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 refers to expenses that must be pai

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Question 1203701: 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 be paid even when producing zero bikes such as rent utilities etc. asume the total cost C is linearly related to the number of bicycles x that the company manufactures A) the cost function write in a function notation C(x)=mx+b) is B)the total cost manufacture 25 bikes is $ C)the cost to produce each additional bike is $
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
already done

Answer by ikleyn(52898) 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 linearly 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 $
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        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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The problem itself is very routine.

The only refinement that its creator introduced to the routine,
was swapping questions in unnatural order, to seem original.