the profit of acertain company is given by p(x)=10,000+350x-1/2xsquare

where x is the amount (birr in tens) spents on advertising. What amount gives aprofit of more than birr 40,000?

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Kul

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Unknown

Not enough

so

10000 + 350x - 1/(2x^2) > 40000
-30000+ 350x - 1/(2x^2) > 0
assuming x > 0
-30000x^2 + 350x^3 - 1 > 0
350x^3 - 30000x^2 - 1 > 0

approximating: (since the -1 would be insignificant)
350x^3 - 30000x^2 > 0
x^2(350x - 30000) > 0
critical value: x = 30000/350 =85.7

the profit of a certain company isaa given by p(x)=10000+350x-1/2xsquare where x is the amount (birr in tens) spent on advertising. what amount gives a profit of more than birr 40000?