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
nordsb [41]
3 years ago
6

n your computer store you charge $1012 per computer sold. Your costs are given by the equation C(x) = 4x^2 + 4x - 80 where x is

the number of computers sold. Find the maximum profit.
Mathematics
1 answer:
ella [17]3 years ago
3 0

Answer:

63568 dollars

Step-by-step explanation:

Given that in your computer store you charge $1012 per computer sold. Your costs are given by the equation

C(x) = 4x^2 + 4x - 80

where x is the number of computers sold.

Revenue = sales price *no of computers sold

= 1012x

Profit = Revenue - cost

= 1012x-( 4x^2 + 4x - 80)\\= 1008x-4x^2+80\\

Use derivative test to find maximum profit

C'(x) = 1008-8x \\C''(x)= -x

Equate I derivative to 0

x= 128

i.e. if 128 computers are manufactured and sold profit wouldbemaximum

Profit maximum=1008(128)-4(128)^2+80\\=63568

You might be interested in
What are the steps to solve for: 1/5(x+5)=1/4(x-3)+1
andrew11 [14]
Step 1. Simplify \frac{1}{5} (x+5) to \frac{x+5}{5}

\frac{x+5}{5} = \frac{1}{4} (x-3)+1

Step 2. Simplify \frac{x+5}{5} to 1+ \frac{x}{5}

1+ \frac{x}{5} = \frac{1}{4} (x-3)+1

Step 3. Simplify \frac{1}{4} (x-3) to \frac{x-3}{4}

1+ \frac{x}{5} = \frac{x-3}{4} +1

Step 4. Cancel 1 on both sides

\frac{x}{5} = \frac{x-3}{4}

Step 5. Multiply both sides by 20 (the LCM of 5,4)

4x=5(x-3)

Step 6. Expand

4x=5x-15

Step 7. Subtract 5x from both sides

4x-5x=-15

Step 8. Simplify 4x-5x to -x

-x=-15

Step 9. Multiply both sides by -1

x=15

Done! :) Hope this helps! :)








3 0
3 years ago
What is the value of p?
Misha Larkins [42]

Answer:

D. 43°

Step-by-step explanation:

interior angle to 90°=90°

interior angle to 133°=47°

p=180°-47°-90°=43°

please mark as brainliest

7 0
3 years ago
4 +y = 12. Substitute 8 for x.
Alexeev081 [22]

Answer:

where should I substitute 8 for x? if its like this 4(8)+y=12 than its y=-20

Step-by-step explanation:

8 0
3 years ago
Maggie's brother is 11 years younger than three times her age. The sum of their ages is 41.
brilliants [131]

Answer:

Maggie is 13 years old.

Step-by-step explanation:

The explanation is attached.

3 0
2 years ago
How many terms in the algebraic expression 5x4+6x3-2x+7
Tju [1.3M]

Answer:

4 Terms.

Step-by-step explanation:

5x4

6x3

-2x

7 are all of the terms in the expression.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Answer to this please with EXPLANATION! BIG POINTS!!!
    11·2 answers
  • The ratio of secondary turns to primary turns in a transformer is 37 to 4. How many secondary turns are there if the primary coi
    8·1 answer
  • A bag contains both black and red marbles. The ratio of black to red marbles is 3:4.
    12·1 answer
  • How do you find the area of a triangular prism
    15·2 answers
  • Which numbers are necessary to solve this problem?
    14·2 answers
  • The line plot below shows the distances of discus throws in a contest.
    7·1 answer
  • What is the GCFof 100 and 20 to
    10·2 answers
  • Bananas are $0.59/pound, what is the constant of proportionality?
    5·1 answer
  • Three good friends are in the same algebra class. Their scores on a recent test are three consecutive integers whose sum is 252
    7·1 answer
  • the first term of an arthimetic sequence is 42 the rule an= an-1 +8 can 1 can be used explain how to write explict rules
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!