Consider the optimization problem minimize fo(x1,2) subject to 2x1 2 1 i+3221 Make a sketch of the feasible set. For each of the following objective functions, give the optimal set and the optimal value. (a) fo(x1,T2) = z1 + x2 . (b) fo(x1,x2)=-zi (c) fo(x1,x2-x1. (d) fo(x1,x2)=max(띠,T2).

Answers

Answer 1

(a) The optimal set for the objective function fo(x1, x2) = x1 + x2 is the boundary of the feasible set  (b) The optimal set for the objective function fo(x1, x2) = -z1 is the point (x1, x2) where z1 is maximized  (c) The optimal set for the objective function fo(x1, x2) = x2 - x1 is the line x2 = x1  (d) The optimal set for the objective function fo(x1, x2) = max(z1, x2) depends on the specific values of z1 and x2.

(a) The objective function fo(x1, x2) = x1 + x2 represents a linear function that increases as both x1 and x2 increase. The optimal set for this objective function is the boundary of the feasible set, which includes the points where the constraints are binding. The optimal value is the minimum value of the objective function on the boundary.

(b) The objective function fo(x1, x2) = -z1 represents a function that is maximized when z1 is minimized. The optimal set for this objective function is the point (x1, x2) where z1 is maximized. The optimal value is the maximum value of z1.

(c) The objective function fo(x1, x2) = x2 - x1 represents a linear function with a slope of 1. The optimal set for this objective function is the line x2 = x1, which represents all points where the difference between x2 and x1 is minimized. The optimal value is the minimum value on that line.

(d) The objective function fo(x1, x2) = max(z1, x2) takes the maximum value between z1 and x2. The optimal set for this objective function depends on the specific values of z1 and x2. The optimal value is the maximum of z1 and x2, whichever is larger.

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Related Questions

Write the vertex form of the quadratic equation.
y=x – 6x + 5

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

y= (x-3)^2 -4

Step-by-step explanation:

Draw the image of the following segment after a dilation centered at the origin with a scale factor of 2/3

Answers

Answer:

When we have a point (a, b) and we have a dilation of scale factor K centered at the origin, the new coordinates of this point will be:

(K*a, K*b)

In this case, we can find the original coordinates of the endpoints of the original segment.

Then apply the dilation to these points, and then draw a new segment whose endpoints are the dilated points.

The endpoints of the original segment are (i can not see the image very well, so i may be wrong when noticing the points).

The first endpoint is (6, 9) and (12, 12)

Now we apply a dilation with a scale factor K = 2/3.

then we get the points:

((2/3)*6, (2/3)*9) = (4, 6)

and the other point is:

((2/3)*12, (2/3)*12) = (8, 8)

Now we need to draw a segment whose endpoints are (4, 6) and (8, 8)

The segment can be seen in the graph below.

Complete the statement. Round to the nearest hundredth if necessary.

9.2 in. ≈
cm

Answers

9514 1404 393

Answer:

  23.37 cm

Step-by-step explanation:

1 inch is 2.54 cm, so 9.2 inches is ...

  (9.2)(2.54 cm) = 23.368 cm ≈ 23.37 cm

1/2x + 7 = x + 13 solution

Answers

Answer:

-3

Step-by-step explanation:

Christie has $3.80 in quarters and dimes. She has three more dimes than quarters. How many of each coin does she have?

Answers

Answer:

Quarters = 10

Dimes = 13

Step-by-step explanation:

Given that :

Quarters = $0.25

Dimes = $0.10

Total value =. $3.80

Let :

Quarters = a

Dimes = a + 3 (3 more dimes Than quarters)

0.25a + 0.10(a + 3) = 3.80

0.25a + 0.10a + 0.3 = 3.80

0.35a = 3.80 - 0.3

0.35a = 3.5

a = 3.5 / 0.35

a = 10

Quarters = a = 10

Dimes = a + 3 = 10 + 3 = 13

7/10 - ___ + 3/2 = 6/5 ??????
Help me please

Answers

Answer:

1

Step-by-step explanation:

make all fraction have the same denominator:

7/10 - x + 15/10 = 12/10

isolate x: 12/10 - 7/10 - 15/10 ---> -x = -10/10

divide by 1 x = 10/10 or 1

x = 1

Answer:

1

Step-by-step explanation:

Let the no. be x

7/10-x+3/2=6/5

-x=6/5-3/2-7/10

-x=-10/10

-x=-1

x=1

Hope it helps

Please help me find the values of z and x!

