When formulating a constraint, care must be taken to ensure that a. all the objective function coefficients are included. b. the decision variables are set at either maximum or minimum values. c. the units of measurement on both sides of the constraint match. d. there are no inequalities in the mathematical expression.

Answers

Answer 1

Answer: C. the units of measurement on both sides of the constraint match.

Step-by-step explanation:

A constraint simply refers to the condition with regards to an optimization problem which must be satisfied by the solution.

When formulating a constraint, care must be taken to ensure that the units of measurement on both sides of the constraint match.

It should be noted that it's not necessary for all the objective function coefficients to be included. Also, there must be inequalities in the expression. Therefore, the correct option is C.


Related Questions

Question is in image

Answers

Answer:

4x + 8x = 180

12x = 180

x = 15

The area of this rhombus is 1 square millimeter. One of its diagonals is 1 millimeter.

Answers

Answer:

yo momma

Step-by-step explanation:

i need a huge amount f help

Answers

give the question and I will try if I couldn't srry

What is equavalent 3 11/40.
The best estimate close to this answer 3 11/40
A. 2 1/2
B. 3 Plzz help me
C. 3 1/2
D. 4

Answers

Answer:

C. 3 1/2

Step-by-step explanation:

Estimate the fraction part of the number.

11/40 > 10/40 = 1/4

We can estimate the fraction part as 1/2 since its greater than 1/4.

The number becomes 3 1/2.

Best choice is C

Answer:

11/40>10/40=1/4 is a part of ½

so

best estimate is 3 ½.

What are the values for q that will make the equation true |4q+12|=4

Answers

Hi there! Solving the absolute value equation is like solving a quadratic equation.

[tex] \large{ |x| = a \longrightarrow x = \pm a}[/tex]

[tex] \large{ |x| = \begin{cases} x \: \: \: (x \geqslant 0) \\ - x \: \: \: (x < 0) \end{cases}}[/tex]

From the absolute equation:

[tex] \large{ |4q + 12| = 4}[/tex]

Cancel the absolute symbol and write plus-minus of 4.

[tex] \large{4q + 12 = \pm 4}[/tex]

Solve the equation for q-term.

[tex] \large{4q = \begin{cases} 4 - 12 \\ - 4 - 12 \end{cases}} \\ \large{4q = \begin{cases} - 8 \\ - 16 \end{cases}} \\ \large{q = \begin{cases} - \frac{8}{4} \\ - \frac{16}{4} \end{cases}} \\ \large{q = \begin{cases} - 2 \\ - 4 \end{cases}}[/tex]

Hence, the value of q are -2,-4

Answer

q = -2,-4

The number of homeruns hit by each player on the Bobcats baseball team is listed below.
Which measure of center best describes the approximate number of homeruns hit by a typical Bobcat player?
12, 8, 4, 3, 3, 2, 2, 2, 0

Mode

Range

Median

Mean

Answers

Answer:

mean

Step-by-step explanation:

Five friends built a marble tower. The marble tower had a curved track. The track was designed so that the marbles would move down the track in a circular path. The track ended on the floor. Each friend predicted how he or she thought the marble would move when it rolled off the end of the track onto the floor. This is what they said:

Answers

Answer:

The best answer is of Keira's.

Step-by-step explanation:

The full question is as follows :

Given - Each friend predicted how he or she thought the marble would move when it rolled off the end of the track onto the floor.

This is what they said:

Magda : '' I think it will roll in circles.''

Soledad : '' I think it will curve for a bit and then straighten out.''

Allen : '' I think it will roll out in one big curve.''

Keira : '' I think it will roll in a straight line,''

Rafael : '' I think it will zigzag for a little while.''

To find - Which friend do you most agree with ?

Proof -

The best answer is Keira's.

The marble having the track will travel in a straight line.

The behavior is true for all objects.

If no outside force act on an object, the object will travel in a straight line at a constant speed.

When the marble leaves the end of the track, it is no longer in contact with the walls of the track.

That is , the marble has no longer a center-pushing force.

According to Newton's First law, an object remains at rest or in uniform motion in a straight line unless acted upon by an external force.

Since, there is no longer a center-pushing force so the marble rolls off the end of the track in a straight line path across the floor.

Find an explicit rule for the nth term of the sequence.

