Question 1048264: The cost, in dollars, to produce x "I'd rather be a Sasquatch" T-Shirts is C(x)= 2x+26, with x smaller or equal to zero and the price-demand function, in dollars per shirt, is p(x) = 30-2x with x larger or equal to zero and smaller or equal to 15.
Question: Find and interpret the break-even point. (All other questions I was able to solve successfully).
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The cost, in dollars, to produce x "I'd rather be a Sasquatch" T-Shirts is C(x)= 2x+26, with x smaller or equal to zero and the price-demand function, in dollars per shirt, is p(x) = 30-2x with x larger or equal to zero and smaller or equal to 15.
Question: Find and interpret the break-even point.
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Solve:: Cost = Demand
2x+26 = 30-2x
4x = 4
x = 1
That is the break-even point.
Interpretation:: Cost of producing shirts is recovered
when one shirt is sold.
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Sounds implausible since C(x) = 2x+26 implies that it costs
$26 of overhead before any shirts are produced.
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Cheers,
Stan H.
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