Consider the following IP problem.
Max z = 5x1+x2
s.t. − x1 + 2x2 ≤ 4
x1 − x2 ≤ 1
4x1 + x2 ≤ 12
x1,x2 ∈Z+
1. Solve graphically
2. Solve the LP relaxation of the problem graphically. Round this solution to the nearest integer solution and check whether it is feasible. Then enumerate all the rounded solutions by rounding this solution for the LP relaxation in all possible ways (i.e., by rounding each non-integer value both up and down). For each rounded solution, check for feasibility and, if feasible, calculate z. Are any of these feasible rounded solutions optimal for the IP problem?

Answers

Answer 1

Answer:

See Annex

Step-by-step explanation:

The relaxation of any Linear Programming problem, consists of eliminating the integer constraint condition, keeping the original constraint and the objective function, solving the problem as continuous variables. If in such new condition we find that optimal solution consist of integer solution we have found optimal solution already, if not we need to go ahead with the branching procedure of making variables integer above and down of the fractional values.

In this particular case ( see GeoGebra graphic solution attached changing x₁ and x₂ by x and y respectively ), and Objective Function in red we got integer solution :

z(max)  = 11

x₁  = x  = 2

x₂ = y  = 1

Consider The Following IP Problem.Max Z = 5x1+x2s.t. X1 + 2x2 4 X1 X2 1 4x1 + X2 12 X1,x2 Z+1. Solve

Related Questions

Which of the following represents a geometric sequence?
I 1/4,1/4,1/4,1/4
II 1/4,1/5,1/6,1/7
III 1/4,1,-4,16
IV 1/4,-4,1/4,-4

OOOO

A. I
B. II
C. III
D. IV
Next
Save and Exit

Answers

The answer is IV because I took the test

Answer:

A. I

Step-by-step explanation:

The other person is wrong and I took the test

Step by step explanation!

Answers

Answer:

yhe picture is blur.

Step-by-step explanation:

Rbeggbbrynththrdbdhfbffhftbtbtbybgbg

Answers

whyudgdhchebfhfhbdbc

Pleeeeeeeaaase answer quick. With explanation. Will give 40 points

Answers

Answer:

See attached

Step-by-step explanation:

Review the picture

Can someone explain how to do this

Answers

Answer:

28 x 6

Step-by-step explanation:

You times 28 with 6 snice, there are 6 sides.

28 x 6 = 168 meters

Answer: 168 meters

How many odd numbers are between 10 and 50?

Answers

Answer:

There are 20 odd numbers between 10 and 50

Step-by-step explanation:

Here are all the odd numbers! Hope this helps!

11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49

Mercedes can select from 2 types of apples and 3 types of pears. If she randomly selects 1 apple and 1 pear, how many possible choices does she have?

Answers

answer:

2,3

2,2

2,1

1,2

1,1

1,3

Those are the possible choices of selecting apples and pears.

If she randomly selects 1 apple and 1 pear then the possible choices are 6.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given that, Mercedes can select from 2 types of apples and 3 types of pears.

Mercedes randomly selects 1 apple and 1 pear.

We need to find the number of possible choices does she have.

(2,3)(2,2)(2,1),(1,2)(1,1)(1,3)

The probability of choosing 1 apple from 2 apples will be 1/2.

The probability of choosing 1 pear from 3 pears will be 1/3.

Now the probability of choosing a apple and a pear will be

1/2×1/3

1/6

Hence, If she randomly selects 1 apple and 1 pear then the possible choices are 6.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ2

Helpppppppppppppppppppp

Answers

Answer:

95°

Step-by-step explanation:

95°

They are vertical angles.

Answer:

95 degree write it fast jakakkaoaoa

53
Given that the measure of angle Xis 132º, and the measure of angle Yis 55°, find the
measure of Angle z

Answers

Is this shape a triangle????

Identify the solutions of the graph. Only put one number in each blank.
___________ ___________

Answers

Answers:  -2 and 2

Explanation:

The solutions to a graph are the same as the roots, zeros, or x intercepts. The x intercept is the location of the curve where it crosses or touches the x axis. In this case, it does so when x = -2 and x = 2.

-2 and 2 is the answer to the graph. These values are the x values plotted on your graph.

