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
abruzzese [7]
3 years ago
15

Giving Brainliest/Correct Answer/MATH

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
6 0
What’s the question??
You might be interested in
The total monthly profit for a firm is P(x)=6400x−18x^2− (1/3)x^3−40000 dollars, where x is the number of units sold. A maximum
wlad13 [49]

Answer:

Maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

Step-by-step explanation:

We are given the following information:P(x) = 6400x - 18x^2 - \frac{x^3}{3} - 40000, where P(x) is the profit function.

We will use double derivative test to find maximum profit.

Differentiating P(x) with respect to x and equating to zero, we get,

\displaystyle\frac{d(P(x))}{dx} = 6400 - 36x - x^2

Equating it to zero we get,

x^2 + 36x - 6400 = 0

We use the quadratic formula to find the values of x:

x = \displaystyle\frac{-b \pm \sqrt{b^2 - 4ac} }{2a}, where a, b and c are coefficients of x^2, x^1 , x^0 respectively.

Putting these value we get x = -100, 64

Now, again differentiating

\displaystyle\frac{d^2(P(x))}{dx^2} = -36 - 2x

At x = 64,  \displaystyle\frac{d^2(P(x))}{dx^2} < 0

Hence, maxima occurs at x = 64.

Therefore, maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

6 0
3 years ago
A pile of 10 000 paper is 89 cm thick. How thick is one sheet of paper?
Iteru [2.4K]

Answer:

0.0089 cm

Step-by-step explanation:

89/10 000

=0.0089

8 0
3 years ago
Use the table to write a proportion
Marizza181 [45]

Answer:

n = 17

\frac{n}{85}= \frac{34}{170}

Step-by-step explanation:

\frac{n}{85}= \frac{34}{170}

n · 170 = 34 · 85

170y = 2890

170y ÷ 170 = 2890 ÷ 170

y = 17

7 0
2 years ago
Enter an equation that can be used to solve this problem, where x represents the number of hours that Roberto had been traveling
ElenaW [278]
Hey any chance you remember the work answer for the problem? I have the same question also!
3 0
3 years ago
Simplify 5 to the negative 4th power over 5 to the 3rd. Group of answer choices 57 5−1 1 over 5 1 over 5 to the 7th power
STatiana [176]
When you divide exponents, you have to subtract them. So -4-3= -7 as the exponent

When you have a negative exponent, then you have to flip the fraction (all whole numbers are over 1 so flip the 1 to the top and the 5^7 on the bottom)

5 0
3 years ago
Other questions:
  • How to solve a complex number
    10·1 answer
  • Which statement is true? Group of answer choices 8.01 is a smaller increase in sales then 8.001. A debt of $17 is a larger value
    6·1 answer
  • In 45 years, Gabriela will be 4 times as old as she is now. How old is she right now
    9·1 answer
  • After Egypt destroyed the old capital, which city became the new capital of Nubia?
    6·2 answers
  • Finding what percent one number is of another ?
    11·1 answer
  • Q8 - Mr. Schober bought a pair of shoes for $80. There was a discount on
    12·1 answer
  • Find the area in square inches of a rectangle with a length of 5 inches and a width of 3 5/6 inches
    8·1 answer
  • Based on the article, which of the following is MOST important to all economic systems?
    6·1 answer
  • Simplify the following expression to an answer with only positive exponents.
    8·1 answer
  • Please help with these. I will give you brainlist
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!