What is the minimum value of the objective function, C with given constraints? C=5x+3y {⎨x+3y≤9 {5x+2y≤20 {x≥1 {y≥2

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

Plotting the following constraints using the online geogebra graphing tool:

x + 3y ≤ 9         (1)

5x + 2y ≤ 20    (2)

x≥1 and y≥2      (3)

From the graph plot, the solution to the constraint is A(1, 2), B(1, 2.67) and C(3, 2).

We need to minimize the objective function C = 5x + 3y. Therefore:

At point A(1, 2): C = 5(1) + 3(2) = 11

At point B(1, 2.67): C = 5(1) + 3(2.67) = 13

At point C(3, 2): C = 5(3) + 3(2) = 21

Therefore the minimum value of the objective function C = 5x + 3y is at point A(1, 2) which gives a minimum value of 11.

What Is The Minimum Value Of The Objective Function, C With Given Constraints? C=5x+3y {x+3y9 {5x+2y20

Related Questions

Help me I will give you brain list if you answer this first

Answers

0 is the answer :)))

Plsss help I will give brainliest

Answers

The correct answer is A. Grade 7
In the table, it shows that for both grades 7 and 8 there are 10 students in band so it’s equal

Chloe wants to make a scrapbook with old family photos. An online scrapbooking company charges $45 plus $1 per page. Meanwhile, a family friend is willing to make a scrapbook for $9 plus $4 per page. For a certain number of pages, the prices would be equal. How many pages would that be? How much would Chloe be charged?

Answers

Answer:

The prices are equal when it's 12 pages. For 12 pages, she'd be charged $57

Step-by-step explanation:

x = PER page

y = total

Online scrapbooking equation:

y = 45 + x

Family friend equation:

y = 9 + 4x

Where prices (y) would be equal:

y = 45 + x     (Multiply this by -4)

y = 9 + 4x

y = 9 + 4x

-4y = -180 - 4x

-3y = -171

y = 57

y = 45 + x

-y = -9 - 4x

0 = 36 - 3x

3x = 36

x = 12

Coraline was training for cross country season an app to track 24 laps around the track that measures 110 m what was the total distance Coraline ran in kilometers

Answers

Answer:

2.64 km

Step-by-step explanation:

The first step is to calculate the distance in meters

= 24×110

= 2640 meters

1km= 1000 meter

2640 meters to kilometer

= 2640/1000

= 2.64 kilometers

Hence the distance is 2.64 km

I swear there are never tutors

Answers

Answer:

5-2y (the last option)

hope this helps!

please give brainiest<3

Answer:

2y-5

Step-by-step explanation:

y = x2
-2
What is the Domain:

Answers

Answer:

all real numbers

Step-by-step explanation:

The domain is the values that x can take

x can be any real number

what is the percent increase between 8,863,052 and 9,149,840?

Answers

Answer:

[tex]increase = 9149840 - 8863052 \\ = 286788 \\ \% \: increase = \frac{286788}{8863052} \times 100\% \\ = 3.24\%[/tex]

Answer:

=3.23577% increase

Step-by-step explanation:

1) subtract final value minus starting value

2) divide that amount by the absolute value of the starting value

3) multiply by 100 to get the percent increase

4) if the percentage bis negative, it means there was a decrease and not an increase

what is the slope of the line y = 8x - 10

Answers

Answer:

slope is 8

Step-by-step explanation:

y=Mx+c

m is the slope therefore the slope is equal to 8

The slope of the line y = 8x - 10 is 8.

What is Slope?

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.

Given line is y = 8x - 10

Equation of a line in slope intercept form is given by,

y = mx + c

Here, m is the slope and c is the y intercept.

The given equation is in the slope intercept form.

y = 8x - 10

The coefficient of x is the slope.

So slope of the given line = 8

Hence the slope of the line y = 8x - 10 is 8..

Learn more about Slope here :

https://brainly.com/question/14511992

#SPJ2

How many in five days?

