I would like your tips for an if-then constraint.

In particular, I have the following variables:

**R, binary variable**

**P, continuous variable**

**Y, continuous variable**

I have the following parameters:

**A**

**B**

The constraints I would like to write are the following:

1) if R=1 then P = A*Y

2) if R=0 then P = B*Y

I would like to know if it is possible to have a linear formulation without using indicator constraints.

Thank you,