Please use the following information for the next two questions:

A bank develops the following linear discriminant model of the credit quality $($i$.$e$.,$ a higher Z

means a better credit quality$)$ based on their own loan database:

$Z={}_1{x}_1+{}_2{x}_2+2\mathrm{.}0x_3$

where $x_1$ is debt to asset ratio $($long$-$term debts$/$total assets$),x_2$ is return on asset $($net

income$/$total assets$),$ and $x_3$ is earnings retention ratio $($retained earnings$/$total assets$).$ Based on

the estimates of coefficients provided the bank's risk management team, the coefficients of X$1$

and X $2$ are either $2$ or $-1\mathrm{.}5.$ For one of its potential borrower, $x_1=30\%,x_2=20\%,$ and $x_3=$

$90\%.$

What should be the value of coefficients of X $1$ and $x2,{}_1$ and ${}_2$ respectively?

E$.$ None of the above

Answer: B