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
What is the original price if the sale price is $75 and the discount is 20%
kifflom [539]
15 dollars off the original price.
5 0
3 years ago
Read 2 more answers
A beverage producer makes two products, Pi Cola, containing 10% cola, and Pi Up, containing 50% cola. How many gallons of Pi Up
max2010maxim [7]

Answer:

The number of gallons of Pi Up required is 900 gallons.

Step-by-step explanation:

Two different drinks that are produced by the beverage producer are Pi Cola which contains 10% Cola and Pi Up which contains 50% cola.

A solution is to be created using Pi Cola and Pi Up to create a new product containing 40% cola.

It has been mentioned that the number of gallons of Pi Up to be used is 300 gallons.

We can write that the number of gallons of Pi Up that must be mixed with 300 gallons of Pi Cola be x gallons.

So we write the first equation and we can say that the total number of gallons of the solution is x + 300.

Equating the percentage of cola from each beverage to get the required 40% cola we can write

  (0.1 × 300) + (0.5 × x)  = 0.4 × ( x + 300)

If we solve for x from the above equation we get

  (0.5 x + 30)  = (0.4 x + 120)

⇒ 0.1 x  = (120 - 30)  = 90

⇒ x  = 900 gallons

Therefore the number of gallons of Pi Up required is 900.

5 0
3 years ago
What is the measure of FSM
miv72 [106K]
M<FSM = m<WSU
7x+ 8 = 5x + 32
2x = 24
  x = 12

m<FSM = 7x+ 8 = 7(12) + 8 = 84 + 8 = 92

answer
A 92
6 0
3 years ago
Charles uses a graphing calculator to find a quadratic regression model f for a given set of data. When he compares model f to a
makvit [3.9K]
B I hope this helped I’m not sure
7 0
3 years ago
Dee Anna has a roast that weighs 5.5 pounds. The recipe she is using calls for a roast that is 80 ounces. How many ounces does s
Maslowich

Answer:

24

Step-by-step explanation:

well yea just trust me :)

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is 212 tens / 10
    8·2 answers
  • Someone help me plz I really need help
    10·1 answer
  • Find the missing side of the right triangle and the ratios listed for the angle A
    5·1 answer
  • My sister needs help with her homework. We tried 900 but it was not the right answer. Plz help!
    6·2 answers
  • What is 352.6 in expanded notation
    7·2 answers
  • Is it possible to build a triangle with side lengths of 5, 5, 10
    15·1 answer
  • A red candle is 8 inches tall and burns at a rate of 7/10 inch per hour. A blue candle is 6 inches tall and burns at a rate of 1
    9·1 answer
  • What is the area of the real object that the scale drawing models?
    8·1 answer
  • Find the volume of a rectangular pyramid, with a height of 12 cm, length of 8 cm, and a width of 6cm.
    5·1 answer
  • Someone help me please. I think it’s 35 but I’m not sure
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!