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aev [14]
3 years ago
10

) If the average cost function for a company is given by C(x) = 0.2x + 20x −1 + 75, nd what level of production produces the low

est average cost. Additionally, nd the original cost function C(x).
Mathematics
1 answer:
Stells [14]3 years ago
5 0

Answer:

The correct answer is 10 for lowest average cost and the cost function is 0.2x^{2} + 75x + 20.

Step-by-step explanation:

Average cost function is given by = \frac{Cost}{Quantity} = C(x) = 0.2x + \frac{20}{x} +75.

For minimizing we need to find \frac{d}{dx}C(x) = 0.

⇒ \frac{d}{dx}C(x) = 0.2 - \frac{20}{x^{2}}.

⇒ \frac{20}{x^{2}} = 0.2

⇒ x^{2} = 100.

⇒ x = ±10

⇒ x = 10 ; cost cannot be negative.

Second order derivative is positive which implies the average cost minimizes.

Original cost function is given by C(x) × x = 0.2x^{2} + 75x + 20.

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sesenic [268]

Answer: 7 hours! you do 74-18 to get 56 then you divide 56 by 8 to get 7.

Step-by-step explanation:

hope this helps!!

7 0
3 years ago
Deshawn has two bags of marbles. The first bag has 2 blue, 3 orange, and 5 red. The second bag has 4 pink, 10 blue, and 6 brown.
madreJ [45]

Answer: 0.1

Step-by-step explanation:

Given

Bag-I has 2 blue,3 orange, 5 red

Bag-II has 4 Pink,10 blue, 6 brown

No of ways of choosing a blue marble from bag-I

\Rightarrow ^2C_1

Total no of ways of choosing a marble from bag-I

\Rightarrow ^{10}C_1

No of ways of choosing a blue marble from bag-II

\Rightarrow ^{10}C_1

Total no of ways of choosing a marble from bag-II

\Rightarrow ^{20}C_1

The probability that he will pull out a blue marble from each bag is

\Rightarrow P=\text{Probability of pulling a blue marble from bag-I}\times \text{Probability of pulling a blue out bag-II}

\Rightarrow P=\dfrac{^2C_1}{^{10}C_1}\times \dfrac{^{10}C_1}{^{20}C_1}\\\\\Rightarrow P=\dfrac{2}{10}\times \dfrac{10}{20}=\dfrac{1}{10}

3 0
3 years ago
Pls someone help me with this question pls
Butoxors [25]
So I don’t know if this is right or not but it should be for every 3 players there is 1 wiener
7 0
3 years ago
please help me with it and dont just put random letters cause i dont know why u do it its not like u can buy a house with these
BartSMP [9]

Answer:

v=432cm

sA=144cm

Step-by-step explanation:

1)))

v=w*d*h

v=3*9*16

v=432cm

2)))

sA=h*w

sA=16*9

sA=144cm

6 0
2 years ago
Read 2 more answers
Please help I'm so depressed:(
Mashcka [7]

omi god..... I used http://convert-to.com/202/speed-units.html and got

1.64 maybe if u try it would be different idk

6 0
3 years ago
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