Answers

Answer:

d

Step-by-step explanation:

Answer:

I think it is B

Step-by-step explanation:

Drag the tiles to the correct boxes to complete the pairs.
The function (x) is represented by this table of values

Answers

Answer:

Step-by-step explanation:

Average rate of change of a function between interval x = a and x = b is given by,

Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

Average rate of change of the function in the interval [-4, -2]

= [tex]\frac{f(-2)-f(-4)}{-2-(-4)}[/tex]

= [tex]\frac{0-(-12)}{-2+4}[/tex]

= 6

Average rate of change in the interval [-2, 1]                                                                            

= [tex]\frac{f(1)-f(-2)}{1-(-2)}[/tex]

= [tex]\frac{3-0}{1-(-2)}[/tex]

= 1

Average rate of change in the interval [-3, 1]

= [tex]\frac{f(1)-f(-3)}{1-(-3)}[/tex]

= [tex]\frac{3-(-5)}{1+3}[/tex]

= 2

Average rate of change in the interval [-4, 0]

= [tex]\frac{f(0)-f(-4)}{0-(-4)}[/tex]

= [tex]\frac{4-(-12)}{0-(-4)}[/tex]

= 4

A burrito chain offers a choice of pork, chicken, beef, or veggie burritos. Each burrito also comes with a choice of either rice or beans and either hot or mild salsa.

Answers

Answer:

16

Step-by-step explanation:

4 option: Pork, chicken, beef, or veggie burritos.

and for each of the 4 options: rice, beans, hot or mild salsa.

4x4=16

Example:

Pork with rice

Pork with beans

pork with hot salsa

pork with mild salsa

etc.

Pork: 4 possibility

Chicken: 4 possibility

Beef: 4 possibility

Veggie burritos: 4 possibility

4+4+4+4=16

Hope this answer help you.

Felix is a quality control expert at a factory that paints car parts. Their painting process consists of a primer coat, color coat, and clear coat. For a certain part, these layers have a combined target thickness of 150 microns. Felix measured the thickness of 50 randomly selected points on one of these parts to see if it was painted properly. What is Felix's margin of error? "Round to 2 decimal places​

Answers

Answer:

0.9

Step-by-step explanation:

His sample had a mean thickness of 148 microns and a standard deviation of 3.3 microns with a 95% confidence interval for the mean thickness.

Solution:

The z score shows by how many standard deviations the raw score is above or below the mean.

Given that:

The mean (μ) = 148 microns, standard deviation (σ) = 3.3 microns, sample size (n) = 50 and confidence interval (C) = 95%

α = 1 - C = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

The z score of α/2 is the same as the z score of 0.475 (1 - 0.025) which is equal to 1.96

The margin of error (E) is given by:

[tex]E=z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } \\\\E=1.96*\frac{3.3}{\sqrt{50} } \\\\E=0.9\ microns[/tex]

The following table shows the salary of 7 people in an office last year.
Name
Income
Andy
£13500
Bevan
£27500
Cheryl
£13750
Deva
£79000
Elliott
£19250
Frankie
£29000
Grace
£15000
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service..
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?

Answers

Answer:

23 poudsfgghhhhhhhxcvbnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

47 divided by 25, work it out step by step​

Answers

Answer:

1.88

Step-by-step explanation:

47/25

= 1.88

The answer would be 1 remainder 22

What is the answer ?????

Answers

Step-by-step explanation:

very difficult............

x+2y =27 and 2x-y=19

Answers

the answer
y=7. x= 13

Answer:

x = 13 , y = 7

Step-by-step explanation:

x + 2y = 27 => x = 27 - 2y ---------( 1 )

2x - y = 19 ------------ ( 2 )

Substitute ( 1 ) in ( 2 ) :

                         2x - y = 19

                         2(27 - 2y) - y = 19

                         54 - 4y - y = 19

                             -5y = 19 - 54

                             -5y = -35

                                y = 7

Substitute y = 7 in ( 1 ) :

                            x = 27 - 2y

                            x = 27 - 2( 7 )

                           x = 27 - 14

                          x = 13  

straight line graphs

Answers

Answer:

I don't get it what is the question ❓


When a cup of coffee at 100 degree Celsius cools down ,it loses 12%of its current temperature
per minute. What will the temperature be after 10 minutes.

