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
sergejj [24]
3 years ago
8

Aki's Bicycle Designs has determined that when x hundred bicycles are​ built, the average cost per bicycle is given by​ C(x)equa

ls=0.50.5xsquared2minus−0.20.2xplus+6.7566.756​, where​ C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per​ bicycle?
Mathematics
1 answer:
Alenkinab [10]3 years ago
5 0

Answer:

20 Bicycles

Step-by-step explanation:

The function for the average cost,C(x) [in hundred of dollars] per bicycle whenever x hundred bicycles are built is given as:

C(x)=0.5x^2-0.2x+6.756

The minimum value of C occurs at the axis of symmetry.

Axis of Symmetry, x=-\frac{b}{2a}

Comparing with the standard form of a quadratic equation ax^2+bx+c=0

a=0.5, b=-0.2

x=-\frac{(-0.2)}{2*0.5}\\x=0.2

x=0.2 Hundreds =0.2 X 100 =20

When Aki's Bicycle Designs produces 20 Bicycles, the cost is minimized.

You might be interested in
A patio in the shape of a regular octagon (8-sided figure) has a side length of 24 ft and an apothem length of 60 ft. What is th
Damm [24]
Given:
Octagon-shaped patio
Side length = 24ft
apothem length = 60ft

Area of a regular octagon = 2 * a² * (1 + √2)
a = side length

A = 2 * (24ft)² * (1 + √2)
A = 2 * 576ft² * (1 + 1.414)
A = 2 * 576ft² * 2.414
A = 2,780.93 ft²

8 0
3 years ago
Help me- what number of units and where
gladu [14]
8 units to the left and 5 units up.

Just pick any point on the blue triangle and count how many you move to get to that same point on the red triangle.
4 0
3 years ago
Determine the domain of the function.
nydimaria [60]
f(x)=\dfrac{4}{x^2}D:\ x^2\neq0\to x\neq0\\\\Answer:\ All\ real\ numbers\ except\ 0.
6 0
3 years ago
Eva, David and Joshua gather and shell 2 1/2 pounds, 4 3/8 pounds and 3.25 pounds how many pounds would each person she'll?
Andreyy89
I dont know how to this but you probably make 4 3/8 and 2 1/2 into a decimal add all them together...

7 0
3 years ago
±√121 what is the answer
HACTEHA [7]

Answer:

±11 is the answer........

6 0
3 years ago
Read 2 more answers
Other questions:
  • In a parallelogram consecutive angles are
    5·1 answer
  • What's the area for number 5 and 6
    15·1 answer
  • Eric can type 80 words in 5 minutes how many words can he type in 1 minute
    12·2 answers
  • Look at triangle ABC. What is the length of side AB of the triangle? Image down below :)
    10·2 answers
  • What is 4% of 350? I got 87.5% did i do it right?
    13·2 answers
  • James walked 15 blocks. she stopped at the store 3/5 of the way into her walk. how many blocks did she walk to the store? ​
    5·2 answers
  • Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
    8·1 answer
  • Find the missing side length​
    6·2 answers
  • Select the best description for the sum of the expression below.
    11·1 answer
  • Which of the following expressions are equivalent to 1/-7 x -6/5?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!