Apply function with arguments across Multiindex levels

I would like to apply a custom function to each level within a multiindex. For example, I have the dataframe
df = pd.DataFrame(np.arange(16).reshape((4,4)),
               columns=pd.MultiIndex.from_product([['OP','PK'],['PRICE','QTY']]))
of which I want to add a column for each level 0 column, called "Value" which is the result of the following function;
def my_func(df, scale):
     return df['QTY']*df['PRICE']*scale
where the user supplies the "scale" value.
Even in setting up this example, I am not sure how to show the result I want. But I know I want the final dataframe's multiindex column to be
pd.DataFrame(columns=pd.MultiIndex.from_product([['OP','PK'],['PRICE','QTY','Value']]))
Even if that wasn't had enough, I want to apply one "scale" value for the "OP" level 0 column and a different "scale" value to the "PK" column.