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 units at $$$ $$each$,$ with a probability of and a probability of at $$$$.$If$,$ however, he uses the value analysis team$($option b$),$ the firm expects sales of units at $$$$,$ with a probability of and a probability of units at $$$$.$ Value$$ engineering, at a cost of $$$$,$ is only used in option b$.$ Which option has the highest expected monetary value$($EMV$)?$

Part $2$

The EMV for option a is $$$

$$

$54864$ and the EMV for option b is $$$

$$

$36360.$Therefore$,$ option

a

a

b

has the highest expected monetary value. $($Enter your responses as integers$.)$