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
UNO [17]
3 years ago
13

A compact disk manufacturer charges $100 for each box of CDs ordered. However, it reduces the price by S1 per box for each box i

n excess of 50 boxes but less than 100 boxes. Determine the number of boxes of CDs that should be sold to maximize revenue. What is the maximum revenue? To maximize revenue, boxes of CDs should be sold
Mathematics
1 answer:
notsponge [240]3 years ago
7 0

Answer:

75 CD's should be sold and maximum revenue is $ 2500.

Step-by-step explanation:

Given,

The original charges for each CD = $ 100,

∵ it reduces the price by $ 1 per box for each box in excess of 50 boxes but less than 100 boxes.

That is, the charges would be (100-x) dollars for (50 + x) CD's

Where, 50 + x ≤ 100 and x ≥ 0,

Thus, the total revenue = number of CD's × price of each Cd

R(x) = (50+x)(100-x)

\implies R(x) = 5000-50x + 100x -x^2

=5000+50x-x^2

Differentiating with respect to x,

R'(x) = 50 - 2x

Again differentiating with respect to x,

R''(x) = -2

For maxima or minima,

R'(x) = 0

50-2x=0\implies x=25

For x = 25, R''(x) = negative,

Hence, the revenue is maximum for the additional CD's 25,

Maximum revenue, R(25) = 5000 + 50(25) - 625 = $ 2500

Thus, the total number of CD's that should be sold to maximise the revenue = 50 + 25 = 75.

You might be interested in
Haley and Nicole stopped at the school bookstore for extra supplies. Haley
nata0808 [166]

Answer:

Step-by-step explanation:

8p+3f=10.39

5p+4f=10.51

subtract

3p-f=-0.12

f=3p+0.12

8p+3(3p+0.12)=10.39

17p=10.39-0.36

17p=10.03

p=10.03/17=0.59

f=3×0.59+0.12=1.77+0.12=1.89 $

or 40 p+15f-40p-32f=51.95-84.08

-17f=-32.13

f=1.89 $

7 0
3 years ago
Solve the quadratic equations below using the factorization method.
liubo4ka [24]

Answer: omg this is hard

Step-by-step explanation:

4 0
3 years ago
NO LINKS HELP PLEASE PLEASE EXPLAIN ​
Iteru [2.4K]

Answer:  1,278

Step-by-step explanation: 2(18x18)+2 1/2(18x14)

p.e.m.d.a.s. 18x18= 324       18x14= 252

2x324= 648      2.5x252=630

648+630 =1,278

4 0
2 years ago
Given that x = 5.4 m and 0 = 26°, work out BC rounded to 3 SF.
bagirrra123 [75]

Answer:

BC ≈ 4.85 m

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos26° = \frac{adjacent}{hypotenuse} = \frac{BC}{AC} = \frac{BC}{5.4} ( cross- multiply )

5.4 × cos26° = BC , then

BC ≈ 4.85 m ( to 3 s f )

4 0
3 years ago
5x-3y=-11<br> x-2y=2<br> this is for home work please help
ale4655 [162]
5x - 3y = 11 ⇒ 5x - 3y = 11  ⇒   5x - 3y = 11
  x - 2y = 2   ⇒ -5(x - 3y) = 2 ⇒ <u>-5x + 15y = 2</u>
                                                           <u>12y</u> = <u>13</u>
                                                            12     12
                                                             y = 1 1/12
                                                 5x - 3(1 1/12) = 11
                                                 5x - 3 1/4 = 11
                                                <u>      +3 1/4    +3 1/4</u>
                                                            <u> 5x</u> = <u>14 1/4</u>
                                                              5          5
                                                               x = 2 17/20
                                                 (x, y) = (2 17/20, 1 1/12)
8 0
3 years ago
Other questions:
  • Which term describes the point where the three altitudes of a triangle intersect?
    14·2 answers
  • C - 1.5+6.8=0.6 what is x
    12·2 answers
  • Roberto slides a rectangular picture frame 5 feet to the right of its original position on the wall How many right angles does t
    5·1 answer
  • The sum of three times the larger of two integers and twice the smaller is seven the difference between the two integers is four
    6·1 answer
  • Bob's Shoe Emporium sold 5,787 shoes in March. In April they sold 6,245 shoes. How many more shoes did they sell in April than i
    13·1 answer
  • : A pack of crayon was shared between two friend Shantel and Carl in the ratio 3:5. If Shantel received 27 crayons, how many cra
    10·1 answer
  • Marie has a building that is 40 feet wide, 70 feet long, and 16 feet high. How many cubic feet of
    8·1 answer
  • Can you please help me
    6·1 answer
  • Please someone help me with this question for 4th grade thank youuuuuuuu
    10·1 answer
  • Julio says, "If you subtract 17 from my number and multiply the difference by - 3, the result is - 36." What is Julio's number?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!