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adoni [48]
2 years ago
8

A medical equipment industry manufactures x-ray machines. The unit cost C( the cost in dollars to make each x -ray machine) depe

nds on the number of machines made. If x machines are made, then the unit cost is given by the function C(x)=0.2x^2-100x+31,146.what is the minimum unit cost.
Mathematics
1 answer:
Nikolay [14]2 years ago
6 0

Answer:

18,646

Step-by-step explanation:

>you can graph the equation on a calculator and see that the minimum is at the point (250, 18646) , so the minimum unit cost is 18,646

>you can use the first derivative to find the minimum

c'(x) = (0.2x²-100x+31,146)' = .4x -100

.4x-100= 0 , so x= 250

c(x=250) = 0.2(250)² -100*250 +31,146 =18,646

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Answer: 1/2

Step-by-step explanation:

I got it right.

3 0
3 years ago
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working together it takes two computers 10 minutes to send out a company's email. If it takes the slower computer 30 minutes to
allochka39001 [22]

Answer: it will take the faster computer 15 minutes to do the job on its own.

Step-by-step explanation:

Let t represent the number of minutes it will take the faster computer to do the job on its own. It means that the rate at which it does the job per minute is 1/t

If it takes the slower computer 30 minutes to do the job on its own. It means that the rate at which it does the job on its own per minute is 1/30

By working together, they would work simultaneously and their individual rates are additive. Working together it takes two computers 10 minutes to send out a company's email. It means that the rate at which both computers work together per minute is 1/10 Therefore,

1/t + 1/30 = 1/10

Cross multiplying by 30x, it becomes

3x = x + 30

3x - x = 30

2x = 30

x = 30/2

x = 15 minutes

5 0
2 years ago
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OleMash [197]

Answer:

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4 0
2 years ago
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Slope is 2 and (−1, 6) is on the line; point-slope form
MissTica

Answer:

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Or simplified:

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Step-by-step explanation:

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8 0
3 years ago
The fare for a taxi cab is $2.50 per passenger and $0.75 for each mile. A group of friends has $22.00
xeze [42]

For this case we have to:

x: Let the variable representing the number of people to travel in the group

y: Let the variable representing the number of miles traveled.

If friends only have $22 then we have the following inequality:

2.50x + 0.75y \leq22

Now, if there are three people in the group we have that x = 3.

2.50 (3) + 0.75y \leq22\\7.5 + 0.75y \leq22\\0.75y \leq22-7.5\\0.75y \leq14.5\\y\leq \frac {14.5} {0.75}\\y\leq19.33

The taxi can travel a maximum of 19.33 miles.

On the other hand, if the group wants to travel 10 miles then we have to y = 10.

2.50x + 0.75 (10) \leq22\\2.50x + 7.5 \leq22\\2.50x \leq22-7.5\\2.50x \leq14.5\\x\leq \frac {14.5} {2.50}\\x \leq5.8

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ANswer:

2.50x + 0.75y \leq22

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7 0
3 years ago
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