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
mart [117]
3 years ago
5

Find two positive numbers such that the sum of the first and twice the second is 56 and whose product is a maximum

Mathematics
1 answer:
Svetlanka [38]3 years ago
5 0
Let 
x-------> the first number
y-------> the second number
P-----> product

we know that
x+2y=56----------> 2y=56-x-----> y=28-0.5x------> equation 1
P=x*y----> equation 2

substitute equation 1 in equation 2
P=x*[28-0.5x]-----> P=28x-0.5x²

using a graph tool
see the attached figure
the vertex is the point (28,392)
that means
for x=28
the product is 392    (maximum) 
find the value of y
y=28-0.5x----> y=28-0.5*28----> y=14

the answer is
the numbers are 28 and 14

You might be interested in
Burnwood Tech plans to issue some $50 par preferred stock with a 8% dividend. A similar stock is selling on the market for $65.
Vanyuwa [196]

Answer:

6.5%

Step-by-step explanation:

The formular used to calculate the cost of preferred stock is:

= Fixed dividend/Net proceeds

Fixed dividend= $50 × 8/100

= $50×0.08

=$4

Net proceeds= Market price-Flotation costs

= $65-(6/100×$65)

= $65-(0.06×$65)

= $65-3.9

= $61.1

Therefore cost of preferred stock is

= 4/61.1 ×100

= 0.065×100

= 6.5%

Hence the cost of preferred stock is 6.5%

8 0
3 years ago
30
storchak [24]

Answer:

what does 30 yldpri the linear relationship have do with it

Step-by-step explanation:

7 0
3 years ago
The storage space of a moving truck is in the shape of a rectangular prism. The dimensions are 6 feet wide, 10 feet long, and 6
Karolina [17]
Forgive if I am wrong, but I think the answer is 360 feet cubed 
3 0
3 years ago
Read 2 more answers
Four friends went scuba diving today. Ali dove 70 feet, Tim went down 50 feet, Carl dove 65 feet and Brenda reached 48 feet belo
Yanka [14]

Brenda, Tim, Carl, Ali

3 0
3 years ago
Read 2 more answers
Please help asap rocky, I think im giving 40 points for this!
Ivanshal [37]

Answer:

this kid gryson is deleting my answer and i dont know how when they arent even his questions and he is being a little brat

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • The ratio of red cars to blue cars in a parking lot was 5:3 if there were 40 red cars how many blue cars would there be
    9·1 answer
  • My final balance after 48 months was $896.00. if i bring back originally put$800.00 into the bank, what was the interest rate?
    11·1 answer
  • What is another word for rotation?<br><br> A. Slide<br><br> B. Turn<br><br> C. Fall<br><br> D. Flip
    9·2 answers
  • A student number system for a county requires that the student number be 5 characters.
    5·1 answer
  • Is 7/8 or 11/10 closer to 1? How did you decide anybody help please?
    13·2 answers
  • 44% of what number is 25?
    9·2 answers
  • 12a + 12b + 12c + 12d Michael writes the expression shown here as 12(a + b + c + d). He is correctly using the ___________ prope
    15·1 answer
  • Arthur purchased a 2010 model sedan for $20,000. The dealership offered
    9·1 answer
  • Pablo made a dot plot and histogram to show how many times last month each student in a class
    12·1 answer
  • Estimate the difference of 621 - 267<br> by rounding to the nearest hundred.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!