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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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The difference of a number x and 4 is 3
Kruka [31]
"the difference of a number x and 4": x - 4
"is": =
"3": 3

Combine the terms so that it looks like the sentence numerically:

"the difference of a number x and 4 is 3": x - 3 = 4

x - 3 = 4 is your answer.

To solve for x:

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Add 3 to both sides.

x - 3 = 4

x -3 (-3) = 4 (-3)

x = 4 - 3

x = 1

1 is your answer for x.

~

~
6 0
3 years ago
20 points+brainliest
zimovet [89]

Answer:

14.62= d divided by 4

4 0
3 years ago
A cylinder has a base area of 64π m2. Its height is equal to twice the radius. Identify the volume of the cylinder to the neares
photoshop1234 [79]

Step-by-step explanation:

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3 0
2 years ago
Can someone please help me with this problem?? **It's high-school geometry.
jeka94

Hello!

Answer:

\huge\boxed{59.04 units}

To solve, we will need to use Right-Triangle Trigonometry:

Begin by solving for angles ∠S and ∠R using tangent (tan = opp/adj)

tan ∠S = a / (1/2b)

tan ∠S = 3√5 / 14

tan ∠S ≈ 0.479

arctan 0.479  = m∠S (inverse)

m∠S and m∠R ≈ 25.6°

Use cosine to solve for the hypotenuse, or the missing side-length:

cos ∠S = 14 / x

x · cos (25.6) = 14

x  = 14 / cos(25.6)

x ≈ 15.52

Both triangles are congruent, so we can go ahead and find the perimeter of the figure:

RS + RQ + QS = 28 + 15.52 + 15.52 = 59.04 units.

Hope this helped you! :)

5 0
3 years ago
Read 2 more answers
⎧
d1i1m1o1n [39]

<u>Given</u>:

The given expression to find the nth term of the sequence is d(n)=d(n-1) \cdot (-5)

The first term of the sequence is d(1)=8

We need to determine the third term of the sequence.

<u>Second term:</u>

The second term of the sequence can be determined by substituting n = 2 in the nth term of the sequence.

Thus, we have;

d(2)=d(2-1) \cdot (-5)

d(2)=d(1) \cdot (-5)

d(2)=8 \cdot (-5)

d(2)=-40

Thus, the second term of the sequence is -40.

<u>Third term:</u>

The third term of the sequence can be determined by substituting n = 3 in the nth term of the sequence.

Thus, we have;

d(3)=d(3-1) \cdot (-5)

d(3)=-40 \cdot (-5)

d(3)=120

Thus, the third term of the sequence is 120.

7 0
3 years ago
Read 2 more answers
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