C(x) = 80000 + 100x is the total cost as function of number of cycles produced
C(90) = 89000 and it costs $ 89000 to produce 90 bicycles
<em><u>Solution:</u></em>
Given that, company that manufactures bicycles has a fixed cost of $80,000
Fixed cost = $ 80,000
Let x be the number of cycles produced
Let C(x) be the total cost as function of number of cycles produced
It costs $100 to produce each bicycle
Variable cost = 100 x number of cycles produced
variable cost = 100x
The total cost for the company is the sum of its fixed cost and variable costs
total cost = fixed cost + variable cost
C(x) = 80000 + 100x
Thus total cost as function of "x" is found
<em><u>Find and interpret C(90)</u></em>
Substitute x = 90 in C(x)
C(90) = 80000 + 100(90)
C(90) = 80000 + 9000
C(90) = 89000
Thus it costs $ 89000 to produce 90 bicycles
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