Holt-Winters Forecasting for Many Products and Departments

Dear all,

I have a term project on forecasting the data that I have. The problem that I'm facing is my data consists of many departments and products and I need to forecast them separately. The tutorial of holt-winters can help me if I have only one product to forecast. But since my data has many sales departments and each of them has many products it's extremely time-consuming for me to forecast them one by one.

How can I forecast a product of each sales department in one model?

My data looks like this:

Month   Sales Department   Product   Sales Quantity

Jan         A                            1            10
Jan         B                            1            20
Feb        A                             2            20
Feb        B                            2            10
.
.
.

Thanks,
Have a nice one!