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
maxonik [38]
2 years ago
6

(a) What is the actual cost incurred in producing the 1051st and the 2191st disc? (Round your answers to the nearest cent.)

Mathematics
1 answer:
Evgen [1.6K]2 years ago
3 0

This question is incomplete, the complete question is;

The total weekly cost (in dollars) incurred by Lincoln Records in pressing x compact discs is given by the following function;

C(x) = 2000 + 2x -0.0001x²  (0 ≤ x ≤ 6000) .

(a) What is the actual cost incurred in producing the 1051st and the 2191st disc? (Round your answers to the nearest cent.)

(b) What is the marginal cost when x = 1050 and 2190? (Round your answers to the nearest cent.)

Answer:

a)

Actual cost for 1051st disc is $1.79

Actual cost for 2191st disc is $1.56

b)

the marginal cost are;

C'(1050) = $1.79

C'(2190) =  $1.56

Step-by-step explanation:

Given the data in the question;

C(x) = 2000 + 2x -0.0001x²

a)

What is the actual cost incurred in producing the 1051st and the 2191st disc? (Round your answers to the nearest cent.)

Actual cost for 1051st disc will be;

⇒ C(1051) - C(1050)  

= [ 2000 + 2(1051) - 0.0001×(1051)²] - [ 2000 + 2(1050) - 0.0001×(1050)² ]

= [ 2000 + 2102 - 110.4601 ] - [ 2000 + 2100 - 110.25 =

= 3991.5399 - 3989.75

= $ 1.7899 ≈ $1.79

Actual cost for 2191st disc will be;

⇒ C(2191) - C(2190)  

= [ 2000 + 2(2191) - 0.0001×(2191)²] - [ 2000 + 2(2190) - 0.0001×(2190)² ]

= [ 2000 + 4382 - 480.0481 ] - [ 2000 + 4380 - 479.61 ]

= 5901.9519 - 5900.39

= $ 1.5619 ≈ $1.56

Therefore,

Actual cost for 1051st disc is $1.79

Actual cost for 2191st disc is $1.56

b)

What is the marginal cost when x = 1050 and 2190? (Round your answers to the nearest cent.)

Marginal cost is; C'(x) = 2 - 0.0002x

so;

C'(1050) = 2 - 0.0002(1050) = 2 - 0.21 = $1.79

C'(2190) = 2 - 0.0002(2190) = 2 - 0.438 = $1.562 ≈ $1.56

Therefore; the marginal cost is;

C'(1050) = $1.79

C'(2190) =  $1.56

You might be interested in
In Exercises 27 and 28, find the domain of the function
Natali5045456 [20]

                                             Question 27

The graph on question 27 indicates that there are three points with the locations such as:

  • (2, 6)
  • (4, 12)
  • (6, 18)

In other words, there are three points that lie on the graph with the x-values such as:

{(2, 6), (4, 12), (6, 18)}

We know that the domain includes the set of x-values.

Hence, the domain of the function is:

  • Domain: {2, 4, 6}

Since the points are not connected between them. In other words, there is not a continuous line.

Thus, the function represented on the graph has a discrete domain.

                                        Question 28

The graph on question 27 indicates that the line segment with the end-points (0, 25) and (7, 20).

Since there is a continuous line between the points from x = 0 to x = 7.

Thus, the domain of the line function is:

  • Domain: {0, 1, 2, 3, 4, 5, 6, 7}

As the line segment is a continuous line. Thus, the domain is continuous.

3 0
2 years ago
If R is the midpoint of QS, QR= 8x-51 and RS = 3x-6, find QS.
sashaice [31]

QS would be 42. So the way i did it was I:

8x-51=3x-6

x=9

Plugged into both equations of QR and RS to then get the answer of 42

7 0
3 years ago
Read 2 more answers
If y=80,when x=32 find x when y=100
Bess [88]
Y        X
80     32
100    x'

80x' = 100*32
80x' = 3200
x' = 3200/80
x' = 320/8
x' = 40
5 0
3 years ago
Convert 11/8 and 5/9 to decimals
svetlana [45]

Answer:

Step-by-step explanation:

11/8 as a decimal... 1.375

5/9 as a decimal... 0.55555556

8 0
3 years ago
Read 2 more answers
A square has a side length 15.8cm.If 3 such squares are linked side to side in a straight line, what is the perimeter of the who
Novay_Z [31]

Answer:

126.4 cm

Step-by-step explanation:

1. 15.8 * 3 = 47.4 (This is the length)

2. Find half of the rectangle

47.4 + 15.8 (width) = 63.2

3. Find the whole perimeter

63.2 * 2 = 126.4

3 0
3 years ago
Read 2 more answers
Other questions:
  • 3(m - 1) = 5m +3 -2m please help me solve this step by step asap!
    10·1 answer
  • Enrique earns 10 points for each question that he answers correctly on a geography test. Write an equation for the number of poi
    5·2 answers
  • kevin built a deck in his backyard. The length of the deck was 5x+1 units and the width of the deck was 4x-1 units. Write and si
    5·1 answer
  • What is the value of 5w if w = 6
    14·2 answers
  • Seniors at a certain high school took a survey regarding future plans. All plan to attend college some time; however, 77% plan t
    11·1 answer
  • A card is selected at random from a standard 52-card deck. (a) what is the probability that it is an ace? 4/52 (b) what is the p
    14·1 answer
  • QUICK !!!
    10·1 answer
  • What is the solution of x in 2-3(6-2x)=1/2(10x-8)
    12·1 answer
  • Simplify: <br>{(12)^1 + (13)^-1}/[(1/5)^-2 × {(1/5)^-1 + (1/8)^-1}^-1]​
    9·2 answers
  • Evaluate the function.<br> f(x) = -x² +6<br> Find f(-1)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!