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
zvonat [6]
3 years ago
15

What is the maximum value of the objective function, P, with the given constraints?

Mathematics
1 answer:
maksim [4K]3 years ago
8 0

Answer:

Option C - 420

Step-by-step explanation:

Given : Objective function, P, with the given constraints

P=20x+35y

Constraints,

x+y \leq 12

5x+y \leq 20\\x \geq 0\\y \geq 0

To find : What is the maximum value

Solution :

First we plot the graph through the given constrains.

As they all move towards the origin the common region of the equations is given by the points (0,0), (0,12), (2,10), (4,0)

Refer the attached figure.

So, we put all the points in P to, get maximum value.

P=20x+35y

  • Point (0,0)

P=20(0)+35(0)=0

P=20x+35y

  • Point (0,12)

P=20(0)+35(12)=420

  • Point (2,10)

P=20(2)+35(10)=40+350=390

  • Point (4,0)

P=20(4)+35(0)=80

Therefore, The value is maximum 420 at (0,12)

So, Option C is correct.

You might be interested in
Rewrite V=lwh to isolate the variable w then the literal equation becomes w=v/lh true or false
Oduvanchick [21]

Answer:

True

Step-by-step explanation:

V=lwh\\\\lwh=V\\\\\frac{lwh}{lh}=\frac{V}{lh}\\\\  \boxed{w=\frac{V}{lh}};  l\neq  0

The answer should be true.

5 0
3 years ago
A shipment contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks. If 7 rocks are selected at random, find the probability t
yKpoI14uk [10]

Answer:

75 percent

Step-by-step explanation:

see the thing is

7 0
2 years ago
PLEASE HELP!! 20 POINTS!<br> - ✓ 81+ ✓–49 + ✓ 25+ ✓-1
laiz [17]

Answer:

Step-by-step explanation:

=-9+7i+5+i

=-4+8i

5 0
3 years ago
Read 2 more answers
What is this Method???
Rina8888 [55]
Standard algorithm i think 
<span />
3 0
3 years ago
Read 2 more answers
I need help on this
Alisiya [41]
2. rhombus

3. rectangle

4. parallelogram 

5.trapezoid

6.quadrilateral


6 0
3 years ago
Read 2 more answers
Other questions:
  • Is the system of equations consistent, consistent and coincident, or inconsistent? y=3x+4y=3x+3
    7·1 answer
  • Sue can run 18 miles in 2 hours and can bike 60 miles in 3 hours. What percent of Sue's average biking speed is her average runn
    7·2 answers
  • Jonathan replaced the original factory tires (P220/65 R 18) on his pickup truck with (P255/60 R 17) tires. Calculate the circumf
    10·2 answers
  • One exterior angle of a regular polygon measures 30 degrees. How many sides does the polygon have?
    8·1 answer
  • The graph for the function f(x) = -4 |x+2|+4 is shown below​
    6·1 answer
  • What is 2(x+10)=2(3x-8)
    12·2 answers
  • Classify the statement as either true or false.
    7·1 answer
  • Jane has 18 juice boxes, 24 bags of peanuts and 36 apples. She wants to make snack bags with same number of each thing in each b
    11·1 answer
  • A laptop computer is purchased for $1350. After each year, the resale value decreases by 35%. What will the resale be after 3 ye
    9·1 answer
  • <img src="https://tex.z-dn.net/?f=x%5E%7B-1%7D" id="TexFormula1" title="x^{-1}" alt="x^{-1}" align="absmiddle" class="latex-form
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!