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
Alex777 [14]
3 years ago
15

The function C(x) = 600x – 0.3x2 represents total costs for a company to produce a product, where C is the total cost in dollars

and x is the number of units sold. What number of units would produce a maximum cost? What is the maximum cost?
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
6 0

Answer:

1000 units produces a maximum cost of $300,000.

Step-by-step explanation:

C(x) = -0.3x² + 600x

The equation is a downward parabola.  Its maximum is at the vertex, which can be found with:

x = -b / (2a)

Here, a = -0.3 and b = 600.

x = -(600) / (2 × -0.3)

x = 1000

The maximum cost is:

C(1000) = 300,000

1000 units produces a maximum cost of $300,000.

You can also use calculus to find the maximum.

C(x) = -0.3x² + 600x

C'(x) = -0.6x + 600

0 = -0.6x + 600

x = 1000

You might be interested in
A burst of electromagnetic radiation has a frequency of 1 exahertz. One exahertz equals 10^12 megahertz. Each megahertz is equal
den301095 [7]

Answer:

The frequency of the burst of electromagnetic radiation which equals 1 exahertz = 10¹⁸ hertz.

Step-by-step explanation:

Since the frequency of the burst of electromagnetic radiation is 1 exahertz, and 1 exahertz = 10¹² megahertz. So, the frequency of radiation is 10¹² megahertz. Also 1 megahertz = 10⁶ hertz. So, 10¹² megahertz = 10¹² × 1 megahertz = 10¹² × 10⁶ hertz = 10¹² ⁺ ⁶ hertz = 10¹⁸ hertz.

So the frequency of the burst of electromagnetic radiation which equals 1 exahertz = 10¹⁸ hertz.

3 0
3 years ago
Solve each equation.<br> e. log:(6x – 3) = 2
Ipatiy [6.2K]

Answer:

0.9542

Step-by-step explanation:

8 0
2 years ago
Use substitution to solve the linear system of equations.
zzz [600]
<span>5x - y = 15 (1)
-10x+2y=-30 (2)

multiply (1) by 2

10x - 2y = 30
</span>-10x + 2y = -30 (2)
<span>---------------------------add
0 = 0

answer
</span><span>infinitely many solutions</span><span>

</span>
5 0
3 years ago
Carl borrowed $7 for lunches during one week $8 for lunches during the next week. How much money did Carl borrow?
frez [133]

Answer:

Step-by-step explanation: quit

5 0
3 years ago
When the number of bricks is multiplied by 2 the length is multiplied by
kozerog [31]
2  ? That seems the most logical answer
3 0
3 years ago
Other questions:
  • Is 5 tons greater than 3000 pounds
    6·2 answers
  • Part 1: Create a scenario for an arithmetic sequence. For example, Jasmine practices the piano for ______ minutes on Monday. Eve
    9·1 answer
  • If T (n) =3n-1 what is the 3rd term
    14·1 answer
  • A rectangular cardboard has dimensions as shown. The length of the cardboard can be found by dividing its area by its width. Wha
    13·1 answer
  • A cone and a triangular pyramid have a height of 9.3 m and their cross-sectional areas are equal at every level parallel to thei
    6·1 answer
  • What’s 2-3-4-4+7. Plzzzz
    15·2 answers
  • What expression is equivalent to 4(3x+3)
    14·1 answer
  • I don’t understand the second column
    10·1 answer
  • Jan is the regional manager of Graphic DesignWorks. She uses a company
    6·2 answers
  • The circle with radius r units is divided into congruent sectors to create the shape shown below.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!