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
Misha Larkins [42]
3 years ago
15

A vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends on the number of cars made.

If x cars are made, then the unit cost is given by the function C (x) = 0.5x^2-130x+17,555. What is the minimum unit cost?
Mathematics
1 answer:
NeTakaya3 years ago
4 0

Answer:

The minimum cost is $9,105

Step-by-step explanation:

<em>To find the minimum cost differentiate the equation of the cost and equate the answer by 0 to find the value of x which gives the minimum cost, then substitute the value of x in the equation of the cost to find it</em>

∵ C(x) = 0.5x² - 130x + 17,555

- Differentiate it with respect to x

∴ C'(x) = (0.5)(2)x - 130(1) + 0

∴ C'(x) = x - 130

Equate C' by 0 to find x

∵ x - 130 = 0

- Add 130 to both sides

∴ x = 130

∴ The minimum cost is at x = 130

Substitute the value of x in C(x) to find the minimum unit cost

∵ C(130) = 0.5(130)² - 130(130) + 17,555

∴ C(130) = 9,105

∵ C(130) is the minimum cost

∴ The minimum cost is $9,105

You might be interested in
Wayne's puppy weighs 8 pounds. How many ounces does Wayne's puppy weigh?
Morgarella [4.7K]
1 pound = 16 ounces

8 * 16 = 128 ounces
5 0
3 years ago
2/3x=6 what does x equal
jonny [76]

minus 2/3 on both sides then you get x equals

when you do 6 / 2/3 you get your answer

5 0
3 years ago
Read 2 more answers
Raj gave his mother a bouquet of 12 pink and white roses. There were 4 pink roses in the bouquet. Which ratio
Studentka2010 [4]

Sorry I was wrong, I didn’t mean to get it wrong.

6 0
2 years ago
Read 2 more answers
You know that for any , neither sin nor cos can be greater than 1. how can you explain this using the unit circle definitions of
Feliz [49]
In the unit circle the hypotenuse of the triangle formed  is equal to radius of circle , which = 1. The point on the circle formed by the intersection of the hypotenuse  is  (cos q , sin q)  where q is the angle between the x axis and the hypotenuse.   As the hypotenuse = 1 the opposite and adjacent sides of the triangle < 1   so sin and cos of q  must both be  <= 1.
4 0
3 years ago
Surface area of the prism
Rudik [331]

Answer: You basically have to 2xlw+2wh+2lh which means

2 multiplied by the length and width + 2 x the width and the height+ 2 x the length and height

Example:

l= 2

w=5

h=4

2x2x5+2x5x4+2x2x4

I hope this helps

5 0
3 years ago
Other questions:
  • The floor of a gazebo is in the shape of a regular octagon. The perimeter of the floor is 72 feet. The distance from
    10·2 answers
  • The lines shown below are parallel. If the green line have a slope of -3, what is the slope of the red line
    14·1 answer
  • A recipe for 16 banana dash nut muffins calls for 1 cup of flour. The number of muffins that can be made varies directly with th
    11·2 answers
  • For all real values of m,<br> 8 + 3(m - 5) =?
    15·1 answer
  • Please answer this correctly
    5·2 answers
  • For the function f(x)=x2-4, fins the value of f(x) when x=6
    5·2 answers
  • 4. Make up a system of equations with infinite<br> solutions
    9·1 answer
  • 1. Find the value of x.<br><br> A. 90<br> B. 80<br> C. 60<br> D. 45
    14·1 answer
  • Which equation is equivalent to 5 = (6y + 9)?
    5·1 answer
  • Algebra homework jimthompson
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!