SOLUTION: A hotdog stand can purchase hotdogs for $.35 each and buns for $.20 each. It has fixed costs of $50. Each hotdog is sold for $1. write a linear equation for both cost and revenu

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Question 162444: A hotdog stand can purchase hotdogs for $.35 each and buns for $.20 each. It has fixed costs of $50. Each hotdog is sold for $1.
write a linear equation for both cost and revenue.
Graph both cost and revenue.
Estimate the break-even point.

Answer by Anthea Lawn(22)   (Show Source): You can put this solution on YOUR website!
Assuming one hotdog goes in one bun, then the cost to the stall-holder is $50 + $0.55 per hotdog sold.
Expressing that as an algebraic equation
Let h = number of hotdogs
Cost (in $) = 50 + 0.55h
The revenue in $ = h (one dollar per hotdog)
The breakeven point is when the cost equals the revenue
h = 50 + 0.55h
50 = 0.45h
h = 111.1
Therefore the stall holder will start making a profit on his 112th hotdog of the day

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