Roberto is an insurance agent who sells two types of

policies: a $\$ 50,000$ policy and a $\$ 100,000$ policy. Last

month, his goal was to sell at least 57 insurance

policies. While he did not meet his goal, the total

value of the policies he sold was over $\$ 3,000,000$ .

Which of the following systems of inequalities

describes $x$ , the possible number of $\$ 50,000$ policies,

and $y$ , the possible number of $\$ 100,000$ policies, that

Roberto sold last month?

$$

\begin{array}{l}{\text { A) } x+y<57} \\ \quad {50,000 x+100,000 y<3,000,000} \\ {\text { B) } x+y>57} \\ \quad {50,000 x+100,000 y>3,000,000} \\ {\text { C) } x+y<57} \\ \quad {50,000 x+100,000 y>3,000,000} \\ {\text { D) } x+y>57} \\ \quad {50,000 x+100,000 y<3,000,000}\end{array}

$$