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 equation of the line that<br> is parallel to y = 5x – 4 and<br> contains the point (4,5).
lilavasa [31]

Answer:

y = 3+1/2

that should be the answer

6 0
2 years ago
4 sailboats to 12 motorboats
lukranit [14]

Answer:

4:12

Step-by-step explanation:

I think you asked for a ratio?

8 0
2 years ago
How can you tell if a number is divisible by 4?
Grace [21]
<span>D. The last two digits of the number are divisible by 4. </span>
5 0
3 years ago
Pls u people should help me put in this maths fast solve​
mamaluj [8]

Well, you have to ask the question first.

6 0
2 years ago
X^3+13x^2+32x+20<br> please help me factorizing above equation
Mazyrski [523]
x^3+13x^2+32x+20=x^3+x^2+12x^2+ 12x+20x+20 =\\\\=x^2(x+1)+12x(x + 1 )+20(x+1 )=(x+1)(x^2+12x+20)=\\\\=(x+1)[(x^2+10x+2x+20)]=(x+1)[x(x +10)+2(x+10))]=\\\\=(x+1) (x +2) (x+10)


7 0
3 years ago
Other questions:
  • Need help with number 15 please help
    11·1 answer
  • Please help me solve x
    5·1 answer
  • Sixteen students in a drama club want to attend a play. The tickets price is $35 for each student and the transportation and mea
    14·1 answer
  • The National Center for Health Statistics reported that of every 883 deaths in recent years, 24 resulted from an automobile acci
    9·1 answer
  • Lily has a piece of ribbon that measure 3 yards 4 inches. She cuts the ribbon into 4 equal pieces. What is the length, in inches
    13·1 answer
  • What will be the coordinates of point A if figure ABCD is reflected across the x-axis?​
    12·1 answer
  • How to solve this problem
    7·1 answer
  • Write the equation of the line passing through the points (-2,8) and (-8,2).
    5·2 answers
  • 5. You are scheduling your classes for next year. There are 4 required classes: a physical education
    15·1 answer
  • What is (r/s)(3)=? xxxx
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!