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
vodomira [7]
3 years ago
6

PLEASE HELP!!!!!

Mathematics
2 answers:
statuscvo [17]3 years ago
6 0
The second one is the function
nadya68 [22]3 years ago
6 0
A domain of a function doesn't have more than one range.

The first one is not a function because domain 0 has two different ranges, 3 and 4 ⇒ (0,3)(0,4)

<u>The second one is a function</u>

The third one is not a function because domain 2 has two different ranges, 6 and 0 ⇒ (2,6)(2,0)

The fourth one is not a function because domain 6 has two different ranges, 2 and 4 ⇒ (6,2)(6,4)
You might be interested in
5 yd<br> .<br> 6 yd<br> Byd<br> Click Here:
damaskus [11]
The answer would be
7 0
2 years ago
Subtract -1 3/5 - ( -2 7/8) Enter your answer as a simplified fraction by filling in the boxes
vredina [299]
The answer is 51/40=1 and 11/40
8 0
2 years ago
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
Please answer this correctly without making mistakes
IrinaVladis [17]

Answer:

\boxed{\sf 319:3388}

Step-by-step explanation:

Total number of tickets sold = 3388

Total number of coach tickets = 3069

Total number of first-class tickets = Total number of tickets sold - Total number of coach tickets

= 3388 - 3069

= 319

\therefore

Ratio of the number of first-class tickets to the total number of tickets = 319:3388

8 0
2 years ago
Write the slope-intercept form of the equation of the line through the given point and slope.
Mandarinka [93]

Answer:

y=-4x+1

Step-by-step explanation:

Graph (1,-3)

Go down 4 over one/ up left one

Get y-intercept

Then BOOM you got it

8 0
2 years ago
Other questions:
  • If you roll two fair six sided dice what's the probability that both dice show an odd number
    12·2 answers
  • Solve for x in the triangle round your answer to the nearest tenth
    6·1 answer
  • The ratio of the area of a circle to the circumference of the circle (<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7BA%7D%7BC%7D
    9·1 answer
  • 21 students in michael's classroom are wearing jeans. there are 25 students in his class.michael says that 80% of his class is w
    14·2 answers
  • Find the surface area of the figure. Round your answer to the nearest hundredth if necessary.
    10·1 answer
  • Triangle CAT was rotated to create triangle C'A'T'. Describe the transformation using details and degrees.
    7·2 answers
  • A man travels at 42 degrees northwest, and ends up 8.5 miles west of his starting point. How far did he travel?
    10·1 answer
  • A random survey found that 8 of the 25 people surveyed prefer listening to rock music. Based on those results, about how many pe
    5·1 answer
  • Sabrina is building a bookend from two identical wooden rectangular prisms as shown in the figure. what is the volume of wood us
    15·1 answer
  • 2-6² +4 2<br><br>please help it's review for my finals ​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!