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
Rina8888 [55]
3 years ago
9

A sales team estimates that the number of new phones they will sell is a function of the price that they set. They estimate that

if they set the price at x dollars, they will sell f(x)=1220−5x phones. Therefore, the company's revenue is x⋅(1220−5x). Find the price x which will maximize the company's revenue.
Mathematics
1 answer:
noname [10]3 years ago
3 0

Answer:

$122

Step-by-step explanation:

If we want the maximized value, we need to differentiate the function and set it equal to 0, then solve for x.

We want to maximize revenues, so we call the revenue function r(x) and differentiate, equate to 0, and solve:

r(x)=x(1220-5x)\\r(x)=1220x-5x^2\\r'(x)=1220-10x\\0=1220-10x\\10x=1220\\x=122

Thus, $122 will maximize the revenue.

You might be interested in
Ab + 2b²<br> where<br> a = 7 b=4
Veronika [31]

Answer:

60

Step-by-step explanation:

a=7\\b=4\\ab+2b^2\\(7)*(4)+2*(4)^2\\28+2*16\\28+32\\=\fbox{60}

7 0
1 year ago
F(x)=<img src="https://tex.z-dn.net/?f=%28x%2B1-%7Cx-1%7C%29%2F2" id="TexFormula1" title="(x+1-|x-1|)/2" alt="(x+1-|x-1|)/2" ali
katrin [286]

Answer:

  f(g(x))=\dfrac{|x|+1-||x|-1|}{2}

Step-by-step explanation:

The most straightforward way is direct substitution of g(x) for x in f(x):

  f(g(x))=\dfrac{|x|+1-||x|-1|}{2}

8 0
3 years ago
A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given b
Olegator [25]

Answer:

Number of ovens must be manufactured in a given week to generate a profit of $1610  is 70

Step-by-step explanation:

We are given

A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given by the formula

P=\frac{1}{10}x(300-x)

provided that 0 ≤ x ≤ 200

We are given

profit is $1610

so, we can set P=1610

and then we can solve for x

1610=\frac{1}{10}x(300-x)

Multiply both sides by 10

1610\cdot \:10=\frac{1}{10}x\left(300-x\right)\cdot \:10

16100=x\left(300-x\right)

16100=300x-x^2

-x^2+300x-16100=0

now, we can factor it

(x-70)(x-230)=0

we can solve for x

and we get

x=70,x=230

Since, x=230 does not lie on 0 ≤ x ≤ 200

So, we will consider only x=70

So,

Number of ovens must be manufactured in a given week to generate a profit of $1610  is 70


7 0
3 years ago
Question 1 Draw a line through the point (−2,−2) with a slope of 1/4. Draw a line through the point (2, 0) with a slope of 1/4.
Natasha2012 [34]

Answer:

line1:y=\frac{1}{4}x-\frac{3}{2}

line2:  y=\frac{1}{4}x -\frac{1}{2}

Step-by-step explanation:

4 0
2 years ago
Estimate 3 2/5 to the nearest integer
pickupchik [31]

4 is the nearest integer

as a decimal this number would be 3.5, which would round up to 4.

8 0
3 years ago
Other questions:
  • 5 - 3/13.<br> A. 1 2/3<br> B. 2 2/3<br> C. 3 1/3<br> D. 2 1/3
    11·1 answer
  • I need help with this problem #8 ignore the scribbles
    13·1 answer
  • I need to know this asap!
    10·1 answer
  • I would hate to ask another question but Avery had $25.63 in her wallet. If she bought lunch with 7 1/4 dollars from her wallet,
    12·2 answers
  • Please help quickly
    6·2 answers
  • Lisa’s cameras has 2,048 megabytes of memory for storing pictures. She already used half this amount. A high-quality pictures us
    8·1 answer
  • What is the third term of the sequence ? An=3•2^ (n-1)
    10·1 answer
  • Solve for p.<br> 8 = = 4(p – 17)<br> p =
    8·1 answer
  • What is the length of CF?
    12·2 answers
  • Mathematics I need help
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!