Answers

9514 1404 393

Answer:

  (a)  an = -4·2^(n-1)

Step-by-step explanation:

The form for the general term is ...

  an = a1·r^(n-1) . . . . . a1 is the first term; r is the common ratio

For a1=-4 and r=-8/-4 = 2, the rule will be ...

  an = -4·2^(n-1)

Answer:

the answer is a

Step-by-step explanation:

:)))))))))

Find area of this figure 3 ft 4 ft 5ft

Answers

Answer:

26.14

Step-by-step explanation:

For the triangles: 3*4=12

For the circle: 28.27/2=14.135

12+14.135=26.135

~26.14

50 POINTS PLEASE HELP
A normal work day for Carl is from 8:00 a.m. to 4:30 p.m. Carl wants to figure out the degree measure that the hour hand makes while he is at work. Carl believes that if he divides 360 by 12 and multiplies the result by 8.5 he will have the correct degrees the hour hand moves. Is Carl correct? If not, choose the appropriate explanation.
A
Yes, Carl is correct. The process he takes will give him the correct degrees the hour hand moves.

B
No, Carl is incorrect. He must take the number he ends up with and subtract it from 360.

C
No, Carl is incorrect. The hour hand will go around the clock 360 degrees.

D
No, Carl is incorrect. He must first multiply 360 by 12 and then divide by 8.5.

Answers

Answer:

The answer is B brainliest?

Step-by-step explanation:

1,861 rounded to the nearest tenth

Answers

Answer:

I assume that you meant 1.861.

If that is true, then 1.9 would be your answer.

Hope that this helps!

Answer:

1860

Step-by-step explanation:

id appreciate some help so much

Answers

Answer:

1/64

Step-by-step explanation:

(1/4)³

Answer:

1

Step-by-step explanation:

The ratio of men to women working for a company is 5 to 4. if there are 92 women working for the company, what is the total number of employees?

Answers

There is 115 men working there so add up the woman and u get 207employees

WILL GIVE BRAINLIEST .

Answers

Answer:

the answer is c . hope it helps

Write a piece wise graph NEED ASAP PLEASE

Answers

Answer:

C

Step-by-step explanation:

Here's the easy way. There are 3 equations. One of the equations uses y=1. So it must be C.

Jennifer has a collection of 1,600 coins. Of the coins, 40% are dated before 1940, 35% are dated from 1940 to 1980, and the rest are dated after 1980. How many coins in Jennifer’s collection are dated after 1980?

Answers

Answer:

Step-by-step explanation:

 40% + 35 % = 80 %    so 20% are dated after 1980

20% is .20 in decimal form

.20 (1600) = 320 coins dated after 1980

 

which function is represented in this graph

Answers

Answer:

C.  f(x) = |x + 5| - 1

what is the range function 2x +y=7 if the domain is (-4,-2,0,5,7)

Answers

Answer:

range: {15, 11, 7, -3, -7}

Step-by-step explanation:

when x = -4, y = 15

when x = 2, y = 11

when x = 0, y = 7

when x = 5, y = -3

when x = 7, y = -7

finding the slope to points ​

Answers

Answer: there’s no slope?

Step-by-step explanation: confused

Answer:ya where the slope at

Step-by-step explanation:

100 points
(algebra one)
describe and correct the error in comparing the graphs

Answers

Answer:

The error made is that the graph of [tex]y=x^{2} +3[/tex] is a vertical translation up by 3, instead of down.

Step-by-step explanation:

Exponential functions, when they are graphed, use the function [tex]f(x)=a(x-h)^{2} +k[/tex].

In the equation, k expresses how much the graph shifts vertically. In this case, the function shifts vertically up by 3 from the parent function, [tex]y=x^{2}[/tex]. So, the translation is actually 3 units up compared to the graph of [tex]y=x^{2}[/tex].

Hope this helps and have an amazing day!! ❤

Please help!!! I've been trying to figure this out all day!

The American College of Sports Medicine considers age as one factor when it recommends low and
high heart rates during workout sessions.
For safe and efficient exercise, your heart rate should be between 55% and 90% of the maximum
heart rate level. The maximum heart rate is calculated by subtracting a person's age from 220
beats per minute.
(Let a represent a person's age and h represent the person's recommended heart rate.)
1. The following equation represents the low value for heart rate. Simplify the equation.
h = .55(220-a)
2. The following equation represents the high value for heart rate. Simplify the equation.
h = .90(220-a)
3. Use these two expressions to write a system of inequalities that represents the heart rate range
for safe and efficient exercise. (Hint: you need to write two separate inequalities)

Answers

Answer:

.55(220-a) + .90(220-a)

Step-by-step explanation:

Introduction to the Quadratic Formula

Answers

Answer:

Any questions for us

....

