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
Crazy boy [7]
3 years ago
11

Please Help ASAP! Will name Brainliest! Question: Minimize the objective function P = 5x + 8y for the given constraints. x ≥ 0 y

≥ 0 2x + 3y ≥ 15 3x + 2y ≥ 15 Answer: 25, 46, 39, 37.5

Mathematics
1 answer:
maksim [4K]3 years ago
3 0

Answer:

Option D.

Step-by-step explanation:

Minimize the objective function P = 5x + 8y for the given constraints.

x\geq 0,y\geq 0

2x+3y\geq 15

3x+2y\geq 15

The related equations of above inequalities are

2x+3y=15

3x+2y=15

For 2x+3y=15,

x     y

0     5

7.5   0  

Plot (0,5) and (7.5,0) and join them by straight line.

For 3x+2y=15,

x     y

0     7.5

5      0  

Plot (0,7.5) and (5,0) and join them by straight line.

Check the inequalities for (0,0).

2(0)+3(0)\geq 15\Rightarrow 0\geq 15 False

3(0)+2(0)\geq 15\Rightarrow 0\geq 15 False

It means both lines are solid lines and shaded region for each lies opposite side of (0,0).

From the below graph it is clear that the vertices of feasible region are (0,7.5), (3,3), (7.5,0).

Point       P = 5x + 8y

(0,7.5)     P=5(0)+8(7.5)=60

(3,3)     P=5(3)+8(3)=15+24=39

(7.5,0)     P=5(7.5)+8(0)=37.5 (Minimum)

So, minimum value is 37.5.

Therefore, the correct option is D.

You might be interested in
Find the product -3,-4.-2.5
Assoli18 [71]

Answer:

-30

Step-by-step explanation:

-3(-4)(-2.5)

Apply rule -(-a) = a

=-3*4*2.5

Multiply the numbers: 3*4*2.5=30

=-30

6 0
3 years ago
Help plzzzzzzzzzzzz thank u
baherus [9]

Answer: 77

Step-by-step explanation:

3 0
2 years ago
D = 4ac - b²<br><br>true or false<br><br>Answer:<br><br>Reason:​
Naily [24]

Answer: FALSE

Reason: The Discriminant determines how many or what are the nature of the roots. To get the Discriminant of a quadratic equation, find the square the value of 'b' subtracted to the product of 4, the value of 'a', and the value of 'c'.

<h2>D - b² - 4ac</h2>

hope this helps :)

4 0
3 years ago
Read 2 more answers
39*10*100*1,000*0+37???? HELPPP
FromTheMoon [43]

Answer:

37

Step-by-step explanation:

Anything multiplied by 0 is 0 then you just add the 37

5 0
2 years ago
You and a friend are driving go-karts on two different tracks. As you drive on a straight section heading east, your friend pass
yKpoI14uk [10]
No they cross each other like a highway. You are on the underpass and your friend passes over you. As in, they are crossing a bridge & you are below them.
5 0
3 years ago
Other questions:
  • Carmen hiked at Yosemite national park for 1.25 hours. Her average speed was 3.9 miles per hour. How many miles did she hike? Gi
    13·1 answer
  • Which shows the pre-image of triangle X’Y’Z’ before the figure is rotated 90° about the origin
    10·2 answers
  • Determine if the sequence below is arithmetic or geometric and determine the
    5·1 answer
  • Please help!<br> A- answer as a percent rounded to nearest tenth<br> B- answer as a fraction
    13·1 answer
  • 1/3 the weight of beef and 1/4 the weight of chx make up 54 3/4 pounds of meat he has. if he has a total of 194 1/2 pounds of be
    14·1 answer
  • The Lone Star Shipping Company charges $14 plus $2 a pound to ship an overnight package. Discount Shipping Company charges $20 p
    8·1 answer
  • One number is 3 more then twice another. The sum of the numbers is 12
    5·1 answer
  • OF
    8·1 answer
  • I will give brainiest to whoever answers correctly !!
    13·1 answer
  • Someone help me plz:
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!