You are facing a complex decision with several courses of possible action and probabilities associated with them. The current decision tree, based on the best possible estimates of probabilities and outcomes is as follows:

Path $1$: $$50,000$

Path $2$: $$44,000$

Path $3$: $$40,000$

Since this is a high frequency and low impact decision, your firm can easily pick path $1.$ 

As you are about to set that decision in motion, you learn certain information is available from a consultant such that you can reliably eliminate a key source of uncertainty such that the paths are now worth the following:

Path $1$: $$60,000$

Path $2$: $$47,000$

Path $3$: $$70,000$

How much is this information worth?