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The profits of Mr. Unlucky's company can be represented by the equation f(x)=−3x^2+18x−4, where y is the amount of profit in hundreds of thousands of dollars and x is the number of years of operation. He realizes his company is on the downturn and wishes to sell before he ends up in debt.What is the maximum profit?



Answer :

Answer:

Step-by-step explanation:

maximum years would be where x=-b/2a or -18/-6 or x=3

put that into the equation to get y=-27+54-4=23 hundreds of thousands.

from year 3 on, the profit decreases

the zero point is where y=0 this is -3x^2+18x-4=0

or 3x^2-18x+4=0

quadratic formula

x=(1/6)(18+/-sqrt(324-48)); sqrt 276=16.61

x=(34.61/6)=5.77 years, so 2.77 years of decreasing profits.

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