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
harina [27]
3 years ago
9

The revenue function for a bicycle shop is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x)=800−0.5x is

the unit price. Find the maximum revenue.
Mathematics
1 answer:
Semenov [28]3 years ago
8 0

Answer:

The maximum revenue is $320,000

Step-by-step explanation:

To find the maximum of a function f, the procedure is as follows:

  • Find the first derivative of f.
  • Equate the derivative to 0. Solve the resulting equation to get the critical points.
  • Try all the critical points in the original function and select the one that maximizes it.

The revenue function for a bicycle shop is

R(x)=xp(x), where p(x)=800-0.5x. Substituting:

R(x)=x(800-0.5x)=800x-0.5x^2

Find the first derivative of R:

R'(x)=800-x

Equate to 0:

800-x=0

Solve:

x=800

There is only one critical point. Substitute it into the revenue function:

R(800)=800(800)-0.5(800)^2=320,000

The maximum revenue is $320,000

You might be interested in
Factor out the GCF for 21x^3y^2 - 7x^2y + 42xy
Phantasy [73]
 Factor out the GCF<span>: </span>21x3y2<span> - 7x2y + </span>42xy<span> 5.)</span>Factor: 3x2 ... 4) 21x^3y^2-7x^2y+42xy<span> It looks as though x and y are common and 7 is common

</span>
6 0
4 years ago
Construct the perpendicular bisector for the segment in the following figure. What process did you use? Explain.
babymother [125]

Answer:

Perpendicular bisector for the given segment AB is shown below.

Step-by-step explanation:

Construction steps for the perpendicular bisector for the given segment AB are:

1. Open your compass more than half of the distance between end points of the given segment, i.e., A and B.

2. Place the compass on point A and mark two arc on each side of line segment AB.

3. Place the compass on point B and mark two arc on each side of line segment AB, which intersect the previous arcs.

4. Arcs meet at two points. Mark them C and D.

5. Draw the line between C and D.

The perpendicular bisector for the given segment AB is shown below.

6 0
3 years ago
What is 2478 rounded to the nearest thousand​
Mariana [72]

Answer:

2000

Step-by-step explanation:

The number in the next place, the hundreds place, is 4, which is less than 5. Therefore, you round down, to 2000.

I would appreciate Brainliest, have an amazing day!

4 0
3 years ago
Read 2 more answers
Why does 6 over 2=3 (6/2=3?<br><br> ʕ•ᴥ•ʔ
PIT_PIT [208]

Answer:

yes

Step-by-step explanation:

2+2+2=6

3+3=6

5 0
4 years ago
Read 2 more answers
Jeanie has a 3/4 yard peice of ribbon. She needs one 3/8 yard piece and one 1/2 yard piece. Can she cut the piece of ribbon into
sdas [7]
No,if you add 1/2 and 3/8 you get 7/8 which is greater than the original 3/8
5 0
3 years ago
Other questions:
  • an adult human body has a total of 206 bones there are 300 bones in a child's body how many more are in a child's boy
    8·1 answer
  • Jim is entering kennywood with 5 of his friends. At the gate they must go through a turnstile one at a time. How many ways can J
    7·1 answer
  • Free points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    13·2 answers
  • The ratio of 40 flowers for 5 vases
    5·2 answers
  • Someone help me<br>10-14x-7-7x=6​
    8·2 answers
  • the depth underwater,d, in meters, of Daisy the dolphin during a dive can be modelled by d=0.1t^2 - 3.5t +6, where t is the time
    13·1 answer
  • Why is it valid to say that both a function and its inverse describe the same relationship
    5·1 answer
  • Justify each step of the solution by stating the property that was used to get to each step.
    5·1 answer
  • Solve all and: (will give brainly QUICKLEY FOR BEST ANSWERS!!
    15·2 answers
  • Help please. See photo
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!