What is the cost when 150 units are produced?

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The discussion revolves around calculating the cost, revenue, and profit functions for a bicycle parts manufacturer with fixed costs of $25,000, production costs of $21.75 per unit, and a selling price of $325 per unit. The correct cost function is C(x) = 21.75x + 25,000, while the revenue function is R(x) = 325x. The profit function is derived as P(x) = R(x) - C(x). The participants are encouraged to evaluate these functions to find the cost of producing 150 units, which requires substituting x with 150 in the cost function. Overall, the thread emphasizes the importance of understanding the relationships between fixed costs, variable costs, and revenue to accurately compute financial metrics.
  • #31
Mark44 said:
Yes, that's better.

and Revenue will be
R = 21.75(x)
 
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  • #32
No, you had it correct before in post #27. The company can't make any profit if they sell the bikes for the same as it costs to make them.
 
  • #33
Mark44 said:
No, you had it correct before in post #27. The company can't make any profit if they sell the bikes for the same as it costs to make them.

ok so working out the cost function would it be

C(x) = 21.75(x) + 25 000
C(325) = 21.75(325) + 25 000
C(325) = 7068.75 + 25 000
C(325) = 32 068.75
 
  • #34
nae99 said:
ok so working out the cost function would it be

C(x) = 21.75(x) + 25 000
Stop here.

Why are you calculating C(325)?
nae99 said:
C(325) = 21.75(325) + 25 000
C(325) = 7068.75 + 25 000
C(325) = 32 068.75

Your problem is to find these:
a) Cost function. It is C(x) = 21.75x + 25,000
b) Revenue function. You have it - it is R(x) = 325x
c) Profit function
d) Break-even point
e) Cost of producing 150 bikes
 
  • #35
ok, so i should only put in the functions which are
c) Profit function P(x) = 325x - 25021.75x
d) Break-even point 325x= 21.75x + 25 000
e) Cost of producing 150 bikes C = 150x + 25 000
 
  • #36
These are all wrong.
nae99 said:
ok, so i should only put in the functions which are
c) Profit function P(x) = 325x - 25021.75x
How did you get this? P(x) = R(x) - C(x).
nae99 said:
d) Break-even point 325x= 21.75x + 25 000
The break-even point is the value of x for which C(x) = R(x).
nae99 said:
e) Cost of producing 150 bikes C = 150x + 25 000
The cost function is C(x) = 21.25x + 25,000. What is C(150)?
 
  • #37
ok, so the formulas are
profit = Revenue - cost P(x) = R(x) - C(x)

break even = C(x) = R(x)
are these right
and the Cost of producing 150 bikes will be C(150) = 21.25x + 25,000
 
  • #38
nae99 said:
ok, so the formulas are
profit = Revenue - cost P(x) = R(x) - C(x)
Yes, but what is P(x) in terms of the formulas for R(x) and C(x)?
nae99 said:
break even = C(x) = R(x)
are these right
Yes, and I wrote this already. Your job is to find the value of x for which C(x) = R(x).
nae99 said:
and the Cost of producing 150 bikes will be C(150) = 21.25x + 25,000
No, what you have on the right is C(x), not C(150). Evaluate your function at x = 150. Your answer should be a number - no x.
 
  • #39
You are just guessing. Plug in numbers until you get corrected enough times that the answer is correct. But you are showing absolutely no understanding of what you are doing. You will never learn how to analyze this kind of problem with that approach.

At this point, my best advice to you is to schedule an appointment with your teacher. I have done everything I can short of working the problem for you, which I will not do.
 
Last edited:
  • #40
d) Break-even point 325x= 21.75x + 25 000

The break-even point is the value of x for which C(x) = R(x)

R(x) = C(x)
325x = 21.75x + 25 000
325x - 21.75x = 25 000
13.25x = 25 000
13.25x/13.25 = 25 000/13.25
x = 1886.79
 
  • #41
nae99 said:
d) Break-even point 325x= 21.75x + 25 000

The break-even point is the value of x for which C(x) = R(x)

R(x) = C(x)
325x = 21.75x + 25 000
325x - 21.75x = 25 000
13.25x = 25 000
I can't even guess how you got 13.25x from the line above.
nae99 said:
13.25x/13.25 = 25 000/13.25
x = 1886.79
This is way off.
 
  • #42
Mark44 said:
I can't even guess how you got 13.25x from the line above.

This is way off.

oh sorry its suppose to be
325x = 21.75x + 25 000
325x - 21.75x = 25 000
303.25x = 25 000
303.25x/303.25 = 25 000/303.25
x= 82.440
 
  • #43
That looks like the right number. What does it represent?
 
  • #44
Mark44 said:
That looks like the right number. What does it represent?

it represent the break-even point
 
  • #45
Mark44 said:
That looks like the right number. What does it represent?

it represent the break-even point
 
  • #46
Have you done the last part yet? I.e., find the cost of making 150 bikes?
 
  • #47
Mark44 said:
Have you done the last part yet? I.e., find the cost of making 150 bikes?

No, because i am confuse
 
  • #48
Mark44 said:
a) Cost function. It is C(x) = 21.75x + 25,000

All you need to do is evaluate C(150) using the formula above.
 
  • #49
I don't think there is any need to continue this.
 

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