SOLUTION: A company manufacturing pencils has a fixed cost of $3,000 to buy a machine. It costs $0.10 to produce each pencil. Each pencil sells for $0.70. Write the cost function C(x).

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Question 747321: A company manufacturing pencils has a fixed cost of $3,000 to buy a machine. It costs $0.10 to produce each pencil. Each pencil sells for $0.70.

Write the cost function C(x).
Write the revenue function R(x).
Find the break-even point and describe what this means.

Please help me solve this problems and each step in order to understand it.
Thank you in advance.

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the number of pencils produced
C(x) = 3000 + .10x
R(x) = (.70 - .10)x = .60x
Break even point = .60x = (3000 + .10x)
= .50x = 3000
and x = 6000 pencils need to be sold to break even