Answers

Answer:

Temperature after 10 minute = 27.9 degree Celsius

Step-by-step explanation:

Current temperature, P = 100 degree Celsius

% rate in temperature loses = 12% per minute = 0.12

Time,  t = 10 minutes

Temperature after t minutes ,

                                           [tex]= P ( 1 - r )^t\\\\=100( 1 - 0.12)^10\\\\=100(0.278500976)\\\\=27.85[/tex]

                                           = 27.9 degree Celsius

A line contains the points (2,-7) and (-4,2). Which statement is not true?
A) The line has y-intercept - 4
B) The line contains
(1,-)
2
C) The line is parallel to 3x - 2y=6 D) The line is perpendicular to y=x+4
E) No portion of the graph of the line lies in the first quadrant

Answers

Answer:

a is the answer because I just did that question and got 100 percent.


1. The function below models the value of Tiana's car, where x represents
the number of years since she purchased the car. What is the rate of
growth or decay?*
f(x) = 24,000. 0.88
O Option 2 -88% Growth
O Option 3 -12% Decay
O Option 1 - 88 % Decay
O Option 4 - 12% Growth

Answers

Answer:

option 4

Step-by-step explanation:

Option 3 -12% Decay

Step-by-step explanation:

b) Find x and y.
x = 10-6

Answers

Answer:

to find y you have to do trigonometry

.y is inversely proportional to (x + 3) ?.
When x = 2, y = 8.
Find y when x = 7.
A 100
B. 4
C. 2.
D. 16
OA

Answers

Answer:

B

Step-by-step explanation:

y = k/(x + 3)

Let x = 2

Let y = 8

k = ?

8 = k/(2 + 3)      Combine the terms on the right

8 = k/(5)            Multiply both sides by 5

8*5 = k

k = 40

Let x = 7

y = 40/(7 + 3)

y = 40/10

y = 4

help i give many points

Answers

Answer:

Step-by-step explanation:

The pic doesnt wrk comment question and ill answer

A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (negative 1, 2), (0, 2), and (2, 2). The second line is labeled y equals g(x) and passes through (negative 0.5, negative 2), points at (0, negative 1), and (1, 1). The lines intersect at (1.5, 2).
Use the graph to determine the input value for which f(x) = g(x) is true.

Answers

Answer:

x=2/3

Step-by-step explanation:

Most of that information is unnecessary. Just plug in the values of f(x) and g(x) into the equation where they are equal to each other and solve.

-3x+4=2

-3x=-2

3x=2

x=2/3

Solve for the value of x in the diagram: Show your work and explain the steps you used to solve.

Answers

Answer:

x = 20

Step-by-step explanation:

The triangles are similar

3          (3+5)

----- = ----------

12        (12+x)

Using cross products

3(12+x) = 12*(3+5)

3(12+x) = 12*8

3(12+x) = 96

Divide by 3

3(12+x)/3 = 96/3

12+x = 32

Subtract 12

12+x-12 =32-12

x = 32-12

x =20

The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.

Answers

Step-by-step explanation:

Feel free to ask for more help. I love Linear Algebra

Please help me with this

Answers

Answer:

O = 29

P = 61

Step-by-step explanation:

90 = (x+3) + (2x+9)

90 = 3x + 12

90 - 12 = 3x

78 = 3x

x = 26

26 + 3 = O = 29

(26 * 2) + 9 = P = 61

61 + 29  = 90 = Complementary Angles

Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points. Which equation represents Nolan’s line?

y = 2x + 1
y = 2x + 3
y = 3x + 2
y = 3x + 5

Answers

I think the answer is the first option.

Answer:

B

Step-by-step explanation:

The equation of Nolan's line is  

The slope-intercept form of a line is given by:

Here

m is the slope of the line

and b is the y-intercept.

Given

y-intercept = b = 3

slope = m = 2

The values of m and b can be put into the equation to find the line's equation

So,

Putting the value

Hence,

The equation of Nolan's line is

What is the answer I need helppppp

Answers

Answer:

y= 4 x=0 (0,4)

Step-by-step explanation:

5x+y=4

-5x +y=4

the 5x would cancel out because they equal zero

2y=4

divide both sides by 2

y=4

put the y into one of the equations

5x +4 =4

subtract 4 from both sides

5x=0

divide five from both sides

x=0/5

so x=0

Step-by-step explanation:

5x+y=4 --> y=-5x+4

Plug this into the other equation:

-5x+(-5x+5)=4

Simplify:

-10x=1

x=-.1 (save this answer)

Plug into first simplified equation:

y=-5(-.1)+4

Solve:

y=4.5

(-.1 , 4.5)

Con procedimiento por favor

Answers

Answer:

C

Step-by-step explanation:

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