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
Sladkaya [172]
3 years ago
14

A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the numb

er of machines made. If x machines are made, then the unit cost is given by the function
C (x) = 0.8x ^ 2 - 256x +25,939 . How many machines must be made to minimize the unit cost? Do not round your answer.
Number of copy machines:
Mathematics
2 answers:
Ugo [173]3 years ago
7 0

Answer:

Number of copy machines must be made to minimize the unit cost=160.

Step-by-step explanation:

We are given that the unit cost function C ( the cost in dollars to make each copy machine)

If machines are made =x

Then the unit cost function is given by

C(x)=0.8x^2-256x+25939

We have to find the number of copy machines for  minimize the unit  cost

C(x)=0.8x^2-256x+25939

Differentiate with respect to x

Then we get

\frac{\mathrm{d}C}{\mathrm{d}x}=1.6x-256 ......(equation I)

To find the value of x then we susbtitute \frac{\mathrm{d}C}{\mathrm{d}x} is equal to zero

\frac{\mathrm{d}C}{\mathrm{d}x}=0

1.6x-256=0

1.6x=256

x=\frac{256}{1.6}

By using division property of equality

x= 160

Again differentiate the equation I with respect to x then we get

\frac{\mathrm{d}^2 C}{\mathrm{d}^2 x}=1.6 >0

Hence, the unit cost is minimize for x=160

Therefore, the number of copy machines must be made to minimize the unit cost =160

Ugo [173]3 years ago
4 0
To answer this item, we take the differential of the equation and equate to zero.
 
                  C(x) = 0.8x² - 256x + 25939

Differentiation,
                dC(x) = 1.6x - 256 
                 dC(x) = 1.6x - 256 = 0

The value of x from the derived equation above is 160. 

Thus, the number of machine to be made in order to minimize the cost should be 160. 
You might be interested in
Find the solution to 8a=24
DaniilM [7]
A=3 so 8*3=24.......................
4 0
3 years ago
Read 2 more answers
George walked around the entire perimeter of his rectangular garden. the length of his garden was 12 yards and the width was 8 y
makkiz [27]
It is 40 yards he walked

5 0
3 years ago
Solve the equation 0.35(x+4)=0.25(x-6)
creativ13 [48]
x = -29

because
0.35x +1.4=0.25x-1.5
-0.25x            -0.25x
_____________________
0.1x + 1.4 =  -1.5
         -1.4      -1.4
_________________________
0.1x          =-2.9
____        _____
0.1               0.1
     x =  -29


5 0
3 years ago
15. Over what range of angles does the value of sin(O) consistently increase?
Ronch [10]

Answer:

D. 0° to 90°

Step-by-step explanation:

If we see curve of sin(o) on coordinate,  we will notice that value of sin curve increases from 0 to 90 degrees and then decreases from 90 to 180 degrees.

Hence option D is correct.

Alternatively

we see that

sin 0 = 0

sin 30 = 1/2

sin 45 = 1/\sqrt{2}

sin 60 = \sqrt{3} /2

sin 90 = 1

Thus, we see  that value of sin is increasing from 0 to 90

now lets see value of sin from 90 to 180

sin 90 = 1

sin 120 = \sqrt{3} /2

sin 135 = 1/\sqrt{2}

sin 150 = 1/2

sin 180 = 0

Thus, we see  that value of sin is decreasing from 90 to 180.

8 0
3 years ago
For Which Value of P and W is P+W a rational number. Tell me how you got that answer
Ymorist [56]
300.02 if you use the square root of 72
6 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the compound inequality.
    5·1 answer
  • Help please! i’ll give brainlest or whatever it’s called
    10·2 answers
  • Hunter took out a $3500 loan with interest to pay for some business supplies. He will repay The loan and three years with monthl
    5·1 answer
  • PLEASE HELP ASAP<br> Find the surface area and volume of the cylinder below:
    6·1 answer
  • Write an expression that is equivalent to 3 (2x + 6y)
    10·2 answers
  • Two siblings' ages have a sum of 64 years. The older sibling was born 6 years before their young sibling.
    6·1 answer
  • What is the value of x in the inequality start fraction two minus five x over negative three end fraction plus four less than ne
    7·1 answer
  • 6. Find the equation of the line perpendicular to y=2 through (1,5). * A. y 2 B.X D.X=2 耕​
    7·1 answer
  • What times 5/8 equals 1
    8·2 answers
  • Somebody please solve this ASAP! Nobody answer saying I don't know or how was your day and what not- If you know the answer plea
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!