Answers

Answer:

The answer would be 299

Step-by-step explanation: Just plug in 74 into x

The value of C has to be Greater than 0.65

Answers

Answer:

1.3

Step-by-step explanation:

1. .65 = .5c ---> .65/.5

2. 1.3 = c

Write the equation of the line in slope-intercept form given:

m = 3/7 through (-7, 7)

Answers

Answer:

y=3/7x+10

Step-by-step explanation:

y-y1=m(x-x1)

y-7=3/7(x-(-7))

y-7=3/7(x+7)

y=3/7x+21/7+7

y=3/7x+3+7

y=3/7x+10

HELP ASAP WILL GIVE BRAINLEST TO CORRECT ANSWER

What is the circumference of a circle with a diameter of 3 feet? Use 3.14 for pi



diameter = 3 ft


A. 4.71 ft
B. 9.42 ft
C. 18.84 ft
D. 7.07 ft​

Answers

Circumference = Pi x diameter

Circumference = 3.14 x 3 feet

Circumference = 9.42 feet.

The answer is B. 9.42 feet

452% as a decimal and as a fraction in simplest form

Answers

Answer:

decimal form: 4.52

fraction: 4 13/25

Step-by-step explanation:

Answer:

Decimal 4.52

Fraction 4  13/25


Write an equation of a line perpendicular to x = -7 and passes through the
point (4,9).

Answers

Answer:

y = 9

Step-by-step explanation:

The line x = -7 is a vertical line, so the perpendicular line will be horizontal.

Horizontal lines have a slope of 0.

Using this slope and the point given, plug them into y = mx + b to solve for b and create the equation

y = mx + b

9 = 0(4) + b

9 = b

Plug this and the slope into the equation:

y = mx + b

y = 0x + b

y = 9

So, y = 9 is the equation

Which expression is equivalent to 9u+5u?

Answers

14, I think its 14. let me know if I'm right

Trap spacing measurements​ (in meters) for a sample of seven teams of red spiny lobster fishermen are provided. Let represent the average of the trap spacing measurements for the population of red spiny lobster fishermen fishing in a particular region. The mean and standard deviation of the sample measurements were previously computed to be x=89.4, and s=11.4 meters respectively. Suppose the fishermen want to determine if the true value of differs from 95 meters

Answers

Look up on connect for the answer

joão has 7 apples if he gives joana 3 and matilde 4 how many did he have?

Answers

He had 7 and now he has 0.

which number is greater tha 9/4​

Answers

Answer:

9

Step-by-step explanation:

the biggest number gets eaten by the alligator

Please help ASAP! giving 100 points Use a decimal number to describe the shaded amount.



0.2
0.5
0.05
0.15

Answers

Answer:

B. 0.5

Step-by-step explanation:

There are 10 circles in total. 5 are shaded in.

We would make that a fraction.

5/10

Then we would convert it to a percent

50%

Then we will convert it to a decimal

0.5

Therefore, your answer would be B. 0.5

Find the value of x and the measure of the angle labeled 3x.
A. x= 14; angle measure is 30°
B. x = 10; angle measure is 42".
C. x = 14; angle measure is 42"
D. x = 10; angle measure is 30°

Answers

Answer:

X=10

Step-by-step explanation:

3x=30

3(10)=30

30=30

30+42=72

I hope this helps!

Answer:

D. x=10; angle measure is 30°

Step-by-step explanation:

hope this helps

Why does the sin 0 = cos (90 - 0)?

Answers

Answer:

It is a nonexistent circumstance where one point of a correct triangle gets zero. Attempt to think. At the point when the point becomes zero, at that point the base gets 0, and the opposite and the hypotenuse turns into a similar line. Since in cos 90, base is 0, in this manner consequently cos 90 is zero.

