1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alekssr [168]
3 years ago
12

At which vertex is the objective function C=3x-4y minimized

Mathematics
1 answer:
Oliga [24]3 years ago
3 0

Options

(A) (9,0) (B) (-2,20) (C) (-5,2) (D) (0,-9)

Answer:

(B) (-2,20)

Step-by-step explanation:

Given the objective function, C=3x-4y

The vertex at which C is minimized will be the point (x,y) at which the expression gives the lowest value.

<u>Option A </u>

At (9,0), x=9, y=0

C=3(9)-4(0)=27-0

C=27

<u>Option B </u>

At (-2,20), x=-2, y=20

C=3(-2)-4(20)=-6-80

C=-86

<u>Option C</u>

At (-5,2), x=-5, y=2

C=3(-5)-4(2)=-15-8

C=-23

<u>Option D </u>

At (0,-9), x=0, y=-9

C=3(0)-4(-9)=0+36

C=36

The lowest value of C is -86. This occurs at the vertex (-2,20).

Therefore, the objective function C=3x-4y is minimized at (-2,20).

You might be interested in
This graph looks like a trigonometric function. Which trigonometric function would be best to use for this model: cosine, sine,
Trava [24]
Sine wave with amplitude 0.25
Period is 4/3
h(t) = 0.25Sin((2Pi/4/3)t) = 0.25Sin((3Pi/2)t)
5 0
3 years ago
BRAINLIESSTTTT!!!
Yuri [45]

The answer would be B because the sum of the squares of the 2 shorter sides equal the square of the longer side, which is the pythagoream theorem of a^2+b^2=c^2.

5 0
3 years ago
Kris has finished 7/8 of 40 questions. how many were done​
VLD [36.1K]

7/8=0.875

0.875 x 40= 35

Therefore, Kris has finished 35 questions.

Hope this helps.

8 0
3 years ago
What is the formula for the distance between a line and a point on a graph?
erma4kov [3.2K]
The length of the new line, between the given point and the newly-found intersection point, is the distance between the point and the original line. To find the distance, subtract the x and y values to get the x and y displacements. Therefore, there is no specific equation!
7 0
3 years ago
Read 2 more answers
PLEASE HELP!!!! attached photo
alisha [4.7K]

Answer:

(-1, -2.5)

Step-by-step explanation:

The midpoint formula is just basicallyadding both  of the x values and then dividing the sum of them by 2, after that you will be adding both y values and then dividing them by 2, then you will get the midpoint x and y coordinate values. You can look up midpoint formula on google to see how it's actually written. You have to make sure to add correctly when you are using the negative numbers, because they can actually turn the equations into subtraction. Keep in mind, it can beconfusing sometimes when you are working with positive and negative numbers together. So make sure to just double check your work and also to make sure you added correctly.

<u><em>Brainliest please, I need a few more :D</em></u>

8 0
3 years ago
Other questions:
  • Write 0.0123 in dcientific notation
    14·2 answers
  • Find the slope of the line that contains these points (-2,5) (-4,11)
    5·2 answers
  • P equals 42. if the width of a rectangle is 8 inches what is the length of the rectangle
    11·1 answer
  • Amanda has a rectangular poster that is 20 centimeters long and 16 centimeters wide. what is the area of the poster in square me
    5·1 answer
  • FREE POINTS DONATION!!! 2 ANSWERS GETS IT!!! GET IT BEFORE SOME ELSE DOES!
    14·2 answers
  • A listing posted by a restaurant chain gives, for each of the sandwiches it sells, the types of fillings for the sandwiches, num
    13·1 answer
  • Tell whether the information in the diagram allows you to conclude that point D lies on the perpendicular bisector of BC.
    10·1 answer
  • WILL MARK BRAINLIEST IF RIGHT
    15·1 answer
  • Television screens are usually described by the length of their diagonal measure. What would the diagonal measure be for a telev
    8·2 answers
  • Solve for x. Round to the nearest tenth, if necessary.<br> X<br> H
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!