SOLUTION: A company manufactures high-end racing bicycles. The total cost to manufacture 26 bikes is $ 28430. the daily fixed costs are $ 3990 fixed costs refersto expenses that must paid ev

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Question 1203700: A company manufactures high-end racing bicycles. The total cost to manufacture 26 bikes is $ 28430. the daily fixed costs are $ 3990 fixed costs refersto expenses that must paid even when producing zero bikes such as rent utilities etc. asume that total costs, is leniarly related to the numbers of bicycles, x, that the company manufactures. A) the cost function (write in a function notation C(x)=mx+b) B)the total cost to manufacture 25 bikes is $ C)the cost to produce each additional bike is $
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Description represents a point on a line (26,28430)and a vertical axis intercept 3900. This means, another point is (0,3900). You have either of two equation forms to help.

You could try this, as for slope-intercept form:
C=%28%2828430-3900%29%2F%2826-0%29%29x%2B3900
.
.
Each "additonal" bike is, the value of the slope.

Answer by ikleyn(52852) About Me  (Show Source):
You can put this solution on YOUR website!
.
A company manufactures high-end racing bicycles.
The total cost to manufacture 26 bikes is $ 28430.
the daily fixed costs are $ 3990 fixed costs refers to expenses that must paid even when
producing zero bikes such as rent utilities etc.
asume that total costs, is highlight%28cross%28leniarly%29%29 highlight%28highlight%28linearly%29%29 related
to the numbers of bicycles, x, that the company manufactures.
(A) the cost function (write in a function notation C(x)=mx+b)
(B) the total cost to manufacture 25 bikes is $
(C) the cost to produce each additional bike is $
~~~~~~~~~~~~~~~~~~~~~


        The natural order to answer questions is  (C),  (A),  (B).
        I will answer in this order. 


(C)  the cost to produce each additional bike is  %2828430-3990%29%2F26 = 940 dollars.

     It is SO CLEAR that does not require further explanations.



(A)  The cost function is  C(x) = 940*x + 3990  dollars.

     So,  m= 940 dollars per bike;  b= 3990 dollars.



(B)  the total cost to manufacture 25 bikes is C(25) = 940*25 + 3990 = 27490 dollars.

Solved.


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What is written in the post by @josgarithmetic,  is  TOTALLY  WRONG
and  IRRELEVANT  to the problem.

Ignore his post,  as if you never have seen it.