$2.$ A businessman has three alternatives cach of which can be followed by four possible events. The payoff matrix of which is as follows:

Payoff Matrix

Events A B

Alternatives

X

Y

Z

$80$

C

D

$-106$

$-41218-2$

$146$

Determine which alternative should he choose if he adopts

$($i$)$ Minimax criterion

$($ii$)$ Savage criterion

$($ii$)$ Laplace criterion