Can you help me worth 16 points if your help me all the way

Answers

Step-by-step explanation:

120=2/5t

120×5/2=t

t=600/2

t=300

hope it helps u

The most expensive type of life insurance is

O limited-payment life insurance

O term insurance

O endowment life insurance

O whole-life insurance

Answers

Whole life insurance I think

How many faces does a triangular pyramid have?

A. 3
B. 6
C. 4
D. 5

Answers

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

C. 4.

thanks hope it helps
Triangular pyramid has 4 faces. Hope it helps :)

A closet in the shape of a rectangular prism is 2 feet deep, 5 feet wide, and 7 feet tall. What is the volume of the closet in cubic feet?

Answers

Answer:

70  cm

Step-by-step explanation:

Answer:

70 cubic feet

Step-by-step explanation:

First step is to multiply the 2 feet deep by th 5 feet wide. which is also written as:

2*5=10

Next multiply 10 by the 7 feet tall. You can write this like:

10*7=70

70 cubic feet is the answer

(50 pts will mark brainliest) The perimeter of a rectangle is 48 inches. The width of the rectangle is 4 inches more than 3 times the length of the rectangle. What are the dimensions of the rectangle?

Answers

Answer:

The rectangle is 5 inches long by 19 inches wide.

Step-by-step explanation:

Let's start by listing what we know:

The perimeter of a rectangle is 48 inches.The width of the rectangle is 4 inches more than 3 times the length of the rectangle.

Let's represent the width with "w" and length with "l", and make a system of equations based on what we know.

[tex]\left \{ {{2w + 2l = 48} \atop {w = 3l + 4}} \right.[/tex]

Now, let's solve the system of equations using substitution:

[tex]2w + 2l = 48[/tex]

[tex]2 (3l + 4) + 2l = 48[/tex]

[tex]6l + 8 + 2l = 48[/tex]

[tex]8l + 8 = 48[/tex]

[tex]8l = 40[/tex]

[tex]l = 5[/tex]

The length of the rectangle is 5 inches.

Now, let's use this to solve for the width.

[tex]w = 3l + 4[/tex]

[tex]w = 3(5) + 4[/tex]

[tex]w = 15 + 4[/tex]

[tex]w = 19[/tex]

The width of the rectangle is 19 inches.

Let's check our work:

[tex]2w + 2l = 48[/tex]

[tex]2(19) + 2(5) = 48[/tex]

[tex]38 + 10 = 48[/tex]

[tex]48 = 48[/tex]

The results match, so our answer is correct.

The rectangle is 5 inches long by 19 inches wide.

i need help with these problems, thanks

Answers

1.  C

2.  A

3. B

Hope This Helped!

(Brainliest will be appreciated)

Answer:

1- distributive property

2- Subtraction.

3- -3/2

Step-by-step explanation:

1- When the given equation is given, the 4 outside the parenthesis multiplied with the variable x and number 1. This process of multiplication between a number and all the variables in parenthesis is called known as the distributive property.

2- As it was adding with 2x on the left side when it passed with Inverse Operation to the right side, its sign change to subtraction.

3- The 2 passes to the other side of the equation with Inverse Operation, therefore dividing. The -3, otherwise, as it didn't move to the other side, has no effect and remains the negative.

Which of the following could cause a 32 oz bag of chips to not weigh exactly 32 oz?

Answers

Answer:

you eat 1 chip

Step-by-step explanation:

eat 1 chip and you get 31 oz

Find the surface area of the prism.
2 in.
2 in.
6 in.

Answers

Answer:

56 m^2

Explanation: L=2, H=2, W=2, d = 6.63324958 m, TSA = 56 m^2, LSA = 48 m^2, TSA = 4 m^2, BSA = 4 m^2, V = 24 m^3

Define the following terms using your own words. (2-3 sentences only)
1. Frequency
2 Class size
3. Ogive
4. Variance
5. Range​

Answers

Answer:

Frequency: the rate at which something occurs over a particular period of time or in a given sample.Class size :Class size is the average number of students per class, calculated by dividing the number of students enrolled by the number of classes..O give :Ogive is the curve which is constructed by plotting cumulative frequency data on the graph paper, in the form of a smooth curve.Variance: The term variance refers to a statistical measurement of the spread between numbers in a data set. Range: The range, the difference between the largest value and the smallest value.

