanation:

A = 125
B = 125

B/A = 125/125
B/A= 1

C = 1

If you decide to study 4 hours more a week during your junior year (32 weeks) with the expectation of getting $2,000 scholarship to college how much is your study time worth per hour

Answers

Answer: You will get $2,000 for 128 hour, or 2,000/128 = $15.625 per hour study time.

Step-by-step explanation:

We will give the solution of the following problem:

"If you decided to study for four hours a week during your junior year (32 weeks) with the expectation of getting a $2,000 scholarship to college, how much is your study time worth per hour?"

In 32 weeks you will have total of 4*32 = 128 study hours.

You will get $2,000 for 128 hour, or 2,000/128 = $15.625 per hour study time.

Please help solve for y.

Answers

Answer:

90

Step-by-step explanation:

I need to find the measurement of AEB please help me!

Answers

Triangle BEC is an isosceles triangle.

The angles opposite the congruent sides are equal

x = measure of missing angle

180 = 54 + 2x

Subtract 54 from both sides

126 = 2x

Divide both sides by 2

63 = x

angle EBC and angle C = 63 degrees

Angle EBC and angle EBA are supplementary.

This means they add up to 180 degrees

180 = 63 + EBA

Subtract 63 from both sides

117 = EBA

the measure of a triangle = 180

Therefore,

The measure of angle AEB = 180 - (40 + 117) = 23 degrees

Answer:

104

Step-by-step explanation:

LaVilla is a village in the Italian Alps. Given its enormous popularity among Swiss, German, Austrian, and Italian skiers, all of its beds are always booked in the winter season, and there are, on average, 1465 skiers in the village. On average, skiers stay in LaVilla for 11 days. How many new skiers are arriving - on average - in LaVilla every day

Answers

Answer:

There are approximately 133 new skiers arriving every day

Step-by-step explanation:

Total number of skiers = 1465

time of stay for skiers = 11 days

How many new skiers are arriving on average = ???

To keep the average number of skiers available at each time constant, the number of skiers coming in and going out are fairly constant, and this is gotten by using the flow rate formula.

flow rate = amount available  ÷ flow time

flow rate = 1465 ÷ 11

flow rate = 133.18

flow rate = 133

∴ There are approximately 133 new skiers arriving every day

Evaluate: 64 ^1/3

A) 3
B) 4
C) 6
D) 8

Answers

Answer:

(B) 4

Step-by-step explanation:

[tex]64 ^\frac{1}{3} \\\\\mathrm{Factor\:the\:number:\:}\:64=4^3\\\\=\left(4^3\right)^{\frac{1}{3}}\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0\\\\\left(4^3\right)^{\frac{1}{3}}=4^{3\times\frac{1}{3}}\\\\3\times\frac{1}{3}=1\\\\=4^1\\\\=4[/tex]

[tex]\text{Hey there!}[/tex]

[tex]\bf{(64)^ {\dfrac{1}{3}}}[/tex]

[tex]= \bf{\sqrt[3]{64^1} }[/tex]

[tex]\bf{\sqrt{64^1} \ \rightarrow 64}[/tex]

[tex]\sqrt[3]{64}[/tex]

[tex]\sqrt{64}= 8[/tex]

[tex]\bf{We\ solve\ half\ of\ 8 \ by\ dividing\ 8\ from\ 2 \ like: \dfrac{8}{2}}[/tex]

[tex]\bf{\dfrac{8\div2}{2\div2} = \dfrac{4}{1} = 4 }[/tex]

[tex]\bf{Thus, \ your\ answer\ is: \boxed{\bf{B. \ 4}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

solve this question

Answers

Answer: a=56/15

Step-by-step explanation:

For this problems, it is important ot know how to read ratios. They can be read as fractions. Knowing this, we would use proportions to solve.

[tex]\frac{3a}{7} =\frac{8}{5}[/tex]                      [cross multiply]

[tex]15a=56[/tex]                  [divide both sides by 15]

[tex]a=\frac{56}{15}[/tex]

Now, we know that a=56/15.

Answer:

3 11/15

Step-by-step explanation:

3a : 7 : : 8 : 5

= 3a/7 = 8/5

=15a = 56

= 56/15 = 3 11/15

What are the minimum and maximum values of x, for which x3 + x2 – 6x ≥ 0? minimum = –3, maximum = 0 minimum = 0, maximum = 2 minimum = –3, no maximum minimum = 2, no maximum Please answer quickly

Answers

Answer: Option C.

Step-by-step explanation:

The given inequality is

[tex]x^3+x^2-6x\geq 0[/tex]

Taking x common, we get

[tex]x(x^2+x-6)\geq 0[/tex]

Splitting the middle term, we get

[tex]x(x^2+3x-2x-6)\geq 0[/tex]

[tex]x(x(x+3)-2(x+3))\geq 0[/tex]

[tex]x(x+3)(x-2)\geq 0[/tex]

Related equation is

[tex]x(x+3)(x-2)=0[/tex]

[tex]x=-3,0,2[/tex]

These three points divide the number line in 4 parts.

Interval       Sign of [tex]x(x+3)(x-2)\geq 0[/tex]      Statement

(-∞,-3)              [tex](-)(-)(-)=(-)[/tex]                           False      

(-3,0)              [tex](-)(+)(-)=(+)[/tex]                            True  

(0,2)              [tex](+)(+)(-)=(-)[/tex]                              False      

(2,∞)              [tex](+)(+)(+)=(+)[/tex]                              True  

So, the solution set is (-3,0) ∪ (2,∞).

Thus, minimum value is –3 and no maximum value.

Therefore, the correct option is C.

Answer:

minimum = –3, no maximum

Step-by-step explanation:

The other guy here was completely correct, but just in case it assures anyone's doubts:

Ben drank 1/5 pitcher of lemonade. Tonya drank 1/2 of the lemonade. How much lemonade did they drink together?

Answers

Answer:

7/10ths of the picture has been digested.

Step-by-step explanation:

Let's divide this into tenths.

One fifth out of ten is equal to two, since 10/5 = 2. A half of ten is five, because 10/2 = 5. Adding five and two together gives us 7/10ths, which can not be reduced to a smaller amount.

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