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
Vladimir79 [104]
3 years ago
8

Pearl’s Biking Company manufactures and sells bikes. Each bike costs £40 to make, and the company’s fixed costs are £5000. In ad

dition, Pearl knows that the price of each bike comes from the price function P(x) = 300 – 2x where x is the total number of bikes manufactured and sold. Questions a) Find the company’s revenue function R(x), the company’s cost function C(x) and find the breakeven points
Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
6 0

Answer:

R(x) = £[300 - 2x²]

C(x) = £[5000 + 40x]

The breakeven points are when number of bikes manufactured is 21 or 239

Step-by-step explanation:

The company price function P(x) = 300 - 2x. x is the number of items that can be sold at $P per item.

The revenue is given as price per item × number of item sold.

Revenue R(x) = xP(x) = x(300 - 2x) = 300x - 2x²

R(x) = £[300 - 2x²]

The cost function [C(x)] is the sum of variable cost and fixed cost. Therefore:

C(x) = fixed cost + variable cost

Since the fixed cost is £5000 and  Each bike costs £40, this means that the variable cost = 40 × number of items manufactured = 40 × x = 40x

Therefore C(x) = £[5000 + 40x]

At breakeven point, the cost of producing an item is equal to the revenue (amount the item is sold) gotten from the item.

That is cost = revenue,

C(x) = R(x)

5000 + 40x = 300x - x²

x² - 300x + 40x + 5000 = 0

x² - 260x + 5000 = 0

x ≈ 239  or x ≈ 21. The breakeven points are when number of bikes manufactured is 21 or 239

You might be interested in
228 + 6 =<br> R<br> What is the quotient
cricket20 [7]

228 + 6 = 224 + 6 + 4 = 230 + 4

= 234

Answer: 234

ok done. Thank to me :>

4 0
2 years ago
Lucas’s computer took 480 seconds to download 30 songs. How many seconds per song did it take his computer to download?
Arte-miy333 [17]

Answer:

16 seconds per download

Step-by-step explanation:

480/30 = 16 seconds

4 0
3 years ago
Read 2 more answers
Which rational number equals 0.5 ?
pshichka [43]
1/2 is equal to 0.5.

3 0
3 years ago
If the dimensions of a rectangular prism are 39 mm × 12 mm × 15 mm, then what is the surface area
grin007 [14]

Answer:

\huge\boxed{SA=2466\ (mm^2)}

Step-by-step explanation:

The formula of a Surface Area of a rectangular prisms:

SA=2(lw+lh+wh)

<em>l</em><em> - length</em>

<em>w</em><em> - width</em>

<em>h</em><em> - height</em>

<em />

We have:

l=39mm;\ w=12mm;\ h=15mm

Substitute:

SA=2\bigg((39)(12)+(39)(15)+(12)(15)\bigg)\\\\SA=2(468+585+180)\\\\SA=2(1233)\\\\SA=2466\ (mm^2)

5 0
3 years ago
Determine the end behavior of P(x)=3x
ELEN [110]

Answer:

As x ⇒-∞, P(x) ⇒ -∞

As x ⇒ ∞, P(x) ⇒ ∞

Step-by-step explanation:

To find left hand end behavior, plug in negative infinity into the function and evaluate...

P(x) = 3(-∞) = -3(∞) = -∞

  The 'y' values of the function decrease towards negative infinity as the 'x' values approach negative infinity

P(x) = 3(∞) = ∞

  The 'y' values of the function increase towards positive infinity as the 'x' values approach positive infinity

6 0
3 years ago
Other questions:
  • Translate the sentence: “Twice x is 5” to an equation.
    8·1 answer
  • P is the set of natural numbers<br> less than 6.
    9·1 answer
  • HELP ASAP
    9·1 answer
  • How do you write 94.26 in expanded form
    7·2 answers
  • What is the domain of the given function?
    11·2 answers
  • 2 +27+-3 + 5x<br> What is this in standard form?
    13·2 answers
  • Question 8 A water tank initially contained 51 liters of water. It is then drained at a constant rate of 2.5 liters per minute.
    11·1 answer
  • I DONT KNOW WHAT IM DOING, PLEASE HELP
    7·1 answer
  • A mixed of purple paint contains 4 teaspoons of red paint and 10 teaspoons of blue paint.To make the same shade of purple paint
    8·1 answer
  • I asked a question a while ago and nobody has answered it pls help
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!