A batch of widgets costs p + 5 dollars for a company to produce and each batch sells for p(6 – p) dollars. For which of the following values of p does the company make a profit? Choose the correct choice from the following answers.
A) 3 B) 4 C) 5 D) 6 E) 7
to make profit, selling price should be greater than cost price   p(6-p) - p-5 &gt;0   =&gt; p^2-5*p+5&lt;0   hence p=3   3
<result>A</result>
A batch of widgets costs p + 5 dollars for a company to produce and each batch sells for p(6 – p) dollars. For which of the following values of p does the company make a profit?