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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.)

 

\(\text{In a certain city the rate of taxation is the following: \\ $x\%$ tax is collected for an income of $x$ thousand dollars. \\ What income, in dollars, will yield the greatest take home pay? \\ (Take-home pay is the income minus the tax on that income.)}\)

 Mar 8, 2019

Best Answer 

 #1
avatar+19326 
+1

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

 Mar 8, 2019
 #1
avatar+19326 
+1
Best Answer

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

ElectricPavlov Mar 8, 2019
 #2
avatar+103948 
0

Nice, guest   !!!!

 

 

cool cool cool

CPhill  Mar 8, 2019

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