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Alex777 [14]
3 years ago
15

The function C(x) = 600x – 0.3x2 represents total costs for a company to produce a product, where C is the total cost in dollars

and x is the number of units sold. What number of units would produce a maximum cost? What is the maximum cost?
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
6 0

Answer:

1000 units produces a maximum cost of $300,000.

Step-by-step explanation:

C(x) = -0.3x² + 600x

The equation is a downward parabola.  Its maximum is at the vertex, which can be found with:

x = -b / (2a)

Here, a = -0.3 and b = 600.

x = -(600) / (2 × -0.3)

x = 1000

The maximum cost is:

C(1000) = 300,000

1000 units produces a maximum cost of $300,000.

You can also use calculus to find the maximum.

C(x) = -0.3x² + 600x

C'(x) = -0.6x + 600

0 = -0.6x + 600

x = 1000

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Find the volume of a cone with a height of 6 in and a base radius of 4 in
Neko [114]

Answer:

The answer is

<h2>100.5 in³</h2>

Step-by-step explanation:

The volume of a cone is given by

V  =  \frac{1}{3} \pi {r}^{2} h

where

r is the radius

h is the height of the cone

From the question

h = 6 in

r = 4 in

The volume of the cone is

V  =  \frac{1}{3}  \times  {4}^{2}  \times 6\pi \\  =  \frac{1}{3}  \times 16 \times 6\pi \\  =  \frac{1}{3}  \times 96\pi \\  = 32\pi \\  = 100.530964

We have the final answer as

100.5 in³

Hope this helps you

5 0
3 years ago
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what is 0 + 0? I NEED HELP PLS RN RN IM GETTING GRADED ON THIS PLS HELP WILL MARK BRAINLIEST PLS HELP
kicyunya [14]

It's 00000000000000000000000

6 0
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X/5 + 7 = 16 X= answer​
Debora [2.8K]

Step-by-step explanation:

x/5 + 7 = 16

x/5 = 16 - 7

x/5 = 9

x = 9×5

= 45

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3 years ago
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The sum of two numbers is -284. One number is 62 less then the other. Find the numbers
ira [324]

Answer:

It could be -111 and -173

Step-by-step explanation:

-111 is 62 more than -173 and together they are -284.

7 0
3 years ago
Gerold invested $118 in an account that pays 6 percent simple interest. how much money will he have at the end of 5 years
JulsSmile [24]
If you would like to know how much money will Gerold have at the end of 5 years, you can calculate this using the following steps:

1 year: $118 + 6% * $118 = 118 + 6/100 * 118 = 118 + 7.08 = $125.08
2 year: $125.08 + 6% * $125.08 = 125.08 + 6/100 * 125.08 = 125.08 + 7.50 = $132.58
3 year: $132.58 + 6% * $132.58 = 132.58 + 6/100 * 132.58 = 132.58 + 7.95 = $140.53
4 year: $140.53 + 6% * $140.53 = 140.53 + 6/100 * 140.53 = 140.53 + 8.43 = $148.96
5 year: $148.96 + 6% * $148.96 = 148.96 + 6/100 * 148.96 = 148.96 + 8.94 = $157.9

The correct result would be $157.9.
6 0
3 years ago
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