Formula two fields two comparisons

Hello All,

I've managed to get to this point 

Case(true,
ToDays(Today()-[Class Start Date])<35, "In Training",
ToDays(Today()-[Class Start Date])>=35 and ToDays(Today()-[Class Start Date])<77, "Supervised",
ToDays(Today()-[Class Start Date])>=77, "Production",
"Hasn't Started")

The complete logic that I need is

If [Program Assignment] = "Brokerage" then
Case(true,
ToDays(Today()-[Class Start Date])<35, "In Training",
ToDays(Today()-[Class Start Date])>=35 and ToDays(Today()-[Class Start Date])<77, "Supervised",
ToDays(Today()-[Class Start Date])>=77, "Production",
"Hasn't Started")

If[Program Assignment] = "Acquisition" then
Case(true,
ToDays(Today()-[Class Start Date])<35, "In Training",
ToDays(Today()-[Class Start Date])>=35, "Production",
"Hasn't Started")

Is it something possible to achieve?
Thank You

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Alexander Kouzmine
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