nae99
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Mark44 said:Yes, that's better.
and Revenue will be
R = 21.75(x)
The problem involves a manufacturer of bicycle parts with fixed and variable costs, seeking to determine the cost when producing a specific number of units. The subject area includes cost functions, revenue functions, profit calculations, and break-even analysis.
There is ongoing exploration of the cost and revenue functions, with some participants providing guidance on how to structure the equations. Multiple interpretations of the problem are being discussed, particularly regarding the definitions of costs and revenues.
Participants express uncertainty about the formulas and the correct application of fixed and variable costs in the context of the problem. There are indications of confusion regarding the role of selling price in the cost function.
Mark44 said:Yes, that's better.
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.
Stop here.nae99 said:ok so working out the cost function would it be
C(x) = 21.75(x) + 25 000
nae99 said:C(325) = 21.75(325) + 25 000
C(325) = 7068.75 + 25 000
C(325) = 32 068.75
How did you get this? P(x) = R(x) - C(x).nae99 said:ok, so i should only put in the functions which are
c) Profit function P(x) = 325x - 25021.75x
The break-even point is the value of x for which C(x) = R(x).nae99 said:d) Break-even point 325x= 21.75x + 25 000
The cost function is C(x) = 21.25x + 25,000. What is C(150)?nae99 said:e) Cost of producing 150 bikes C = 150x + 25 000
Yes, but what is P(x) in terms of the formulas for R(x) and C(x)?nae99 said:ok, so the formulas are
profit = Revenue - cost P(x) = R(x) - C(x)
Yes, and I wrote this already. Your job is to find the value of x for which C(x) = R(x).nae99 said:break even = C(x) = R(x)
are these right
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.nae99 said:and the Cost of producing 150 bikes will be C(150) = 21.25x + 25,000
I can't even guess how you got 13.25x from the line above.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
This is way off.nae99 said:13.25x/13.25 = 25 000/13.25
x = 1886.79
Mark44 said:I can't even guess how you got 13.25x from the line above.
This is way off.
Mark44 said:That looks like the right number. What does it represent?
Mark44 said:That looks like the right number. What does it represent?
Mark44 said:Have you done the last part yet? I.e., find the cost of making 150 bikes?
Mark44 said:a) Cost function. It is C(x) = 21.75x + 25,000