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
yKpoI14uk [10]
2 years ago
7

The figure shows the graphs of the cost and revenue functions for a company that manufactures and sells small radios. More than

how many radios must be produced and sold for the company to have a​ profit?
The company must produce and sell more than ? radios to have a profit.

Mathematics
1 answer:
Lyrx [107]2 years ago
5 0
ANSWER

The company must produce and sell more than 700 radios to have a profit.

EXPLANATION

The revenue function is

R(x)=40x
and the cost function is

C(x)=5,600+32x


The company will break even when total revenue is equal to the total cost.


This implies that,


40x =5,600+32x

We group similar terms to get,


40x - 32x = 5600

This simplifies to,

8x = 5600

Divide both sides by 8 to get,


x =  \frac{5600}{8}


x = 700


The company breaks even by producing and selling 700 radios.

The company must produce and sell more than 700 radios to have a profit.
You might be interested in
3^x= 3*2^x solve this equation​
kompoz [17]

In the equation

3^x = 3\cdot 2^x

divide both sides by 2^x to get

\dfrac{3^x}{2^x} = 3 \cdot \dfrac{2^x}{2^x} \\\\ \implies \left(\dfrac32\right)^x = 3

Take the base-3/2 logarithm of both sides:

\log_{3/2}\left(\dfrac32\right)^x = \log_{3/2}(3) \\\\ \implies x \log_{3/2}\left(\dfrac 32\right) = \log_{3/2}(3) \\\\ \implies \boxed{x = \log_{3/2}(3)}

Alternatively, you can divide both sides by 3^x:

\dfrac{3^x}{3^x} = \dfrac{3\cdot 2^x}{3^x} \\\\ \implies 1 = 3 \cdot\left(\dfrac23\right)^x \\\\ \implies \left(\dfrac23\right)^x = \dfrac13

Then take the base-2/3 logarith of both sides to get

\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}

(Both answers are equivalent)

8 0
2 years ago
Jerermy drew a ploygon with four right angles and four sides with the same side length
yan [13]
Jeremy drew a square
6 0
3 years ago
The value of 33+4⋅(52−42)
joja [24]

We will use order of operations (PEMDAS) to solve this.

1.) 33+4(52-42) This is our equation. So, first we are gonna subtract 42 from 52.

2.) 33+4(10) Now that we did that, we are gonna add 4 to 33.

3.) 37(10) Lastly we are gonna multiply 37 by 10.

The answer is gonna be 370. If this helped, maybe consider giving me brainliest :)

7 0
2 years ago
Read 2 more answers
Whats 125% as a fraction and a decimal
ZanzabumX [31]
125% as a fraction is 1 25/100 and in decimal form it is 1.25.
5 0
3 years ago
Pls, help anyone- it's due tomorrow!
harina [27]

Answer: 65.94

Step-by-step explanation:

Find the area of the middle circle.

3.14 x 2² = 12.56

Pretend the white area doesn't exist and find the area of the shaded region.

3.14 x 5² = 78.5

Then subtract.

78.5 - 12.56 = 65.94

6 0
2 years ago
Other questions:
  • 1. What is the least common multiple of both 9 and 12?
    13·1 answer
  • 3 x^2 +30 x +75 factored completely
    11·1 answer
  • Zoologists are studying two newly discovered species of insects in a previously unexplored section of rain forest. They estimate
    5·1 answer
  • Annabelle has the following containers of paint left over. 1/2 gallon 3/4 quart and one fourth gallon. Annabelle put the leftove
    14·1 answer
  • Anyone know the answer ????????????
    13·1 answer
  • 2
    7·1 answer
  • Write an equation of a line in point slope form that has a slope of -4
    13·1 answer
  • Please help me with this! Write the equation of the line in fully simplified slope intercept form. Explanation and answer please
    7·2 answers
  • In the statement
    13·1 answer
  • Which mixed number is equivalent to the improper fraction?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!