The vertices of a feasible region are (14, 2), (0, 9), (6, 8), and (10, 3). What is the maximum value of the objective function P if P = 180x 250y?.
The maximum value of the objective function is 3080
The vertices of a feasible region are given as
(14, 2), (0, 9), (6, 8), (10, 3)
The objective function is given as:
[tex]\mathbf{P = 180x + 250y}[/tex]
Substitute the ordered pairs in the objective function
Point (14,2)
[tex]\mathbf{P = 180 \times 14 + 250 \times 2}[/tex]
[tex]\mathbf{P = 3020}[/tex]
Point (0,9)
[tex]\mathbf{P = 180 \times 0 + 250 \times 9}[/tex]
[tex]\mathbf{P = 2250}[/tex]
Point (6,8)
[tex]\mathbf{P = 180 \times 6 + 250 \times 8}[/tex]
[tex]\mathbf{P = 3080}[/tex]
Lastly, we have point (10,3)
[tex]\mathbf{P = 180 \times 10 + 250 \times 3}[/tex]
[tex]\mathbf{P = 2550}[/tex]
The maximum value of P is calculated to be 3080.
Hence, the maximum value of the objective function is 3080
Read more about objective functions at:
https://brainly.com/question/11206462
Answer:
3080 is the answer ^
Step-by-step explanation:
8x - 2y = 4 and x + 4y = -12
x = -12 - 4y
y = -3 - (x/4)
There you go! :D
i’ll give you brainliest, thank you sm
Answer:
C. (2,7)
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
In order to find which ordered pair makes the equation true, we have to understand that the format of a coordinate pair is (x, y)
Knowing that, we can plug in the numbers from each coordinate pair that correspond to the x and y values of the equation
For instance, for A (-1, 5) we would plug in 5 for x and -1 for y
Now we have -1 = 3(5) + 1
Multiply 3 and 5
-1 = 15 +1
Add
-1 = 16
The numbers on each side are not equal so this is not the answer
Now for B (10,3)
We do the same thing, plug in the numbers
3 = 3(10) + 1
Multiply
3 = 30+1
3 = 31
This choice is false as well
Option C (2, 7)
Plug in the numbers
7 = 3(2) + 1
Multiply
7 = 6+1
Add
7 = 7
Thus C is the answer as it is the same number on both sides~!
Hope this helpsss! :D
What are the types of polygons?
Answer:
Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon and Decagon
Answer:
1.Regular Polygons.
2.Irregular Polygons.
3.Concave Polygons.
4.Convex Polygons.
5.Trigons.
6.Quadrilateral Polygons.
7.Pentagon Polygons.
8.Hexagon Polygons.
Step-by-step explanation:
Dashawn solves the following system of equations using the elimination method.
3x−4y=36
5x+2y=8
What value does he correctly determine for x?
Enter you answer in the box.
Answer:
x = 4
Explanation:
3x - 4y = 36
5x + 2y = 8 ( multiply all by two )
3x - 4y = 36
10x + 4y = 16
13x = 52
Divide by 13
x = 4 hope this helps
Answer: x = 4
Step-by-step explanation: the dude is correct
helppppppp
plwaseeee
Some people use this rule to work out
how many hours' sleep each night
young children need.
tract the child's age in years from 30,
ten divide the result by 2
Sanjay is 8 years old.
Use the rule to work out how many
hours' sleep he needs.
Find the gradient of the line passing through (0,2) and (3,5)
pls i need for hwk
Answer:
The gradient is 1
Step-by-step explanation:
m, gradient= (y2-y1) ÷ (x2-x1)
What is the slope intercept equation from the graph?
Please help thank u
Answer:
the desired equation is y = (-3/2)x + 3
Step-by-step explanation:
Two points through which the graph passes are (0, 3) and (2, 0). (0, 3) is the y-intercept. Thus, the slope-intercept equation y = mx + b becomes
y=mx + 3. Borrowing the coordinates of (2, 0) and substituting them into this last result, we get
0 = m(2) + 3,
which, after having been solved for m, gives us m = -3/2
and so the desired equation is y = (-3/2)x + 3.
Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot
Answer:
Option A
Step-by-step explanation:
Please help this is my last points
Answer with explanation please
Please I need it now
Answer:
im going to guess cause i barely see 120
Step-by-step explanation:
Answer:
Three sets of supplementary angles
1 & 4 = 180º
2 & 5 = 180º
3 & 6 = 180º
Total = 540º
Sum of angles in triangle = 180º
Therefor sum of exteriort angles
540 - 180 = 360º
A rectangular pipe flowing full has the following cross-sectional dimensions Width: 6 m Height: 9 m Find the pipe's hydraulic radius in meters
If the height of a cone is 7.5 cm and the radius is 2 cm, find the approximate volume of the cone.
Answer:
The volume of the cone is approximately 31.43 cm³Step-by-step explanation:
We know that:
Volume of cone: πr²h/3h = 7.5r = 2Work:
πr²h/3=> π x r² x h/3=> 22/7 x 2² x 7.5/3=> 22/7 x 4 x 2.5=> 22/7 x 10=> 220/7=> 31.43 (Rounded to nearest hundredth.)Hence, the volume of the cone is approximately 31.43 cm³
Hoped this helped.
[tex]BrainaicUser1357[/tex]
(ASAP) helpp i need to get this done 3m
3(a-4) + 1= 9 - a
3(a-4) = 8 - a
3a-12 = 8 - a
4a = 20
a=5
I hope this helps! :)
Answer:
a=5
Step-by-step explanation:
3(a-4)+1=9-a
3a-12+1=9-a
3a-11=9-a
3a+a=9+11
4a=20
a=20÷4
=5
A cylindrical water tank has a diameter of 4 m and a height of 3 m, while a water tank shaped like a rectangular prism has a length of 7 m, a width of 2 meters and a height of 2 meters. Which of the two tanks can hold more water? By how many cubic meters
it takes clay 1/2 hour to mow his lawn how much of the yard will be mowed after 1/3 hour
Answer:
Step-by-step explanation:
Clays rate is 1/2 hour per lawn. We can write this as Rate = 3/2 hr/lawn.
If Clay mows for 1/3 hour, we can determine the amount of lawn mowed by dividing the 1/3 hour by the rate:
(1/3 hr)/(3/2 hr/lawn) = (1/3)*(2/3) = 2/9 of a lawn.
i need help with this question please
Answer:
AC = 24
Step-by-step explanation:
DE is the midline of the triangle, parallel to AC. It is half the length of AC, so ...
2·DE = AC
2(2x -14) = 3x -15
4x -28 = 3x -15 . . . . . eliminate parentheses
x = 13 . . . . . . . . . . . . . add 28-3x to both sides
AC = 3x -15 = 3(13) -15
AC = 24
_____
Additional comment
DE = 2(13) -14 = 12, half the length of AC.
The six seventh grade classes held a fundraiser where they sold candy bars. The school's principal award a $1000 prize to be divided between the six classes. If each class sold a different quantity, what would be the most equitable way to divide the money based on their sales ? If 8, 200 candy bars were sold, simulate how you divide the money between the six classes .
Answer:
8200/1000 = 8.2 so each time a class selss 8.2 bars, they receive 1 dollar.
If a class sold 16 bars, the class receives 2 dollars, if it sold 82 bars, it receives 10 dollars and so on.
10 feet long and 5 feet wide. What is its area?
Answer:
50 square feet
Step-by-step explanation:
Length x width
Answer:
50
Step-by-step explanation:
10 times 5 = 50
HELP * PICTURE INSERTED*
Answer:
9m^2
Step-by-step explanation:
Area of triangle = 1/2 ×base×height
=1/2(2/3m ×27m)
Area of triangle =9m^2
Each container on a cargo ship holds 60 boxes of furniture.
