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Alekssandra [29.7K]
3 years ago
15

Answer the question in the image below

Mathematics
1 answer:
Delicious77 [7]3 years ago
6 0

Answer:

Here ya go! Have a great day!

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For the cost function, find the marginal cost at the given production level x. State the units of measurement. (All costs are in
baherus [9]

Answer:

The marginal cost at the given production level is $49.9.

Step-by-step explanation:

The marginal cost function is expressed as the first derivative of the total cost function with respect to quantity (x).

We have that the cost function is given by

C(x) = 15000 + 50x + \frac{1000}{x}

So, we need the derivative and then we’ll need to compute the value x = 100 of the derivative.

C'(x)=\frac{d}{dx}\left(15000+50x+\frac{1000}{x}\right)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\C'(x)=\frac{d}{dx}\left(15000\right)+\frac{d}{dx}\left(50x\right)+\frac{d}{dx}\left(\frac{1000}{x}\right)\\\\C'(x)=0+50-\frac{1000}{x^2}\\\\C'(x)=50-\frac{1000}{x^2}

When x = 100, the marginal cost is

C'(100)=-\frac{1000}{100^2}+50\\\\C'(100)=\frac{499}{10}=49.9

6 0
3 years ago
A blueprint shows the mater bedroom to be 5 inches long and 3 inches wide. The scale on the blueprint is 2 in : 11 ft. What is t
Anna35 [415]

Answer:

453.75 sq. feet

Step-by-step explanation:

In this question, we are going to calculate the area of a room given the blue print measurement and the actual measurements with the answer being in the actual measurement.

To correctly do this, it is best if the measurements are converted to the actual.

The measurements we’ll be trying to convert is 5 inches by 3 inches with a scale of 2in to 11ft ( same as 1 in to 5.5 ft)

The 5 inches blueprint measurement will be 5 * 5.5 = 27.5 ft

The 3 inches blueprint measurement will be 3 * 5.5 = 16.5 ft

The area in sq. feet will be length * width = 27.5 * 16.5 = 453.75 sq feet

7 0
3 years ago
4 hours to 30 minutes
arlik [135]

Answer:

3 hours and 30 minutes

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which notation is expressed in interval notation x> -2?​
vfiekz [6]

Answer:

( - 2 \:  \infty )

5 0
3 years ago
I need helpppppppppppppppppp
notsponge [240]

Answer:

A:

9×1=9

9×2=18

9×3=27

9×4=36

9×5=45

9×6=54

9×7=63

9×8=72

9×9=81

9×10=90

B:

It goes down by 1 after multiplying a bigger number.

C:

It goes up by 1 after multiplying a bigger number.

Step-by-step explanation:

hope this helps you and have a great day

4 0
3 years ago
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