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
VashaNatasha [74]
3 years ago
12

A local company manufactures netbook computers. Their profit function is given by this equation: y equal minus x to the power of

2 plus 120 x plus 3000 where x is the number of netbooks produced in one day and y is the profit (in dollars) the company makes that day. What is the maximum profit that the company can make? (Hint: Find the vertex of the parabola.)
Mathematics
2 answers:
zubka84 [21]3 years ago
8 0

Answer: $6,600

Step-by-step explanation:

Given: The profit function is given by the equation:

y=-x^2+120x+3000,where x is the number of netbooks produced in one day and y is the profit (in dollars) the company makes that day.

To find the maximum profit, first we need to find critical point of the function.

For that, first differentiate the above function w.r.t. x, we get

y'=-2x+120

Now, Put y'=0, we get

-2x+120=0\\\\\Rightarrow\ x=60

Again differentiate the above function w.r.t. x, we get

y"=-2

By second derivative test, at x=60 , attains its maximum value.

Now, the Maximum profit will be :

y=-(60)^2+120(60)+3,000=6,600

Hence, the maximum profit that the company can make = $6,600

Westkost [7]3 years ago
3 0
Answer by BlueSky06

The equation described above can also be written as,                    y = -x² + 100x + 4000To get the number of notebooks that will give them the maximum profit, we derive the equation and equate to zero.                  dy/dx = -2x + 100 = 0The value of x from the equation is 50. Then, we substitute 50 to the original equation to get the profit.                    y = -(50^2) + 100(50) + 4000 = 6500Thus, the maximum profit that the company makes is $6,500/day. 
Read more on Brainly.com - brainly.com/question/3586459#readmore
You might be interested in
<img src="https://tex.z-dn.net/?f=x%3D-2%5C%5Cx%2B3y%3D4" id="TexFormula1" title="x=-2\\x+3y=4" alt="x=-2\\x+3y=4" align="absmid
Natali5045456 [20]
X + 3y -4 =0 or x=4 I think that’s the answer
4 0
2 years ago
Write the following expression in standard for a + bi<br><br><img src="https://tex.z-dn.net/?f=%5Cfrac%7B6-i%7D%7B1%2Bi%7D" id="
Arte-miy333 [17]

Answer:

5/2-7/2 i or 2.5-3.5i

Step-by-step explanation:

expand the fraction remove the parenthesis and then calculate

3 0
2 years ago
What is the measure of angle b?
KengaRu [80]

Answer:

idk sry

Step-by-step explanation:

sry

4 0
3 years ago
Read 2 more answers
A company gives yearly raises to their employees. The salaries at the company are based on the equation below, where S is the sa
Naya [18.7K]

Answer:

An employee would have to work 20 years in order to receive an annual pay of $45,000

5 0
2 years ago
Help i need answer right now...
zimovet [89]
That one looks very difficuly
7 0
3 years ago
Other questions:
  • Write a polynomial function in factored form with zeros at −2, 5, and 6.
    11·1 answer
  • Find the point-slope equation for the line that passes through the points (-10,-20)and (1,-9)
    14·1 answer
  • 10. Which of the following functions is the inverse of the function {(1,2).(3,4).(6,8)) ? (1 point)
    14·1 answer
  • g V. (10 points) Suppose that a large tank initially holds 400 gallons of brine, which contains 20 pounds of salt. Pure water is
    11·1 answer
  • How could you correctly rewrite the equation 6(11 – 3) = 4(7 455) using the distributive property?
    11·1 answer
  • HELPPPPPPP ITS FOR MY STUDY GUIDE
    9·1 answer
  • BRAINLIEST HELPPPPPO
    10·1 answer
  • Other than squares, the polygons that can be the faces of a Platonic solid are
    6·1 answer
  • Mario worked from 8:25 to 12:45 yesterday.Today he will work 11:20 to 3:10. How many hours did he work in all?
    15·1 answer
  • For each set, decide if it is finite, infinite, or an empty set.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!