If no one minds I need help!

Answers

Answer:

A and C

Step-by-step explanation:

Put the points on a graph and determine if they are perpendicular.

They are, in fact, perpendicular.

I believe it’s A and C (sorry if you get it wrong)

What is the measure of an interior angle of a regular 360-gon

Answers

Answer:

The sum of any 360-gon's interior angles is 64440 degrees.

Step-by-step explanation:

Answer:

64,440 is the sum of all the interior angles, 179 is the measure of one interior angle

Step-by-step explanation:

We will use the equation x = (n-2) 180 x is the sum of all the interior angles and n is the number of sides this figure has, so we solve

x = (360-2) 180

x= (358) 180

x= 64,440

So the sum of all the interior angles is 64,440

to find each interior angle we must divide the sum of all the interior angles by the number of sides the figure has, so we would divide 64,440 by 360

64,440/360 = 179

Therefore, the measure of each interior angle is 179

HELP PLEASE!!
Explain the error in the following exercise;
then correct it.

Answers

Answer:

2/1x7/6=14/6=7/3

Step-by-step explanation:

Multiply the 2 by the 7 but Not the 6. So the second number is 14/6, not 14/12.

‘Then simplify 14/6 to 7/3

which quadrant would contain the point -3, 3
please help!
thankyou!​

Answers

Answer:

Quadrant 2

Step-by-step explanation:

(-3,3) when plotted on a graph fits into quadrant 2!

The answer is quadrant 2.

NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ WILL REPORT FAKE ANSWERS

Answers

i think B! please correct me if i am wrong

Pls I need alot of help
Grace and her friends are playing a game that uses two dice. Each die is a tetrahedron –

a four‐sided shape with each side an equilateral triangle. Each side of the die contains

one of the digits 1, 2, 3, or 4.

a. Create the sample space of all possible outcomes if you were to roll the two dice

simultaneously. List the digit on the first die first and the digit on the second die

second (i.e. 1,1; 1,2; and so on.) (10 points)

b. What is the theoretical probability that the sum of the two numbers on a roll will

be five? (2 points)

c. If Grace and her friends were to roll the two dice 100 times, how many of the

100 times could they expect to roll the same number on each die? (In other

words, the outcome would be 1,1 or 2,2 or 3,3 or 4,4.) (4 points)

Answers

Answer:

Step-by-step explanation:

Very interesting problem. Be thankful it is not a six sided dice.

Part A

1  1

1  2

1  3

1  4

2  1

2  2

2  3

2  4

3  1

3  2

3  3

3  4

4  1

4  2

4  3

4 4

Part B

There are 16 possible out comes

1   4

4  1

2  3

3  2

4 out of the 16 outcomes are possible

P(5) = 4/16 = 0.25

Part C

The theoretical out come would be 4 times

4/16 = 0.25

On a hundred rolls, you would expect to get 25 sets of doubles.

Answer:

The correct answers are:

a.

1  1   1  2    1  3    1  4    2  1    2  2    2  3    2  4

3  1   3  2   3  3    3  4    4  1   4  2    4  3    4  4

b.

4 possible outcomes!

c.

25 sets!

Step-by-step explanation:

a.

Try making a probability by using the counting principle method.

1  1   1  2    1  3    1  4    2  1    2  2    2  3    2  4

3  1   3  2   3  3    3  4    4  1   4  2    4  3    4  4

These numbers are the possible outcomes. Each 2 numbers stand for 1 outcome.

b.

16 possible outcomes

1   4    4  1    2  3    3  2

4/16 possible

P(5) = 4/16 = 0.25

c.

The theoretical outcome = 4 times

4/16 = 0.25

25 sets of rolls are expected to be rolled on the same number per 100 rolls.

I hope this helps! Have a good day ;)

Please mark this as brainliest please! I would appreciate it! :)

plzzzzzz help for a brianly

Answers

Answer:b

Step-by-step explanation:

The measure of an angle is 89. Find the measure of its supplement
a. 91
b. 89
c. 90
d. 80

Answers

Answer:

A. 91

Step-by-step explanation:

Supplementary angles are 2 angles that when added together, equal 180 degrees. 91+89=180

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