(Hope this helps! Btw, I am the first to answer. Brainliest pls!)

which of the expressions bellow is equal to -3x - 39

Answers

Answer:

117

(-3) × (-39) = 117

Step-by-step explanation:

hope it helps!

What is the sum? Question 1 of 60

Answers

Answer:

A

Step-by-step explanation:

2+3=5 and if you add 1 to 7 you get 8 and that would make a whole and whole is 1 so you add 1 to 5

Answer:

2 1/8 + 3 7/8 = 6

A. 6

Step-by-step explanation:

2 + 3 = 5

1/8 + 7/8 = 8/8

8/8 = 1 whole

5 + 1 = 6

HOPE THIS HELPS!!!!!

what is the measurement of angle x

the angle on the right measures 54 degrees and the left measures 38 degrees

Answers

Answer:

16

Step-by-step explanation:

180 is a straight line.

x is among that line so you must subtract the angles you know from 180.

180-54-38= 16

What is the height of the cone below?
V = 90 cm
B = 18 cm?
5 cm
06 cm
O 15 cm
O 30 cm

Answers

Answer:

5cm

Step-by-step explanation:

V = (B*H)

90 = (18 * H)

H = 90 / 18

Solve for a

Pythagorean theorem

Answers

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {c}^{2} - {b}^{2} = {a}^{2} [/tex]

[tex] {8}^{2} - {6}^{2} = {28}^{2} [/tex]

[tex] \sqrt{28} [/tex]

Answer:

[tex]\boxed{\sf{a=\sqrt{28} }}[/tex]

Step-by-step explanation:

Pythagorean theorems can be applied to solve this problem.

Pythagorean theorem:

[tex]\rightarrow \sf{a^2+b^2=c^2}[/tex]

⇒ c²-b²=a²

8²-6²=28²

Solve.

PEMDAS stands for:

ParenthesisExponentsMultiplyDivideAddSubtract

[tex]\sf{8^2-6^2}[/tex]

Solve by exponents from left to right numbers.

[tex]\sf{8^2=8*8=64}[/tex]

[tex]\sf{6^2=36}[/tex]

Then, subtract.

[tex]\sf{64-36=\boxed{\sf{28}}[/tex]

a=√28

Therefore, the correct answer is a=√28.

I hope this helps you! Let me know if my answer is wrong or not.

Calculate the slope of the line on the graph using the formula: m=y2-y1/x2-x1
The slope of the line is __ m/s

Answers

The slope is 4 m/s
Hope this helps

Answer:

4 m/s

Step-by-step explanation:

find the value of X ​

Answers

your answer would be X equals 50.6cm

Answer:

x = 50.6 cm

Step-by-step explanation:

ΔMAB ≈ ΔNMP

set up a proportion:  MA / MN = MB / MP

MA = 46.2 - 14

MA = 32.2

32.2 / 46.2 = x / 72.6

cross-multiply:

46.2x = 2337.72

x = 50.6

anyone knows this?!!?

Answers

Answer:

is that just 1/2 lol i think but if u want add me on disc Andreww#6506

Step-by-step explanation:

One of the angles of a parallelogram is 36 degree greater than another one. Find the angles of the parallelogram

Answers

Answer:

72, 72, 108, 108

Step-by-step explanation:

x, x, x+36, x+36 =360

4x=288

x=72

so,  x=72, x=72, x=108, x=108

Answer:

72*, 72*, 108*, 108*

What is X?
in decimal form plz

Answers

X should theoretically = 8.8 if you do the Pythagorean theorem.
6^2 + 4.2^2 = x^2
x = 7.3
Then go to the next triangle to find the missing length:
7.3^2 + 5^2 = x^
x = 8.8

Simplify: 2m – 6 ≤ 18.
Group of answer choices

m ≥ 6

m ≤ 12

m ≤ 6

m ≥ 12

Answers

Answer:

D. m≥12

Step-by-step explanation:

You first need to transfer the -6 over to the 18. The negative turns into a positive, therefore you add. 18+6 is 24. You now have 2m≤24. Bring the 2 over. You are dividing. 24/2 is 12.

Answer:

The answer is D.

Step-by-step explanation:

~Hoped this helped~

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