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
Write an equation of a line in slope intercept form that is perpendicular to y = -4x -2 and passes through the point (-16, -11).
NISA [10]
Y = -4x - 2
P (-16, -11)
a = -4, b = 0, c = -2
m = -a/b
m = -(-4)/(-2)
m = 4/(-2)
m = -2

y-yo = m(x-xo)
y-(-11) = -2[x-(-16)]
y+11 = -2(x+16)
y+11 = -2x-32
2x+y+11+32 = 0
2x+y+43 = 0

A outra questão é semelhante.
4 0
3 years ago
Somebody please help!!!<br> (Dont judge me I forgot)
ch4aika [34]

Answer:

16. 200+3

17. 30+4+0.1+0.02+0.007

18. 200+70+6+0.1+0.03

19. 30000000+4000000+100000+20000+3000+6

Step-by-step explanation:

4 0
3 years ago
From the beginning of the day the temperature rose 15° so that by 4 pm it was 87°. What was the temperature at the start of the
zubka84 [21]
Your answer is A, 72°.
4 0
3 years ago
Read 2 more answers
Bob and Larry went on a tricycle ride. They rode for the same amount of time, but Bob cycled 10 miles per hour slower than Larry
IceJOKER [234]

Step-by-step explanation:

so basically they are asking you to subtract, hope this helps, use a calculator if needed

8 0
3 years ago
Please help me I want you to answer my question.
zhuklara [117]

Answer:

it is 6cm2

Step-by-step explanation:

because see how many faces does it have

5 0
3 years ago
Read 2 more answers
Other questions:
  • A rectangular field has a perimeter of 500m and an area of 14400m2.  Find the lengths of the sides
    6·1 answer
  • Slope of (21, 45) and (84, 87)
    14·1 answer
  • When x = 3 and y = 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y ?
    8·2 answers
  • If a lb of beef cost $4.25, how much would 1 1/4 lb cost?
    8·2 answers
  • 2y^2/y-7 - y^2+49/y-7
    14·1 answer
  • Which expression could be used to find the value of x in the diagram WILL MARK BRAINLIEST
    15·1 answer
  • Solve for x and show work.
    10·1 answer
  • If you can tell me something that is fun you can get a brainiest!!!!!!! You have 23 hrs to answer
    5·1 answer
  • In a triangle, the measures of the three angles are x, x+6 and x-9. What is the measure of each angle?
    15·1 answer
  • Cate solved an inequality to find c, the possible number of cats that a shelter can house. She found that c &lt; 28. Which state
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!