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Part $1$

A company looking for venture capitalist funding is deciding on the design of its operating system$($OS$)$ for its new phone. The first option is to simply buy the OS from another company. This would result in sales of either$18,000$ units if the market is not crowded with similar$$ phones, or sales of only$5,000$ units if the market is crowded. If the company decides to design its own$$ OS$,$ the phone would have sales of $4$ comma $500$ units if the OS was$$ popular, but sales of only$1,500$ if the OS was a failure. If the probability that the market is crowded is $40\%$ and the probability that the OS is popular is$60\%,$ what is the EMV of the buying$$ option? What is the EMV if the company chooses to design its own$$ OS$?$