In a certain city the rate of taxation is the following: $x\%$ tax is collected for an income of $x$ thousand dollars. What income, in dollars, will yield the greatest take home pay? (Take-home pay is the income minus the tax on that income.)
In a certain city the rate of taxation is the following: \ x% tax is collected for an income of x thousand dollars. \ What income, in dollars, will yield the greatest take home pay? \ (Take-home pay is the income minus the tax on that income.)
+37167 Income x thousands tax = x * x%
Take home is x - x (x/100) = -x^2/100 + x Max will be at -b/2a = - 1/(2* (-1/100)) = 50 = x = $50 000
+37167 Income x thousands tax = x * x%
Take home is x - x (x/100) = -x^2/100 + x Max will be at -b/2a = - 1/(2* (-1/100)) = 50 = x = $50 000
