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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

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1 Answer

Profit will be positive when
 
0.4x2-7.2x≥0;
 
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:
 
x=7.2/0.4=18
 
So 18 customers give zero profit, therefore any number greater than 18 will suffice.

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