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

Algebra.Com
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)   (Show Source): You can put this solution on YOUR website!
already done
Answer by ikleyn(52898)   (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 $
~~~~~~~~~~~~~~~~~~~~~


        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   = 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.


==================


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.



RELATED QUESTIONS

A company manufactures high-end racing bicycles. The total cost to manufacture 26 bikes... (answered by josgarithmetic,ikleyn)
One company manufactures high-end racing bicycles. The monthly fixed costs are $3520. The (answered by ankor@dixie-net.com)
A company that manufactures bicycles has a fixed cost of $100,000. It costs $100 to... (answered by stanbon)
A company that manufactures bicycles has a fixed cost of $100000. It cost $100 to produce (answered by macston)
The RideEm Bicycles factory can produce 170 bicycles in a day at a total cost of $10,500, (answered by josgarithmetic)
A company manufactures bicycles and skateboards. The company’s daily production of... (answered by richwmiller)
A company manufactures both mountain bikes and trail bikes. The cost of materials for a... (answered by richwmiller)
A company manufactures both mountain bikes and trail bikes. The cost of materials for a... (answered by josgarithmetic)
A company manufactures both mountain bikes and trail bikes. The cost of materials for a... (answered by Theo)