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
mash [69]
3 years ago
13

Maximize: z=6x + 4y

Mathematics
1 answer:
coldgirl [10]3 years ago
6 0

Answer:

The maximum value of z is 244 at x= 8 and y=49.

Step-by-step explanation:

We are given the system of equations as,

Maximize : z= 6x+4y

Subject to : 8x-y\leq 15

                   3x + y\geq 10

                   x\geq 2

                   x\leq 8

After plotting the inequalities to which the maximized function is subjected to, we get the following graph.

So, we will find the value of 'z' at the enclosing the solution region.

                                   z= 6x+4y

(2,4)                            z= 6×2+4×4= 12+16 = 28

(2.273,3.182)              z= 6×2.273+4×3.182 = 13.64+12.73= 26.37

(8,49)                          z= 6×8+4×49 = 48+196= 244

Thus, we get that the maximum value of z is 244 at x= 8 and y=49.

You might be interested in
9,732,005 rounded to the nearest million
lys-0071 [83]
10,000,00 is the correct answer! Since 7 is greater then 5 you would round up to 10 which = to 10,000,000
8 0
3 years ago
Read 2 more answers
Please explain to me how to answer this question
Elena L [17]
She is wrong. The way we know this is by this. If you are going 70 mph for 30 miles than you have to spilt the mph sign in half so 35 miles in 30 minutes.The you subtract 4 from each getting 31 miles in 26 minuets. Therefore Lethna is wrong.
4 0
3 years ago
5x +6y = 20 (1)
slega [8]
(2) + (2)

=> 8x - 6y = -46 ———(3)

(1) + (3)

=> 5x + 6y + (8x - 6y) = 20 - 46

=> 13x + (6-6)y = -26

=> 13x + 0y = -26

=> 13x = -26

=> x = -26/13

=> x = -2

=> 5(-2) + 6y = 20

=> 6y = 20 + 10

=> 6y = 30

=> y = 5

x = -2, y = 5 => C





4 0
2 years ago
Read 2 more answers
Help me pls! (Dot plots) Answer F G H. (Median and range)
skad [1K]

Answer:

F. Last season median was 2, this season median was 5

G. The range last season and this season are the same: 8

H. This season was Paula's best.  Her median score per game was 5, and she scored as many as 9 points in a game. (If you've discussed mean and mode in class, here's more info) Her mean score (average score) last season was 3.41, and this season was 5. Also, her mode (score she recorded most often) this season was 5, compared to last season's mode of 2.

Step-by-step explanation:

Last season data set:

0, 1, 1, 2, 2, 2, 2, 4, 5, 7, 7, 8

median: 2

range: 8 - 0 = 8

mean: 3.41 points per game

mode: 2 points per game

This season data set:

1, 2, 2, 3, 5, 5, 5, 5, 7, 8, 8, 9

median: 5

range: 9 - 1 = 8

mean: 5

mode: 5 points per game

Let me know if you have any questions.

8 0
3 years ago
Find the slope of a line that passes through the following points<br> (-1,-5), (3,-3)
svet-max [94.6K]

Answer:

m=\frac{1}{2}

Step-by-step explanation:

defition of  slope(m) of a line:

m=\frac{Y_b-Y_a}{X_b-X_a}

A=(-1,-5)=(Xa,Ya)  then Xa= -1 and Ya= -5

B=(3,-3)=(Xb,Yb) then  Xb=3 and Yb= -3

m=\frac{-3-(-5)}{3-(-1)} \\\\m=\frac{-3+5}{3+1} \\\\m=\frac{2}{4} \\\\m=\frac{1}{2}

8 0
2 years ago
Other questions:
  • A tortoise is walking in the desert. It walks at a speed of 7 meters per minute for 87.5 meters. For how many minutes does it wa
    8·1 answer
  • How do you do c/6 = -4 I've tried but got confused.
    15·1 answer
  • Evaluate: 32-5(4+2)+8×2
    12·2 answers
  • The graph of a line relates the volume as measured in gallons with its approximate equivalent volume measured in liters. Two
    7·1 answer
  • which of the following best describe the blue line in the image below A. The line constructed through point P that is parallel t
    5·1 answer
  • How many triangles can be constructed with angle measurements ​ 90°,45°,50° ​ ?
    15·1 answer
  • Is the correct or this wrong, pleaee let me know if its wrong and explain
    12·2 answers
  • What is the approximate circumference of a circle that has a radius of 10 centimeters? (Use 3.14 for ). C=__ cm​
    14·2 answers
  • 40 points Choose the definition for the function
    13·1 answer
  • the bulk juice outlet charges $4 for a quart of any organic juice. using this information, fill in the prices for different volu
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!