Which table shows the values for 60c, the number of boxes
in c containers?
4
5
6
Number of Containers, C
Number of Boxes, 60c
240 300 360
4
5
6
Number of Containers, C
Number of Boxes, 60c
240 280 320
B.
4
5
6
Number of Containers, C
Number of Boxes, 60C
240 350 460
C
Answer:
imagine cheating on your star assessment but same tho the answer is c
Step-by-step explanation:
because i solved it on paper
Answer:
Step-by-step explanation:
C
It took Jada's aunt 3/4 hour to put a puzzle together. It took Jada 2 1/3 times as long as her aunt to put the puzzle together.
How long did it take Jada to put the puzzle together?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
1 3/4 brainliest please
Step-by-step explanation:
Answer:It took Jada 1 3/4 hours to put the puzzle together.
Step-by-step explanation: Multiply 3/4 by 2 1/3 and you get the answer.
The cost of renting a video game is $4 per a day, plus a $3 rental fee. If jonathan has $12 to spend, what is the maximum number of days he can rent the video game?.
Answer:
2 days
Step-by-step explanation:
12 - 4 = 8
8/3 = 2.7
Is the trend line linear? If so, write a linear equation that represents the trend line. Show your work. I am having trouble writing the equation will someone do it for me because I don't understand.
Answer:
Our equation: y = 200x/3 + 100
Step-by-step explanation:
The trend line is linear.
y = mx + b
=> b = y-intercept = 100
=> m = slope = rise/run
=> 400/6 = 200/3
=> Slope = 200/3
Our equation: y = 200x/3 + 100
Hoped this helped.
can 22.75 be rounded off to 23.5?
(im not smart pfft)
Answer:
No
Step-by-step explanation:
22.75 can be rounded to:
22.8
23
20
Answer:
no only 22.8
Step-by-step explanation:
Help please this is for a exam i give brainliest to!
Which expression results in a sum or difference of 4 9/36?
A: 8 2/3 - 4 5/12
B: 2 3/12 + 2 1/3
C: 6 5/9 - 2 1/4
D: 3 1/4 + 1 4/9
NO LINKS!!!
Answer:
The Answer is A. :)
Step-by-step explanation:
Write an equation of the parabola that passes through the point (62,-490) and has x-intercepts -8 and 72
Step-by-step explanation:
as x intercepts are -8 and 72 we realize that f(x)=a(x+8)(x-72)
we know that f(62)=-490 so a= -0.7
so f(x)= -0.7(x+8)(x-72)
What is 216/162 written as an improper fraction in simplest form?
A.6/4
B.4/3
C.3/2
Answer:
4/3
Step-by-step explanation:
216 / 162
= 108 / 81
= 12 / 9
= 4 / 3
Answer:
The improper fraction is 4/3 because when you read the sentence and listen to the teacher it will tell you the answer because of your teacher giving you the answers you will get 100% on your assignment or Quiz.
Step-by-step explanation:
Brainliest Plz
Judy is trying to stack books on a shelf that is 20 inches tall. If each book is 4/5 inches thick, how many
books can she stack on the shelf?
Create a probability model for the outcome of performing 2 spins. What is the probability of NOT landing on yellow or red at all?
Using the concept of probability, the probability of not landing on yellow or red at all is 1/4.
Creating a square model of the two spins :
Red(R) ; Blue(B) ; Green(G) ; Yellow(Y)___ R ___ B ___ G ___ Y
R_ RR __ RB __ RG __ RY
B_ BR __ BB __ BG __ BY
G_ GR __GB __ GG __GY
Y_ YR __ YB __ YG __ YY
Sample space = 4² = 16Combinations without red and yellow :
{BB, BG, GB, GG} Number of selections without red or yellow = 4Recall :
Probability = required outcome / Total possible outcomesP(without Red or Yellow) = 4/16 = 1/4
Hence, the probability of not landing on yellow or red at all is 1/4.
Learn more : https://brainly.com/question/14605518