SOLUTION: The manufacturer of a water bottle spends $5 to build each bottle and sells them for $10. The manufacturer also has fixed costs each month of $9,500. (a) Find the cost function C

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: The manufacturer of a water bottle spends $5 to build each bottle and sells them for $10. The manufacturer also has fixed costs each month of $9,500. (a) Find the cost function C      Log On

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Question 1191393: The manufacturer of a water bottle spends $5 to build each bottle and sells them for $10. The manufacturer also has fixed costs each month of $9,500.
(a)
Find the cost function C when x bottles are manufactured.
C(x) =

(b)
Find the revenue function R when x bottles are sold.
R(x) =

(c)
Show the break-even point by graphing both the revenue and cost functions on the same grid. (Plot each function as a line, not a ray.)
(d)
Find the break-even point. Interpret what the break-even point means.
When ___water bottles are sold, the cost and revenue equal $___.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
C(x)=5x+9500
R(x)=10x
Break even is when the two are equal
so 5x=9500
x=1900 bottles
the two both equal $19000
Break even means that the company has neither lost money nor made a profit.
graph%28300%2C300%2C-1000%2C2100%2C-5000%2C25000%2C5x%2B9500%2C10x%29