I work with some supermarket data to do some Sales Forecasting. So, I do regression and my model has 25+ columns.
My final goal is to make an optimal pricing recommendation-optimal discount tool. So, I brute-force different discounts-product_prices (I know not the best way). Then, by using every time the new price I run my model to predict the new Sales Forecasting and by multiplying with the current tried price I get the current "predicted" revenues, so that I can find the max, and so have the optimal price/discount.
However, when I try different prices, I see no difference in my model's predictions, because my model has 25+ columns, and price is just one of them, and doesn't matter a lot, especially in regression.
What can I do about it? If I lower the number of factors I use, I will get a model with worse accuracy but with a bigger price impact. Is it some kind of trade-off? Is there a better solution out there? Do you have an alternative POV for my case?