A small software company bids on two contracts. It anticipates a profit of ​$45000 if it gets the larger contract and a profit of​$20000 if it gets the smaller contract. The company estimates that there is a 29 ​% chance it will get the larger contract and a 64 ​% chance it will get the smaller contract. If the company does not get either​ contract, it will neither gain nor lose money. Assuming the contracts will be awarded​ independently, what's the expected​profit?