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
wolverine [178]
4 years ago
7

I have corner points of:

Mathematics
1 answer:
WARRIOR [948]4 years ago
7 0
The points you found are the vertices of the feasible region. I agree with the first three points you got. However, the last point should be (25/11, 35/11). This point is at the of the intersection of the two lines 8x-y = 15 and 3x+y = 10

So the four vertex points are:
(1,9)
(1,7)
(3,9)
(25/11, 35/11)

Plug each of those points, one at a time, into the objective function z = 7x+2y. The goal is to find the largest value of z

------------------

Plug in (x,y) = (1,9)
z = 7x+2y
z = 7(1)+2(9)
z = 7+18
z = 25
We'll use this value later. 
So let's call it A. Let A = 25

Plug in (x,y) = (1,7)
z = 7x+2y
z = 7(1)+2(7)
z = 7+14
z = 21
Call this value B = 21 so we can refer to it later

Plug in (x,y) = (3,9)
z = 7x+2y
z = 7(3)+2(9)
z = 21+18
z = 39
Let C = 39 so we can use it later

Finally, plug in (x,y) = (25/11, 35/11)
z = 7x+2y
z = 7(25/11)+2(35/11)
z = 175/11 + 70/11
z = 245/11
z = 22.2727 which is approximate
Let D = 22.2727

------------------

In summary, we found
A = 25
B = 21
C = 39
D = 22.2727

The value C = 39 is the largest of the four results. This value corresponded to (x,y) = (3,9)

Therefore the max value of z is z = 39 and it happens when (x,y) = (3,9)

------------------

Final Answer: 39

You might be interested in
Which inequality will have a dashed boundary line with a shaded area above its graph? 7x − y ≤ 3 x − y ≤ 4 2x − 9y > 2 4x + 7
alexdok [17]
Above the graph

look at them

7x-y <span><</span>3
x-y<span><</span>4
2x-9y>2
4x+7y>3

dashed boundary line means it does't include htat means taat the symbol is < or >

cross out first 2

one way is to graph the lines as equations and shade accordingly

2x-9y>2
y<2/9x+2/9
shade on bottom

4x+7y>3
y>-7/4x+3/9
shade on top


aswer is 4x+7y>3
5 0
4 years ago
Please someone solve this problem <br>I really need answers ​
yulyashka [42]

Answer:

x = 50°

y = 50°

z = 80°

Step-by-step explanation:

working out x:

angles on a straight line add up to 180°

x + 130° = 180°

subtract 130 on both sides

x = 180° - 130°

x = 50°

working out y:

two vertical lines means that both sides are equal, so both angles are also equal (it's an isosceles triangle). This means that y is the same angle as x = 50°

y = 50°

working out z:

the sum of a triangle add up to 180°

add up the angles of x and y and equate to 180°

50 + 50 + z = 180

100 + z = 180

subtract 100 on both sides

z = 180 - 100

z = 80°

8 0
2 years ago
What is 25/50 in lowest terms?
neonofarm [45]
1/2 because 25 ÷ 25 = 1 and 50 ÷ 25 = 2 
6 0
4 years ago
Question 6 of 10 The triangles shown below may not be congruent. 1) 25° 55° 100° 100° 66° 25° O A. True O B. False​
Blizzard [7]

Answer:

True, they may not be congruent

Step-by-step explanation:

A figure cannot be determined as congruent from three angles alone. In order  for two shapes to be congruent, all corresponding parts must be congruent. This means all the sides and angles of the two shapes must be the same in order for the two shapes to be congruent. If we know all the angles are the same, the sides could still be different lengths, so this does not prove congruency.

5 0
3 years ago
Solve 8 = 2^x + 4 <br> x=-4 <br> x=-1<br> x=0<br> x=7
marin [14]

Answer:

x=-1

Step-by-step explanation:

because 2^3 is 8

and when you do -1+4 you get left with 3

so x=-1

5 0
3 years ago
Read 2 more answers
Other questions:
  • A certain city has 126,000 square miles. The population of this city is 683,000 people
    10·1 answer
  • Mrs. Wallace bought a $125,000 CD with a term of 3 years. How much will she earn in 3 years?
    11·1 answer
  • Pizza Land delivered 144 pizzas in 8 hours on Saturday at that rate, how many pizzas can they deliver in 3 hours
    7·1 answer
  • Find the area of each trapezoid. Round to the nearest tenth if necessary.
    11·1 answer
  • What is the greatest integer $x$ for which $\frac79 &gt; \frac{x}{13}$?
    6·1 answer
  • Camilla, Lincoln and Ella sat a French test. The test was marked out of 200 Camilla got 4/5 of the 200 marks. Lincoln got 44% of
    11·1 answer
  • Factorise.... l will give brainliest​
    7·2 answers
  • Kevin has $50 and wants to buy some art paper and paints. One pack of art paper costs $12, and the paints cost $6 per tube. He b
    6·2 answers
  • Choose two ecspresstion that are eqilivent to 5 (3a+4b)
    10·1 answer
  • Please help need now will give brainlest if work is shown<br><br> r÷(-8)=5
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!