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Sloan [31]
3 years ago
9

The weekly demand for DVDs manufactured by a certain media corporation is given by

Mathematics
1 answer:
djverab [1.8K]3 years ago
8 0
Let <span>the production level that will yield a maximum profit for the manufacturer be x.
</span>The unit price of the disc is given by p = -0.0006x^2 + 65.
The revenue from selling x discs (R(x)) = px = -0.0006x^3 + 65x

Profit = Revenue - Cost = -0.0006x^3 + 65x - (-0.002x^2 + 13x + 4000) = -0.0006x^3 + 0.002x^2 + 52x - 4000

For maximum profit, dP/dx = 0
-0.0018x^2 + 0.004x + 52 = 0
Using quadratic formular, x = 171

Therefore, <span>the production level that will yield a maximum profit for the manufacturer is 171 discs.</span>
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Jacob received a deck of cards for his birthday. The length, width, and height of the card box are shown below. What is the volu
ollegr [7]

The question is incomplete :

The height, width and Lenght isn't Given. However, we can create an hypothetical scenario, with a height 6, length 8 and width 4

Answer:

192 unit³

Step-by-step explanation:

The volume of the card box :

Recall the volume of box formula :

V = length * width * height

Volume = 8 * 6 * 4

Volume = 192 unit³

This is the procedure for any given dimension of the card deck.

6 0
2 years ago
Help with math:) 6th grade!!!
kvv77 [185]

Answer:

yeah, its 64

Step-by-step explanation:

4 0
2 years ago
a delivry truck is transporiting boxes of two sizes large and small the combined weight of a large box and a small box is 65 pou
Semenov [28]

Answer: S = 20 lbs L = 45 lbs.  Both answer have been rounded from below

Step-by-step explanation:

L+S = 65 lbs

55L + 65S = 3774 lbs

55L+55S = (65)(55) = 3,575 lbs

10S = 199 lbs

S = 19.99 (round to 20)

L + S = 65

L + 19.99 = 65

L = 45.01 (round to 45)

3 0
2 years ago
Which point is on the graph of f(x) = 3.5%?<br> A. (1,15)<br> B. (0, 15)<br> C. (15,1)<br> D. (0,0)
xxTIMURxx [149]

Answer:

b.)

Step-by-step explanation:

7 0
3 years ago
A prism is completely filled with 96 cubes that have edge length of 1/2 cm.
ch4aika [34]
I know this is kinda late, but...

You can solve this easily as long as you remember how to find the volume of a cube. v=a^3, when a means length. The length is 1/2 cm, or .5 cm.
 So, v+.5^3, which equals .125 cm. Each cube has a that volume. Now, multiply that by how many actual cubes there are, 96.

96 * .125 = 12
8 0
3 years ago
Read 2 more answers
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