Answer the following questions by choosing whether the first situation is less, equally, or more likely to happen than the second.

PART A


The probability of a chance event is 0.32, is likely to happen when compared to 1/3

Answers

Answer:

probably g

Step-by-step explanation:

BRAINLIEST if correct

Answers

Answer: The area of rectangle U is 12.

Step-by-step explanation:

We can solve this by finding the ratio of the two rectangle lengths which are given. We see that the ratio is 2/1. Now, from here you have two options to go. The first option is dividing 48 / 8 which is 6. Now you divide 6 / 2, because 2 is the scale factor. 6 / 2 = 3. 4 * 3 = 12, giving us the area of 12. Another way to do it is since the scale factor is 2, the ratio of the areas are the scale factor squared. 48 / 2 ^ 2 = 48 / 4 = 12.

consider this data set.
18, 11, 4, 9, 2, 3, 5
which box plot displays the data shown?

Answers

Answer:

d

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

What number must be added to -9 to equal +4?

Answers

Answer:

[tex]13[/tex]

Step-by-step explanation:

let the unknown number be x

[tex]x + ( - 9) = 4 \\ x - 9 = 4 \\ x = 4 + 9 \\ x = 13[/tex]

hope this helps you.

Can I have the brainliest please?

Have a nice day!

Please look at the images below. (I will mark you as Brainliest if you are correct!)

Answers

Answer:

ima say its a that is my lucky guess im sorry if you get it wrong

What is the image point of (5,-4)(5,−4) after a translation left 4 units and down 3 units?

Answers

Answer:

(1,-7)

Step-by-step explanation:

1) (5,-4). 4 units to the left will be (1,-4)

2) (1,-4). 3 units down will be (1,-7)

(1,-7)
Is the answer
X is left/ right.
Y is up/down.

5-4 (going left decreases the x) = 1
-4-3 (going down decreases the y) = -7
Remember that two negatives when adding/subtracting stays negative.

what is the midpoint of a segment with endpoints at (-4,-8) and (8,10)

Answers

Answer: Midpoint: (2, 1)

Step-by-step explanation:

Midpoint formula: ((x1 + x2)/2 , (y1 + y2)/2)

(-4 + 8)/2 = 2

(-8 + 10)/2 = 1

Answer: (2, 1)

The ability to find a job after graduation is very important to GSU students as it is to the students at most colleges and universities. Suppose we take a poll (random sample) of 3653 students classified as Juniors and find that 3005 of them believe that they will find a job immediately after graduation. What is the 99 % confidence interval for the proportion of GSU Juniors who believe that they will, immediately, be employed after graduation. (0.812, 0.833) (0.806, 0.839) (0.81, 0.835) (0.816, 0.829)

Answers

Answer:

(0.806, 0.839)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Suppose we take a poll (random sample) of 3653 students classified as Juniors and find that 3005 of them believe that they will find a job immediately after graduation.

This means that [tex]n = 3653, \pi = \frac{3005}{3653} = 0.823[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.823 - 2.575\sqrt{\frac{0.823*0.177}{3653}} = 0.806[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.823 + 2.575\sqrt{\frac{0.823*0.177}{3653}} = 0.839[/tex]

The answer is (0.806, 0.839)

Help Please!!!!!!!!!!

Answers

Answer:

[tex]y\leq 3x-2[/tex]

Step-by-step explanation:

Pre-Test
Active
1
2
3
4
10
The quotient of (x4 + 5x - 3x – 15) and a polynomial is (x3 - 3). What is the polynomial?
x? + 5x6 - 6x4 - 30x3 + 9x + 45
x-5
x + 5
x7 + 5x + 6x4 + 30x3 + 9x + 45

Answers

Answer:

x5

Step-by-step explanation:

Answer: C.

Step-by-step explanation:

EDGE 2023

A parallelogram has an area of 316.35 square inches and a base of 18.5 inches. What is the height

Answers

Answer:

17.1

Step-by-step explanation:

h=A/b

h= 316.35/18.5

h=17.1

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