MacDonald Products, Inc., of Clarkson, New York, has the option of

$($a$)$ proceeding immediately with production of a new top$-$of$-$the$-$line stereo TV that has just completed prototype testing or

$($b$)$ having the value analysis team complete a study.

If Tyrone Martin, VP for operations, proceeds with the existing prototype $($option a$),$ the firm can expect sales to be $120,000$ units at $$540$ each, with a probability of $0\mathrm{.}78$ and a $0\mathrm{.}22$ probability of $80,000$ at $$540.$ If$,$ however, he uses the value analysis team $($option b$),$ the firm expects sales of $85,000$ units at $$770,$ with a probability of $0\mathrm{.}75$ and a $0\mathrm{.}25$ probability of $60,000$ units at $$770.$ Value engineering, at a cost of $$105,000,$ is only used in option b$.$ Which option has the highest expected monetary value $($EMV$)?$

The EMV for option a is : and the EMV for option $b$ is $$49087500.$ Therefore, option has the highest expected monetary value. $($Enter your responses as integers.$)$