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
Create2 ratios that are equivalent to the ratios below6:10 answer
Andrews [41]

Answer:

3:5, 12:20

Step-by-step explanation:

A ratio is basically just a fraction. Therefore, 6:10 is just 6/10, or 3/5, or 3:5. It's the same thing as a fraction, just with a colon.

Thus, all you need is two equivalent fractions to 6/10. Examples are 3/5, 12/20, 30/50, etc. After you find the fractions, you just need to put them back into ratio form, so 3:5, 12:20, 30:50, etc.

4 0
3 years ago
Fill in the blanks to complete the steps for finding the equation of a parallel line.
gtnhenbr [62]

Answer:

1.point-slope

2.slope

Step-by-step explanation:

4 0
3 years ago
Find the percent of decrease from $60 to $48. Round the percent to the nearest tenth if necessary.
Rom4ik [11]

Answer: 20%

Step-by-step explanation: Basically you find the difference which is twelve, and put it over the original amount which is 60. You get 1/5 which in percent form is 20%

3 0
3 years ago
NEED HELP ASAP!!!
melamori03 [73]
◆ Lines n Angles ◆

Hey !!

Check the attachment.
Hope it helps you :)

4 0
3 years ago
A polynomial is to be constructed that has 8 turning points. what is the minimum degree of the polynomial?
inessss [21]
1) 8 turning points means 8 vertices, which implies minimum degree 9 (when the polynomial is x^2 the degree is 2 and it has one turning point).

2) 5 turning points means minimum degree 6, 3 zeros means minimum degree 3, the multiplication implies minimum degree 6+3 = 9

3) 5 times crossing the x - axis  is 5 zeros, then the minimum degree is 5.

4) f(x)=x^14 + x^6 +  x^9 + x^3,maximum number of turning points 14 -1 = 3 (remember one less than the grade is the maximum posible number of turning points, but it could be less, for example f(x) = x^2 has one turning point).
 
3 0
3 years ago
Other questions:
  • Midpoint and distance 2 questions 13 points
    5·1 answer
  • What is larger 96inches or 8 feet
    6·2 answers
  • Which expression has the same value as -18÷(-9)
    9·2 answers
  • If three X equal to 216 then find the value of 3 X - 2 ​
    12·1 answer
  • Please help ASAP 15 points
    10·1 answer
  • NO SCAM LINKS. <br><br> please reply ASAP PLEASEEEE
    5·2 answers
  • What percentage of each shape is shaded?<br> guys someone help please
    11·1 answer
  • What is the value of q?
    15·1 answer
  • A recipe for pizza crust call for 3 cups of flour for every 1 cup of water.How many cups of water are needed for 21 cups of flou
    13·1 answer
  • A sample was taken of dogs at a local dog park on two random days. The counts are displayed in the table below. If there are est
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!