# A small bicycle manufacturer has daily fixed costs of $1800 and each bicycle costs $90 to manufacture. What is the function of the cost to manufacture x bicycles C(x). Graph C(x). What is the...

A small bicycle manufacturer has daily fixed costs of $1800 and each bicycle costs $90 to manufacture. What is the function of the cost to manufacture x bicycles C(x). Graph C(x). What is the manufacturing cost of 14 bicycles and how many can be made with $3780.

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### 1 Answer

The fixed cost of manufacturing the bicycles is equal to $1800. The variable cost of manufacturing one bicycle is $90.

The cost of manufacuring bicycles as a function a function C(x) of the number of bicycles manufactured is C(x) = 1800 + 90*x

The graph of the cost function C(x) = 1800 + 90*x is:

The cost of building 14 bicycles in a day is 1800+90*14 = $3060

The number of cycles that can be built with $3780 is x = (3780-1800)/90 = 22