1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
OleMash [197]
3 years ago
9

Suppose that c (x )equals 2 x cubed minus 12 x squared plus 23 comma 000 x is the cost of manufacturing x items. Find a producti

on level that will minimize the average cost of making x items.
Mathematics
1 answer:
Keith_Richards [23]3 years ago
6 0

Answer:

x = 4 units

Step-by-step explanation:

Data provided in the question:

c(x ) = 2x³ - 12x² + 23,000

Now,

For point of maxima or minima, differentiating the above equation with respect to number of items 'x'

c'(x) = 3(2x²) - 2(12x) + 0

or

c'(x) = 3(2x²) - 2(12x)

for point of maxima or minima put c'(x) = 0

Thus,

3(2x²) - 2(12x) = 0

or

6x² - 24x = 0

or

x² - 4x = 0

or

x(x - 4) = 0

or

x = 0  and, x =  4

Since,

The quantity cannot be zero

Therefore,

production level that will minimize the average cost of making x items is x = 4 units

You might be interested in
Which choices are correct when determining the distance between −56 and −31?
lawyer [7]

Answer:

I dont know sorry so much

6 0
3 years ago
If 120% is £360, what is 100%?
Lunna [17]

Answer:

300

Step-by-step explanation:

To get from 120% to 100% you divide by 1.2  360/1.2=300 :)

5 0
2 years ago
These tables represent continuous functions. In which table do the values represent an exponential function.
Dennis_Churaev [7]
If you look at all 4 of these tables. Exponential means a large increase or gradual increase so. With that in mind if you look at table 1, the y column only increases by 5. For B, the y column only increases by 1. For C, the y column increase by 4 then 8 then 16 then 32. Therefore it is exponential. For D it is consistently an increase of 8.

Hope this helps!
4 0
3 years ago
Read 2 more answers
Find x. Assume that segments that appear tangent are tangent.
kipiarov [429]
Assuming that CB is tangent, this is just a right triangle with a hypotenuse of 20 and a side of 12 so by the Pythagorean Theorem:

20^2=12^2+x^2

400=144+x^2

x^2=400-144

x^2=256

x=16
6 0
3 years ago
Justin walked 3 miles north and 6 miles west. starting from the same point, tina walked 2 miles south and 4 miles east. how far
Darya [45]
Basically, Justin and Tina's paths form two right-angled triangles whose hypotenuses(?) form a straight line between their end points. Therefore we need to find the two distances from the starting point and add them.
Justin walked 3 miles north and 6 miles west so his distance from the start is the square root of 9+36 or 45. This can be simplified to 3√5. 
Tina walked 2 miles south and 4 miles east so her distance from the starting point is the square root of 4 + 16 or 20. This can be written as 2√5.
If we add these two distances together we get 5√5. Hence, Justin and Tina are 5√5 miles away from each other.
6 0
3 years ago
Other questions:
  • Write a definition of rounding in your own words
    15·1 answer
  • If angles 1 and 2 are supplementary which lines are parallel?
    7·1 answer
  • Randal works at a zoo and is buying food for the animals. He buys 187 lbs of food for $1447.38. What is the unit rate?
    15·2 answers
  • If a right isosceles triangle has an area of 192 cm, what is the height of the triangle?
    11·2 answers
  • if a cook works 38 hours one week and 36 hours the next week what is the total number of hours worked by the cook in the two wee
    6·1 answer
  • Five years ago, William bought a twelve-room apartment complex for $340,000, and he plans to sell it today. The real estate mark
    5·2 answers
  • Using mixed numbers, write a problem in which an estimate is enough to solve the problem.​
    5·1 answer
  • Determine on the argand diagram (4 + 2i) + (-2 + 3i) - (-1 + 6i)​
    6·1 answer
  • Which line has the steepest graph?
    8·1 answer
  • 1.4 – ( ___ ) = 2<br> Pls hurry plz
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!