If the cost in dollars to produce q units of a product is
what quantity will minimize the average cost?
Here cost function is not given so unable to solve this question, But if you have the cost function in your question just differentiate it with respect to the variable like if C(x)=4x^2+3x, C'(x)= 8x+3, then put the differential equal to 0 to solve for your x, if you get two or more values or critical points, double differentiate your cost function and check the value of your double differential at these critical point if its positive, your cost function will be minimum.
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