Since the profit equation has been given to us as
[tex]p(m)=3.5m-875[/tex]Where m is the number of megaphones sold.
Since m can only take integer values from zero and above.
When no megaphone was sold, p(m)=p(0)=-875
Therefore, the range is;
[tex]p(m)\ge-875[/tex]However p(m) is not all real numbers.
When 500 megaphones were sold, the profit is;
[tex]3.5(500)-875=875[/tex]This is the correct range.
Therefore, the range is represented as;
[tex]\mleft\lbrace-875,-871.5,\ldots,875\mright\rbrace[/tex]Thus the correct option is a. II
