egina is a Project Manager at a cracker factory, and is deciding which of three vendors to use to install a new cracker boxing machine.

There is a $50\%$ chance that Vendor A can complete the job in $7$ weeks, a $25\%$ chance that they will take $9$ weeks, and a $25\%$ chance they will take $14$ weeks.

Vendor B can deliver and install in $5$ weeks if everything 'goes extremely well'...which has a $20\%$ chance of happening. They estimate a $40\%$ chance that there will be 'significant shipping issues' which would result in the project taking $18$ weeks. Under all other conditions the project will take $11$ weeks.

Finally, Vendor C 'guarantees' installation by week $10.$

Regina's goal is to find the vendor with the earliest expected completion time.