Refer to the excel table below on the Kings Department jewelry problem. How many of the following statements below are correct?

$$ In cell F$7,$ the excel function sumproduct$()$ is not only convenient but also necessary.

$$ If I deleted the content in F$10$ to F$12,$ solver will still work;

$$ If I deleted the content in G$10$ to G$12,$ solver will still work.