The distributor of a machine for cytogenics has developed a new model. The company estimates that when it is introduced into the market, it will be very successful with a probability $0.6,$ moderately successful with a probability $0.3,$ and not successful with probability $0.1 .$ The estimated yearly profit associated with the model being very successful is $\$ 15$ million and with it being moderately successful is $\$ 5$ million; not successful would result in a loss of $\$ 500,000$. Let $X$ be the yearly profit of the new model. Determine the probability mass function of $X$.