Question 1117653: Candy bars are sold in a local store for 60 cents each. The factory has $1000 in fixed costs plus 10 cents of additional expense for each candy bar made. Assuming all candy bars manufactured can be sold, find the break-even point.
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
The cost function, ) , where  is the number of items manufactured is the sum of the fixed costs plus the variable costs. Since it costs $0.10 for every item manufactured, the total variable cost is  while the fixed cost is given as $1000. Hence:
\ =\ 0.10x\ +\ 1000)
The Revenue function, ) where is the number of items sold, is simply the sell price per item, here  times the number sold. Hence:
\ =\ 0.60x)
In this simplistic scenario, we are given that the number sold is equal to the number manufactured, so the value of the independent variable in each function is the same.
The break-even point is the number of items manufactured and sold such that the value of the revenue function is equal to the cost function:
\ =\ C(x))
Solve for
John
My calculator said it, I believe it, that settles it
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