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
uysha [10]
3 years ago
7

What is the minimum value of C = 7x + 8y, given the constraints: 2x + y ≥ 8, x + y ≥ 6, x ≥ 0, y ≥ 0. A. 32 B. 42 C. 46 D. 64

Mathematics
2 answers:
uranmaximum [27]3 years ago
6 0
I just took the test and the answer is 42
marshall27 [118]3 years ago
5 0

Answer: The minimum value of C is 46.

Step-by-step explanation:

Since, Here, We have to find out Min C = 7x+8y

Given the constraints are 2x+y\geq 8 -------(1)

x+y \geq 6   ------------- (2)

x \geq 0, y \geq 0  -------- (3)

Since, For equation 1) x-intercept, (4, 0) and y-intercept (0,8)

And, 2\times 0+0\geq 8⇒0\geq 8 ( false)

Therefore the area of line 1) does not contain the origin.

For equation 2) x-intercept, (6, 0) and y-intercept (0,6)

And, 0+0\geq 6⇒0\geq 6 ( false)

Therefore the area of line 2) does not contain the origin.

Thus after plotting the constraints 1) 2) and 3) we get Open Shaded feasible region AEB ( Shown in below graph)

At A≡(0,8) , C= 64

At E≡(2,4),  C= 46

At B≡(6,0),  C= 42

Thus at B, C is minimum, And its minimum value = 42


You might be interested in
PLEASE HELP ME I GIVE 5 STARS !
malfutka [58]

Answer:

It's the 2nd option 2*2*3*3*5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A laptop company claims up to 11.0 hours of wireless web usage for its newest laptop battery life. However, reviews on this lapt
emmainna [20.7K]

Answer:

Step-by-step explanation:

given that a  laptop company claims up to 11.0 hours of wireless web usage for its newest laptop battery life. However, reviews on this laptop shows many complaints about low battery life. A survey on battery life reported by customers shows that it follows a normal distribution with mean 10.5 hours and standard deviation 27 minutes.

convert into same units into hours.

X is N(10.5, 0.45)

a)  the probability that the battery life is at least 11.0 hours

P(X\geq 11)\\\\=1-0.8667\\=0.1333

(b)  the probability that the battery life is less than 10.0 hours

=P(X

(c)  the time of use that is exceeded with probability 0.97

=97th percentile

= 11.844

d)  The time of use that is exceeded with probability 0.9 is

is 90th percentile = 10.885

8 0
3 years ago
HELP I need to fine the slope-intercept form. Please it’s a timed assignment I only have two try’s and I already used one
barxatty [35]

Answer:

5. y = -1/2x + 6

6.  y = 1/2x + 150

7. y = 10x + 20

8. y = 25x

Step-by-step explanation:

Look at the y-intercept and eliminate the answers you dont need.

Then find the slope of each.

8 0
2 years ago
An angle measures 70° more than the measure of its supplementary angle. What is the measure of each angle
jekas [21]

Answer:

55° and 125°

Step-by-step explanation:

Formulate an equation x + (x+70) = 180

Combine like terms to get 2x + 70 = 180

Subtract 70 on both sides to get 2x = 110.

Divide both sides by 2 to get x = 55.

Add 70 to 55 to get 125.

Check your answer by adding 55 + 125. It equals 180, so the angles are equal to 55 and 125.

5 0
3 years ago
Wich line represents-7x-13 > 8?​
nlexa [21]

Answer: 3rd one

Step-by-step explanation:Because I’m not from 63rd nahh jkjk I don’t have to explain its hard to

Explain

6 0
3 years ago
Other questions:
  • in converting 54 centimeters to inches what unit(omit the number) would you place in the numeration of your ratio? use plural fr
    8·2 answers
  • Enter each data set into the statistics calculator. Make note of the mean, median, and shape of the histogram of each data set.
    9·2 answers
  • For what value of C will y = sin(x - C) be an even function?<br> a. 2π<br> b. π<br> c. π/2
    8·2 answers
  • Noah drew a scaled copy of Polygon P and labeled it Polygon Q. If the area of Polygon P is 5 square units, what scale factor did
    7·2 answers
  • B) Sanjit reads 3 books in 1 week.<br> Express as a unit rate
    6·1 answer
  • Five less than 3 times a number is 25. What is the number?
    9·2 answers
  • 6) What is the equation of a line that passes<br> through (-1, -3) and has a slope of 2?
    6·1 answer
  • Please help and show working outs of the screenshot attached
    7·1 answer
  • What is the value of ?<br> 14 when z = 9?
    10·2 answers
  • Divide.<br><br> 16 ÷ 1,000<br><br> 0.016<br> 0.0016<br> 1.6<br> 0.16
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!