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
Luden [163]
2 years ago
15

a manufacturer can produce a color pen at a cost of $3. the color pens have been selling for $5 per pen and at this price, consu

mers have been buying 4000 pens per month. the manufacturer is planning to raise the price of the pens and estimates that for each $1 increase in price, 400 fewer pens will be sold each month. at what price should the manufacturer sell the pen to maximize profit? what is the maximum profit?
Mathematics
1 answer:
Serjik [45]2 years ago
7 0
Let x be the number of increases of $1 a month.
Let y be the maximum profit.
The profit before the price increases:
$5-$3=$2
The profit when increasing the price:
y= (2+x x 1)(4000-400x)
y= 8000-800x +4000x -400x2             (x2: x square)
The vertex:
x= -3200/(-400 x 2) = 4
=> y= 14400
The price can maximize the profit is:
p= 3+ 2 +4x1= 9
The price can maximize the profit is $9
The maximum profit is $14400.
You might be interested in
Susan deposited $275 in a savings account that earns simple interest at a rate of 4.5%. She made no additional deposits and no w
Tresset [83]

Answer: 12 years

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Someone help or nah?
cricket20 [7]

Answer:

25

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Is the spinner shown a fair spinner?Explain why or why not.​
enyata [817]

Answer:

a

Step-by-step explanation:

4 0
2 years ago
Please help ASAP!!!!!!
N76 [4]

Step-by-step explanation:

To calculate the volume of a pyramid with a rectangular base, find the length and width of the base, then multiple those numbers together to determine the area of the base. Next, multiply the area of the base by the height of the pyramid. Take that result and divide it by 3 to calculate the pyramid's volume!

4 0
3 years ago
the college textbook this year was 197. the following year it was 222. what is the percent change in the price of the book HEEEE
romanna [79]
197 divided 222 = 0.88% = 88%
3 0
3 years ago
Other questions:
  • What is 1.64 as a fraction
    10·2 answers
  • Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the normal prob
    6·1 answer
  • Find the work done by a force of 4 pounds acting in the direction of 41° to the horizontal in moving an object 5 feet from (0, 0
    6·1 answer
  • Proper and improper fractions with shaded in
    11·1 answer
  • Is this 2/9 I need help
    13·1 answer
  • Find the value of x in each case:
    14·1 answer
  • 9.) x2 - 6x + 25 = 0 <br> Using the Quadratic Formula
    7·1 answer
  • 50 POINTS
    8·1 answer
  • Solve for angle x please help fast
    15·2 answers
  • Sin (3x)cos(6x) - cos (3x) sin(6x)=-0.9
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!