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Profit = Income - Costs, or P(x) = I(x) - C(x)

I'm guessing there's a typos somewhere b/c the numbers don't work out

mmmm there's no typo... and not entirely sure how to apply this question to that formula.

P(x) = I(x) - C(x)
= (150x−0.6x²) - (2600 + 0.4x^2)

oh and your numbers are right

dumb mental error on my part

thanks for all your help

profit=selling price-cost price
so,
selling price is 150x-0.6x^2
cost price is 2600 + 0.4x^2