Q$\mathrm{.}7$ Set. $($A$)$ This decision concerns whether to provide online examination facilities to students. Facility from vendor$1$ costs INR$200000,$ and facility from vendor$2$ costs INR$50000.$ The expected payoffs $($probability$)$ are as follows:

High student acceptance Low student acceptance

vendor$1800000(0\mathrm{.}75)500000(0\mathrm{.}25)$

vendor$2400000(0\mathrm{.}4)50000(0\mathrm{.}6)$

If Vendor$2$ does not meet with High student acceptance, it can be upgraded with AI at a cost of INR$100000.$ It will then have a $70$ percent chance of High student acceptance and will bring in a total return of INR$500000.$ The current system without online exams will have a net return of INR$150000.$

$($a$)$ Draw the decision tree $[2]$

Decide what you would do on the basis of

$($b$)$ net expected value $[2]$

$($c$)$ net opportunity loss $($opportunity loss is the difference between the payoff and the cost for each strategy$).[2]$