1. Screen size starts with the farthest viewer
Most people choose a screen by what fits the wall. Choose it by who has to read it. The AVIXA display-size standard gives a simple rule for quick, glance-and-decide content like offers and prices: text stays readable up to about 200 times its own height away. A line of text 2.5 cm tall works for a shopper up to about 5 metres away.
So the real question is how small your smallest text will be. A logo or a single headline can be small on screen; a price list needs every line to be readable, which pushes the screen size up fast. If the calculator asks for something enormous, the cheaper fix is usually bigger text and fewer words, not a bigger screen.
Rule of thumb: one message per screen. A shopper walking past gives a sign two or three seconds.