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
WARRIOR [948]
11 months ago
11

A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are

Mathematics
1 answer:
skelet666 [1.2K]11 months ago
5 0

A) The maximum revenue is 450000$

B) The maximum profit is 216000$ when 2400 sets are manufactured and sold for 180$ each

C) When each set is taxed at ​$55​, the maximum profit is 99125$ when 1850 sets are manufactured and sold for 207.5$ each.

A)p(x)=300−(x/20​),

revenue R(x)=p*x

revenue R(x)=300x -(x2/20)

for maximum revenue dR/dx =0 ,

=>300-(2x/20)=0

=>x/10=300

=>x=3000

maximum revenue = R(3000)=300*3000 -(30002/20)

maximum revenue = R(3000)=450000$

B) profit =revenue -cost

profit P(x)=300x -(x2/20)-72000-60x

profit P(x)=240x -(x2/20)-72000

for maximum cost dP/dx =0

240 -(2x/20)=0

x=240*10

x=2400

p(2400)=300−(2400/20​)=180

profit P(2400)=240*2400 -(24002/20)-72000 =216000

The maximum profit is 216000$ when 2400 sets are manufactured and sold for 180$ each

c)

profit =revenue -cost -tax

profit P(x)=300x -(x2/20)-72000-60x-55x

profit P(x)=185x -(x2/20)-72000

for maximum cost dP/dx =0

185-(2x/20)=0

x=185*10

x=1850

p(1850)=300−(1850/20​)=207.5

profit P(1850)=185*1850 -(18502/20)-72000

profit P(1850)=99125$

When each set is taxed at ​$55​, the maximum profit is 99125$ when 1850 sets are manufactured and sold for 207.5$ each.

To know more about maximum profit check the below link:

brainly.com/question/4166660

#SPJ4

You might be interested in
Can someone solve this
Gemiola [76]

Answer:

f(h(-1)) = -1

Step-by-step explanation:

f(x) = (x-4)/3

h(x) = 3x + 4

f(h(-1)) = ?

So first off we need to solve for h(-1):

h(x) = 3x + 4

h(-1) = 3(-1) + 4

h(-1) = 1

Next, we plug this value into the f(x) equation:

f(x) = (x-4)/3

f(1) = (1-4)/3

f(1) = -1

f(h(-1)) may look confusing but it is just f(x) with x being the resulting value for h(-1)

Thus we can say that f(h(-1)) is equal to -1

8 0
2 years ago
What is sqare root of 64​
Ghella [55]

Answer:

square root of 64

√64 =8,,

7 0
2 years ago
Read 2 more answers
Simplify the expression -3 (b-7)
Nataliya [291]
Simply distribute the -3 across the b and -7.

-3(b - 7) = (-3 * b) + (-3 * -7) = -3b + 21

Hope this was helpful, if it wasn't just drop me a DM explaining what didn't make sense.
5 0
3 years ago
Solve for n. (10 5/8 + 3 5/8) + 2 3/8 = n + 12
Brums [2.3K]
I think n is 9 hope i helped 
8 0
3 years ago
Read 2 more answers
PLEASE HELP!! // True Or False ?
Nataliya [291]

Answer:

1. TRUE

2. False

3. TRUE

4. False

5. TRUE

6. False

Step-by-step explanation:

1. 6859^(1/3) = 19 = ∛(19^3)

__

2. 2197^(1/3) = 13 ≠ 9·2

__

3. 8000^(1/3) = 20 = 10·2

__

4. 9261^(1/3) = 21 ≠ 13

__

5. 3375^(1/3) = 15 = 5·3

__

6. 5832^(1/3) = 18 ≠ 3·7

7 0
3 years ago
Read 2 more answers
Other questions:
  • He was a Jamaican-American Civil Rights activist who was part of the "Back to Africa" movement of the early 20th century and fou
    13·1 answer
  • A drop of water from a special dropper is 3 ml. How many liters is this? 30 0.3 0.03 0.003
    14·2 answers
  • Anwser. Anwser. Answer. Anwser
    13·2 answers
  • the school band sold 3,305 raffle tickets to raise money for a trip to disney world. which equation shows the relationship betwe
    5·1 answer
  • Mike’s mom made a batch of soup that was 8 4/5 cups. Each serving is 1 1/2 cups. How many servings of soup did Mike’s mom make?
    10·1 answer
  • Which equation is the equivalent to -k + 0.03 + 1.01k = -2.45 - 1.81k​
    8·1 answer
  • I am confused on what I am supposed to do on this problem.
    13·1 answer
  • The legend on a map states that
    14·1 answer
  • How can you subtract similar fraction,dissimilar fraction and mixed number?​
    14·2 answers
  • The graph of which function(s) will contain the point (2, 10)?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!