Please choose the option that would best fit the empty space above: Group of answer choices only one optimal solution multiple optimal solutions no solution, since it is infeasible no best solution, since it is unbounded None of the above

Answers

Answer 1

Answer:

Follows are the solution to this question:

Step-by-step explanation:

In this question, some of the data is missing, that's why this question  can be defined as follows:

It Includes an objective feature coefficient, its sensitivity ratio is the ratio for values on which the current ideal approach will remain optimal.

When there is Just one perfect solution(optimal solution) then the equation is:

[tex]Max \ Z = \$ 5x_1 + \$10x_2\\\\Subject\ to: \\\\8x_1 + 5x_2 \leq 80\\\\2x_1 + 1x_2 \leq 100\\\\x1, x2 \geq 0[/tex]

When there are Several perfect solutions then the equation is:

[tex]Max \ Z = \$ \ 200x_1 + \$ \ 100x_2\\\\ Subject \ to:\\\\8x_1 + 5x_2 \leq 80\\\\2x_1 + 1x_2 \leq 100\\\\x1, x2 \geq 0[/tex]

When there is also no solution, since it is unlikely then the equation is:

[tex]Max \ Z = \$40x_1 + \$10x_2 \\\\Subject \ to:\\\\8x_1 + 5x_2 \leq 80\\\\2x_1 + 1x_2 \geq 100\\\\x_1, x_2 \geq 0[/tex]

When there is no best solution since it is unbounded then the equation is:

[tex]Max \ Z = \$ 30x_1 + \$15x_2 \\\\Subject to:\\\\8x_1 + 5x_2 \geq 80\\\\2x_1 + 1x_2 \geq 100\\\\x_1, x_2 \geq 0\\[/tex]


Related Questions

Please help me Asp with this

Answers

Answer:

13/24 more

Step-by-step explanation:

Dina = 5/6

Natasha = 11/8

Find the LCF

6| 6, 12, 18, 24

8| 8, 16, 24

Get each fraction to have a denominator of 24

5/6 = 20/24

11/8 = 33/24

Subtract 20/24 from 33/24

33/24 - 20/24 = 13/24

while working at the school store, john sold a jacket for $40.00 and notebooks for $1.50 each.If he collected $92.50, how many notebooks did he sell?

Answers

Answer:

35 Notebooks

Step-by-step explanation:

$1.50x35=52.5

$52.5+$40=$92.5

or $92.50 - 40=$52.5

35x1.5=52.5

Answer:

35 notebooks

Step-by-step explanation:

let notebook as be 'x'

here, $40.00+x($1.50)=$92.50

x($1.50)=$92.50-$40.00

x($1.50)=$52.50

x=$52.50/$1.50

x=35

Type the correct answer in the box. Round your answer to the nearest integer.
B
D
30
35
A
С
In the figure, if m_ABD = 120°, then m_ADC =
-4345

Answers

Answer:

[tex]m\angle ADC=132^\circ[/tex]

Step-by-step explanation:

The Law of Sines

It is an equation relating the lengths of the sides of a triangle to the sines of its opposite angles. If A, B, and C are the lengths of the sides and a,b,c are their respective opposite angles, then:

[tex]\displaystyle \frac{A}{\sin a}=\frac{B}{\sin b}=\frac{C}{\sin c}[/tex]

We have completed the figure with the variable x for angle BDA. Thus

[tex]\displaystyle \frac{35}{\sin 120^\circ}=\frac{30}{\sin x}[/tex]

Solving for x:

[tex]\displaystyle \sin x=\frac{30\sin 120^\circ}{35}[/tex]

Calculating:

[tex]\sin x=0.742[/tex]

[tex]x=\arcsin 0.742[/tex]

[tex]x\approx 48^\circ[/tex]

Since angles ADC and x are linear, their sum is 180° and:

[tex]m\angle ADC=180^\circ-48^\circ[/tex]

[tex]\mathbf{m\angle ADC=132^\circ}[/tex]


To rent a booth at the county fair-grounds costs $42(per day plus a
one-time equipment fee of $85. Write and solve and equation to find the
number of days Ms. Williams rented a booth if she paid a total of $337

Answers

Answer:

85 + 42x = 337

x = 6

Step-by-step explanation:

For the equation:

We know there is a one-time fee plus 42 times the number of days you rent the booth for and that the total of the equation should be 337 as that is the total she paid for. We start with the one-time fee (85) and add the county fair-grounds cost (42) multiplied by the number of days you rent the booth for. Since we don't know how many days that is, we will make that our variable which we will call x.

So far we have: 85 + 42x

Now we should set the equation equal to the total amount of money Ms. Williams paid.

This will give us: 85 + 42x = 337

To solve the equation:

Our goal is to find x since that is the number of days Ms. Williams rented the booth for.

First, we subtract 85 from both sides of the equation.

