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
Nuetrik [128]
3 years ago
7

Look at picture for question

Mathematics
1 answer:
netineya [11]3 years ago
7 0

Answer:

The radius is 25 in., circumference is 207

Step-by-step explanation:

Please mark as Brainliest! :)

Have a nice day.

You might be interested in
A company manufactures and sells x television sets per month. The monthly cost and​ price-demand equations are ​C(x)equals72 com
solmaris [256]

Answer:

Part (A)

  • 1. Maximum revenue: $450,000

Part (B)

  • 2. Maximum protit: $192,500
  • 3. Production level: 2,300 television sets
  • 4. Price: $185 per television set

Part (C)

  • 5. Number of sets: 2,260 television sets.
  • 6. Maximum profit: $183,800
  • 7. Price: $187 per television set.

Explanation:

<u>0. Write the monthly cost and​ price-demand equations correctly:</u>

Cost:

      C(x)=72,000+70x

Price-demand:

     

      p(x)=300-\dfrac{x}{20}

Domain:

        0\leq x\leq 6000

<em>1. Part (A) Find the maximum revenue</em>

Revenue = price × quantity

Revenue = R(x)

           R(x)=\bigg(300-\dfrac{x}{20}\bigg)\cdot x

Simplify

      R(x)=300x-\dfrac{x^2}{20}

A local maximum (or minimum) is reached when the first derivative, R'(x), equals 0.

         R'(x)=300-\dfrac{x}{10}

Solve for R'(x)=0

      300-\dfrac{x}{10}=0

       3000-x=0\\\\x=3000

Is this a maximum or a minimum? Since the coefficient of the quadratic term of R(x) is negative, it is a parabola that opens downward, meaning that its vertex is a maximum.

Hence, the maximum revenue is obtained when the production level is 3,000 units.

And it is calculated by subsituting x = 3,000 in the equation for R(x):

  • R(3,000) = 300(3,000) - (3000)² / 20 = $450,000

Hence, the maximum revenue is $450,000

<em>2. Part ​(B) Find the maximum​ profit, the production level that will realize the maximum​ profit, and the price the company should charge for each television set. </em>

i) Profit(x) = Revenue(x) - Cost(x)

  • Profit (x) = R(x) - C(x)

       Profit(x)=300x-\dfrac{x^2}{20}-\big(72,000+70x\big)

       Profit(x)=230x-\dfrac{x^2}{20}-72,000\\\\\\Profit(x)=-\dfrac{x^2}{20}+230x-72,000

ii) Find the first derivative and equal to 0 (it will be a maximum because the quadratic function is a parabola that opens downward)

  • Profit' (x) = -x/10 + 230
  • -x/10 + 230 = 0
  • -x + 2,300 = 0
  • x = 2,300

Thus, the production level that will realize the maximum profit is 2,300 units.

iii) Find the maximum profit.

You must substitute x = 2,300 into the equation for the profit:

  • Profit(2,300) = - (2,300)²/20 + 230(2,300) - 72,000 = 192,500

Hence, the maximum profit is $192,500

iv) Find the price the company should charge for each television set:

Use the price-demand equation:

  • p(x) = 300 - x/20
  • p(2,300) = 300 - 2,300 / 20
  • p(2,300) = 185

Therefore, the company should charge a price os $185 for every television set.

<em>3. ​Part (C) If the government decides to tax the company ​$4 for each set it​ produces, how many sets should the company manufacture each month to maximize its​ profit? What is the maximum​ profit? What should the company charge for each​ set?</em>

i) Now you must subtract the $4  tax for each television set, this is 4x from the profit equation.

The new profit equation will be:

  • Profit(x) = -x² / 20 + 230x - 4x - 72,000

  • Profit(x) = -x² / 20 + 226x - 72,000

ii) Find the first derivative and make it equal to 0:

  • Profit'(x) = -x/10 + 226 = 0
  • -x/10 + 226 = 0
  • -x + 2,260 = 0
  • x = 2,260

Then, the new maximum profit is reached when the production level is 2,260 units.

iii) Find the maximum profit by substituting x = 2,260 into the profit equation:

  • Profit (2,260) = -(2,260)² / 20 + 226(2,260) - 72,000
  • Profit (2,260) = 183,800

Hence, the maximum profit, if the government decides to tax the company $4 for each set it produces would be $183,800

iv) Find the price the company should charge for each set.

Substitute the number of units, 2,260, into the equation for the price:

  • p(2,260) = 300 - 2,260/20
  • p(2,260) = 187.

That is, the company should charge $187 per television set.

7 0
2 years ago
The sum of the measures of a pair of alternate angles of two parallel lines is 210°. What are the measures of these two angles?
aniked [119]
The answer is 105 and 105 because they did not tell you that one had more than the other, so it's equal. Plus, it could not be 210 or over or 0 or less. It was spilt up equally between both alternate angles, and the lines are parallel, so the angles are equal. So just do 210/2 and get what one of the angles would be. Great question!
3 0
3 years ago
The table below shows the typical hours worked by employees at a company. A salaried employee makes $67,000 per year. Hourly emp
nadezda [96]
First, we must calculate the weekly pay of an employee that is paid a fixed amount. Given that there are 52 weeks in a year, the weekly pay for a regularly paid employee is: 67,000 / 52 = $1,288.46 Now, we calculate the number of hours an employee that is paid hourly works per week: 0 + 10 + 8 + 8 + 7 + 6.5 + 4.5 = 44 So this employee is paid: 25 x 40 + 37.5 x 4 = $1,150 Therefore, it is recommended that a new employee goes for the salaried pay since the weekly earnings are greater in this option. The answer is C<span>.</span>
7 0
3 years ago
Read 2 more answers
Given the equation y = 3x + 2 , what is the value of x when y = 8? A:2 B:4 C:6 D:9
stiv31 [10]

Answer:

a

Step-by-step explanation:

3 0
3 years ago
Given a=4,b=-2 and c=8, evaluate -|b-a|<br><br> -2<br> -6<br> 6
Salsk061 [2.6K]

Answer: -6


Step-by-step explanation: -|b-a|

-|-2-4|

-|-6|

-6

Once you get rid of the absolute value bars the negative sign is still outside of them making 6 negative again. Hope this helped! :P


5 0
3 years ago
Read 2 more answers
Other questions:
  • he needs 24 feet of fencing then he relizies at the store it cost $0.25 per inch. how much will it cost hime to fence the garden
    13·1 answer
  • I’m in dire need of the answers to 2,3,&amp;4
    9·1 answer
  • RQ is tangent to Circle S. Use the diagram below to find the measure of QRS.
    13·2 answers
  • If a person walks 2.4 miles in 1.5 hours, how far can he walk in 3 hours?
    14·2 answers
  • Allen runs 8 miles in 3 hours at a steady pace.  how long does it take him to run 3 miles
    9·2 answers
  • HELP PLS and quick find the volume
    14·1 answer
  • Indicate a general rule for the nth term of this sequence. 12a, 15a, 18a, 21a, 24a, . . .
    5·1 answer
  • Help would be greatly appreciated.
    9·2 answers
  • Hey lads could you please check out my channel on you.tube please leave a like and subscribe it would help a lot much love stay
    9·1 answer
  • PLEASE SOLVE IT WITH EXPLANATION!!<br>DONT TAKE POINTS :)<br>​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!