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
lesya692 [45]
2 years ago
8

If

Mathematics
1 answer:
Nitella [24]2 years ago
6 0

Since profit can't be negative, the production level that'll maximize profit is approximately equal to 220.

<h3>How to find the production level that'll maximize profit?</h3>

The cost function, C(x) is given by 12000 + 400x − 2.6x² + 0.004x³ while the demand function, P(x) is given by 1600 − 8x.

Next, we would differentiate the cost function, C(x) to derive the marginal cost:

C(x) = 12000 + 400x − 2.6x² + 0.004x³

C'(x) = 400 − 5.2x + 0.012x².

Also, revenue, R(x) = x × P(x)

Revenue, R(x) = x(1600 − 8x)

Revenue, R(x) = 1600x − 8x²

Next, we would differentiate the revenue function to derive the marginal revenue:

R'(x) = 1600 - 8x

At maximum profit, the marginal revenue is equal to the marginal cost:

1600 - 8x = 400 − 5.2x + 0.012x

1600 - 8x - 400 + 5.2x - 0.012x² = 0

1200 - 2.8x - 0.012x² = 0

0.012x² + 2.8x - 1200 = 0

Solving by using the quadratic equation, we have:

x = 220.40 or x = -453.73.

Since profit can't be negative, the production level that'll maximize profit is approximately equal to 220.

Read more on maximized profit here: brainly.com/question/13800671

#SPJ1

You might be interested in
Between which two tenths is the decimal approximation of √7?
RUDIKE [14]

Answer:

2.6 and 2.7

Step-by-step explanation:

The actual square root of 7 is 2.64 and that is between 2.6 and 2.7.

4 0
2 years ago
After completing the fraction division 5 divided by five-thirds, Miko used the multiplication shown to check her work. 3 times f
Dmitry [639]

Step-by-step explanation:

5 divided by five-thirds can be written in the fractional form is as follows :

\dfrac{5}{\dfrac{5}{3}}

It can be also written as :

\dfrac{5}{\dfrac{5}{3}}=5\times \dfrac{3}{5}\\\\=3

He has done calculations as follows :

3 x 5/3=3/1 x 5/3 = 15/3 or 5

Miko was wrong in the first step where he multiplied 3 by (5/3). It should be 5 multiplied by (3/5). He has done multiplication incorrectly.

3 0
2 years ago
Given the following function, find f(-4), f(0), f(4).
Marina86 [1]
Hope this helps you.

6 0
3 years ago
Read 2 more answers
NEED HELP DUE TODAY!!!​
Rainbow [258]

Answer:

50 minutes

Step-by-step explanation:

x=9

(5x9+5)+9+13=72

50+9+13=72

59+13=72

5x9=45

45+5=50

4 0
2 years ago
Perry set450 chairs up perry put 20 chairs in a row he already set up15 rows howmany more chairs he need to set up
vredina [299]
450 chairs total
20 chairs per row
15 rows already set up
15×20=300
300 chairs already up
450-300=150
150 chairs left to set up
5 0
3 years ago
Other questions:
  • A stadium holds 50,000 people.The stadium is divided into 250 different seating sections.How many seats are in each section?
    12·2 answers
  • José was paid an 8 percent commission on the used car that he sold. The used car lot had bought the car from a seller for $8,500
    15·2 answers
  • 3 and 512 take away eight 12 equals
    10·1 answer
  • 1<br> What is the solution to the equation 5x + 4 =19
    15·1 answer
  • Find the difference in the volume and total area of a cylinder with both a radius and height of1 r-1, h-1
    10·1 answer
  • (-4+5)/(-1)+3-21/(-7)13[-11(-2)-19
    10·1 answer
  • A line's y -intercept is 10,and its slope is 9 . What is its equation in slope-intercept form?
    15·1 answer
  • Guys I don't need you to answer the question I just want to know what the math is called
    15·1 answer
  • What is the probability that you know will not wear a white shirt on the first day of her trip
    12·1 answer
  • Simplify Fraction improper 13/8
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!