42x = 252

Then, we divide both sides by 42 to isolate our variable, x.

x = 6

X is the number of days Ms. Williams rented the booth for. Therefore, Ms. Williams rented a booth at the county fair for 6 days.

What is the value of x?

Answers

Answer:

Step-by-step explanation:

The triangle is equilateral. That means that <N = 60 degrees

7x - 3 = 60 degrees             Add 3

7x = 60 + 3                           Combine the right

7x = 63                                  Divide by 7

7x/7 = 63/7

x = 9

John is standing on a set of bleachers and throws a baseball into the air. the baseball lands on the field. the height of the ball, in meters, is modeled by the function shown in the graph. what's the average rate of change of the height of the ball from the point when John throws it to its maximum height? ​

Answers

Answer:

2 m/s

Step-by-step explanation:

Given the graph of the baseball thrown into air.

John throws the baseball into the air from a given height and then the baseball reaches a maximum height and then comes back to ground.

The height of the baseball (in metres) is modeled by the function graph with respect to time.

To find:

The average rate of change of height of the ball from the point the ball is thrown to the maximum height.

Solution:

Here, the average rate of change can be found by dividing the distance between the two points with the change in time.

The starting time is 0 seconds.

The starting height is 3 metres.

The ending time is 2 seconds i.e. at which the ball reaches the maximum height.

The height is 7 metres.

Therefore, the average rate of change is:

[tex]\dfrac{\text{Change in height}}{\text{Change in time}}\\\Rightarrow \dfrac{7-3}{2-0}\\\Rightarrow \dfrac{4}{2}\\\Rightarrow 2\ m/s[/tex]

Answer:

2 meters per second

Step-by-step explanation: I took the test

i need help with this problem

Answers

Answer:

C

Step-by-step explanation:

in trangle NET the angles are 81 and  34 so the other angle must be 180-81-34=65, the other triangle has the same measurments for angles 81-34-65 so the triangles are similar because of AA similarity theorem

ΔHMJ~ΔNET by AA similarity

Find the area, in square units, of ABC plotted below.

Answers

Answer:

43.55

Step-by-step explanation:

1. Use the distance formula on both points AC and AB.

Distance formula is this:

[tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2} \\\\d=\sqrt{(1--5)^2+(8--7)^2} \\\\d=\sqrt{(6)^2+(15)^2} \\\\d=\sqrt{36+225} \\\\d=\sqrt{261} \\\\[/tex]

Distance for AC  is  16.16

Now do the same with the numbers for AB and get the distance of 5.39

2. To get the area, use the formula 1/2 x base x height

AB is the base and AC is the height.

1/2 x 16.16 x 5.39 = 43.55

The area of triangle ABC is 43.5 square units.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The shape ABC is a triangle.

Where,

AB = Base

AC = Height

A = (1, 8)

B = (6, 6)

C = (-5, -7)

First, let's find the length of AB using the distance formula:

AB = √((6-1)² + (6-8)²)

= √(25 + 4)

= √(29)

Next, let's find the length of AC using the distance formula:

AC = √((1-(-5))² + (8-(-7))²)

= √(36 + 225)

= √(261)

The area of the triangle ABC can be found using the formula:

Area = (1/2) x base x height

We know that AB is the base and AC is the height,

Area = (1/2) x AB x AC

Area = (1/2) x √(29) x √(261)

Area = (1/2) x √(7569)

Area = (1/2) x 87

Area = 43.5

Therefore,

The area of triangle ABC is 43.5 square units.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

10.3 )200.3865 if it is wrong then...... but if it is corect then u get brainliest

Answers

guys someone banned me because i said the right answer cherbears lz banned her

the sum of 9 times a number and 4 is 6​

Answers

Answer:

2/9

Step-by-step explanation:

6 - 4 = 2

2 divided by 9 = 2/9

Please help please please

Answers

I haven’t ever learn that in my entire life

Which line is the graph of -3x=y

A B Or C

Answers

Answer:

Line A

Step-by-step explanation:

What is the y-intercept of the function described by the equation y=15x - 60*

Choose from below
15
-60
60
100
Other:

Answers

I’m not sure about your answers I ended up with 4
when we want to find y-int , the value of x must be 0.

thus, subs x = 0

y = 15(0) - 60

y-int = -60

i am sorry i my answer was wrong

What is the quotient of 8/9 ÷ 16/9

Answers

Answer:

1/2 or 0.5

Step-by-step explanation:

A particular fruit's weights are normally distributed, with a mean of 281 grams and a standard deviation of 33 grams. If you pick one fruit at random, what is the probability that it will weigh between 291 grams and 299 grams

Answers

Answer:

0.0882

Step-by-step explanation:

Given that:

Mean(m) = 281

Standard deviation (s) = 33

Probability of weight between 291 and 299 gram

Obtain the standardized score (Zscore):

P (X ≤ 291)

Zscore = (x - m) / s

Zscore = (291 - 281) / 33

Zscore = 10 / 33 = 0.303

P(Z ≤ 0.303) = 0.61906 (Z probability calculator)

P (X ≤ 299)

Zscore = (x - m) / s

Zscore = (299 - 281) / 33

Zscore = 18 / 33 = 0.5454

P(Z ≤ 0.5454) = 0.70726 (Z probability calculator)

Hence, probability of weight between 291 and 299 gram = 0.70726 - 0.61906 = 0.0882

Help if you know please

Answers

Answer:

D, F, C

I hope this helps you out! :D

Answer:

A and E

Step-by-step explanation:

I have attached the graph of the problem.

