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A workout gym's annual profit is modeled by the equation P=0.4x^2-7.2x Where x is the number of paying customers. How many paying customers are needed to make a

How many paying customers are needed to made a profit? thank you I think it is 19 but I am not sure

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Kirill Z. | Physics, math tutor with great knowledge and teaching skillsPhysics, math tutor with great knowledge...
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Profit will be positive when
The minimum number of customers is determined by considering the case, when 0.4x2-7.2x=0
This expression is equivalent to:
0.4x-7.2=0 (x>0, number of customers can not be zero, therefore we can divide both side by x)
From this we obtain:
So 18 customers give zero profit, therefore any number greater than 18 will suffice.