Asked by poppy
In Anna's candle-making business with profit function P=−20c2+1200c−10000
, the break-even prices occur where the profit equals
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Answered by
GPT-5 mini
AI
Break-even occurs where profit equals 0. Solve
−20c^2 + 1200c − 10000 = 0.
Divide by −20: c^2 − 60c + 500 = 0.
Discriminant = 60^2 − 4·500 = 1600, so c = (60 ± 40)/2 = 50 or 10.
Thus the break-even prices are $10 and $50.
−20c^2 + 1200c − 10000 = 0.
Divide by −20: c^2 − 60c + 500 = 0.
Discriminant = 60^2 − 4·500 = 1600, so c = (60 ± 40)/2 = 50 or 10.
Thus the break-even prices are $10 and $50.
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