Annie spent $143.89 at Kohls and there is a 6.25% sales tax. What will she pay in sales tax and
what is the total purchase price?

Answers

Answer:

net amount 143 89 tax 6.25 % which is $8.99 gross amount is $152.88

on a map with a scale 1: 25000,the area of a lake is 33.6 square centimeters. calculate the actual area of the lake, giving your answer in square kilometers​

Answers

Given :

On a map with a scale 1: 25000 .

The area of a lake is 33.6 square centimeters.

To Find :

The actual area of the lake.

Solution :

Let, actual area of lake is A.

So,

[tex]\dfrac{33.6}{A}=\dfrac{1}{25000}\\\\A = 840000\ cm^2[/tex]

We know , [tex]1 \ cm^2 = 10^{-10}\ km^2[/tex]

Area in km² is :

[tex]A = 840000\times 10^{-10}\ km^2\\\\A = 8.4 \times 10^{-5}\ km^2[/tex]

Hence, this is the required solution.

68=u-11
i need help lol pls

Answers

Answer:

u=79

Step-by-step explanation:

68=u-11

add 11 to 68

u=79

i think the answer might be 79

Type the missing number in this sequence:
58, 65, 72, ___, 86, 93

Answers

Answer:

79

Step-by-step explanation:

Answer:

79

Step-by-step explanation:

Each number has a 7 numerical difference

in a class of c children there are 16 boys what fraction of the class are boys ​

Answers

Answer:

16/c

Step-by-step explanation:

hope this helps <3

What is the perimeter of this figure?
6x+6
6x+10
4x+6
4x+8

Answers

Answer: 4x+8

Step-by-step explanation:

Okay since the area for the block is X, two numbers multiplied together is X.

Since the big block has an area of X^2, then this shows the sides to be X.

This gives the sides of the block with area X to be 1 and X.

Now just add up every side like this : 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + x + x + x + x to get 4x+8

Round 15500 to the nearesthundred

Answers

Answer:

It would be 16000

Step-by-step explanation:

have a great day :) brainliest would be nice too!

Through (2,-5); perpendicular to 3y=x-6

Answers

Answer:

y=-3x+1

Step-by-step explanation:

Have a good one.

Find the value of x, rounded to the nearest tenth place.
O 13.9
O 13.7
O 13.6
O 13.8

Answers

I think it would be 13.9

X=UHB SOLVE FOR H.

SOMEONE HELP ME PLS I BEG YOU!!

Answers

Answer:

[tex]\frac{X}{UB} = H[/tex] is the answer.

Step-by-step explanation:

Since we are solving for H, we need to get rid of everything that isn't H.

X = UHB can also be shown as X = UBH

Divide by UB on both sides to equal to H.

[tex]\frac{X}{UB} = H[/tex]

This is your answer.

#teamtrees #WAP (Water And Plant)

Please help me out.
Can the lengths 40, 60, and 80 form a supplementary triangle?

Answers

Answer: Yes

Step-by-step explanation:

A supplementary triangle has sides adding up to 180°.

We have the side lengths 40, 60, and 80.

To find out if it is a supplementary triangle, we will add all the sides.

40 + 60 + 80 = 180

We get 180° as our answer when we add.

We got 180°, so the answer is yes, it can.

Best of Luck!

Answer:

yes.

Step-by-step explanation:

Any angle that adds up to 180 is a supplementary angles.

based on your examples 40, 60, 80, if you sum it up...

it equates to 180. so the answer is yes.

All of the following statements are all true except

a. The quotient of c and b is negative.
b. The quotient of 0 and c is 0.
c. The quotient of a and b is positive.
d. The quotient of 0 and a is undefined.

Answers

Answer: The answer is B and C

Step-by-step explanation:

Answer:

c. The quotient of a and b is positive.

Step-by-step explanation:

If a triangle has a 30° angle and a 60° angle, then the triangle is an obtuse triangle
True or false

Answers

Answer:

False

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

60+30=90, and because a triangle always has a total of 180 degrees for their interior angles, the remaining angle is 90 degrees, so it is a right triangle, not obtuse.

need help.with this problem ​

Answers

Answer:

A' (2,2) B' (-2,1) C (3,-3)

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