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
GalinKa [24]
3 years ago
12

You operate a gaming website, www.mudbeast.net, where users must pay a small fee to log on. When you charged $4 the demand was 5

40 log-ons per month. When you lowered the price to $3.50, the demand increased to 810 log-ons per month. (a) Construct a linear demand function for your website and hence obtain the monthly revenue R as a function of the log-on fee x. R(x) = (b) Your Internet provider charges you a monthly fee of $30 to maintain your site. Express your monthly profit P as a function of the log-on fee x. HINT [See Example 4.] P(x) = Determine the log-on fee you should charge to obtain the largest possible monthly profit. x = $ What is the largest possible monthly profit? $
Mathematics
1 answer:
sertanlavr [38]3 years ago
5 0
A) Demand function

price (x)          demand (D(x))

4                      540

3.50                  810

D - 540          810 - 540
----------- =  -----------------
x - 4               3.50 - 4

D - 540
----------- = - 540
x - 4

D - 540 = - 540(x - 4)

D = -540x + 2160 + 540

D = 2700 - 540x

D(x) = 2700 - 540x

Revenue function, R(x)

R(x) = price * demand = x * D(x)

R(x) = x* (2700 - 540x) = 2700x - 540x^2

b) Profit, P(x)

profit = revenue - cost

P(x) = R(x) - 30

P(x) = [2700x - 540x^2] - 30

P(x) = 2700x - 540x^2 - 30

Largest possible profit => vertex of the parabola

vertex of 2700x - 540x^2 - 30

When you calculate the vertex you find x = 5 /2

=> P(x) = 3345

Answer: you should charge a log-on fee of $2.5 to have the largest profit, which is $3345.




You might be interested in
10^2= ?<br> If you like Rollercoaster vids pls subscribe to SR Vlogs (Rollercoasters) on yt ❤️❤️
Kaylis [27]

Step-by-step explanation:

HII ANY CU.TE GI.RL HERE

just for cu.te gi.rls and B.ts army

come here

adn duiv zcm ( just for cut.ies)

ur welcome ❤

I'll subscribe

8 0
3 years ago
Read 2 more answers
Kelvin saves $60 a day. Al saves $90 a day. How many times Kelvin's savings are Al's savings?
vaieri [72.5K]
How many times Kevin's savings are al's savings is 30 more
5 0
3 years ago
Read 2 more answers
Figure ABCD is transformed to obtain figure A′B′C′D′:
Kisachek [45]

Step-by-step explanation:

part A:

ABCD is transformed to obtain figure A′B′C′D′:

1) by reflection over x-axis, obtain the image :

A(-4,-4) B(-2,-2) C(-2, 1) D(-4, -1)

2) by translation T (7 0), obtain the image :

A'(3,-4) B'(5,-2) C'(5, 1) D'(3, -1)

part B:

the two figures are congruent.

the figures that transformed by reflection either or translation will obtain the images with the same shape and size (congruent)

6 0
3 years ago
Which expression is equivalent to b + b - 0.56b?
Alexxx [7]
Hey there!

“Which expression is equivalent to b + b – 0.56b?”

• “b” or any other letter value is considered an “unknown number” so usually we label it/them as an invisible 1

• COMBINE the LIKE TERMS

(b + b – 0.56b)

(1b + 1b – 0.56b)
1b + 1b = 2b
2b – 0.56b = 1.44b

• Therefore, b + b – 0.56b is equivalent to 2b + 0.56b

Possible answer that you could be looking for: 2b + 0.56b ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)
4 0
3 years ago
PLEASE HELP I WILL MARK BRAINLEST 20 POINTS<br> what would be x in this ordered pair (3 -8)
telo118 [61]

Answer:

3

Step-by-step explanation:

X goes first

4 0
3 years ago
Read 2 more answers
Other questions:
  • Write the following numbers in order from least to greatest.
    9·1 answer
  • How do you know if a rate of change is positive or negative?
    5·1 answer
  • Solve for b and explain step by step please:<br> 12b=8b+16
    7·2 answers
  • Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit
    5·1 answer
  • Seema bought a new pair of jeans that were on sale the original price of jeans was $56 the store had marked them down by 25% and
    9·2 answers
  • NEED HELP ASAP ITS TIMED PLEASE HELPPP MEEE❗️❗️
    5·1 answer
  • Kristoff worked 5 hours and earned $36.25. if his last paycheck was $797.50, how many hours did he work?
    10·1 answer
  • 15 POINTS FOR THE BRAINLIEST
    15·2 answers
  • 13.92 x 2.7≈ What’s the answer?
    12·1 answer
  • Used cross multiplying to solve 4/9 = r-3/6​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!