minimum salary for my wife to max out simple ira contribution.

Hello everyone I own a small business and was thinking about paying my wife a small salary so she can contribute simple ira to her retirement account. I am thinking a salary of $13550 that will allow her to max
out her simple ira contribution of $12500 that will still leave room to pay for 7.65% of medicare and SS tax which is around $1037. after simple ira contribution and medicare SS tax there will be almost nothing left to be taxed on federal income tax. Is my math correct? thanks
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