$2.$ ABC Company has subsidiaries in Countries $\backslash ($ X$,$ Y $\backslash ),$ and $\backslash ($ Z $\backslash ).$ Each manufactures one product at a cost of $\backslash (\backslash$mathbf$\{\backslash$$ $10\}\backslash )$ per unit that it sells to both of the other subs. Each sub then sells the products in their local market for $\backslash (\backslash$$ $15\backslash )$ per unit. In each country import duties are levied on the price and are deductible for income tax purposes. The tax rates and duties for each company are as follows: For each of the six pairs $(\backslash (\backslash$mathbf$\{$X$\}\backslash )$ to $\backslash (\backslash$mathbf$\{$Y$\},\backslash$mathbf$\{$X$\}\backslash )$ to $\backslash (\backslash$mathbf$\{$Z$\},\backslash$mathbf$\{$Y$\}\backslash )$ to $\backslash (\backslash$mathbf$\{$X$\},\backslash$mathbf$\{$Y$\}\backslash )$ to $\backslash (\backslash$mathbf$\{$Z$\},\backslash$mathbf$\{$Z$\}\backslash )$ to $\backslash (\backslash$mathbf$\{$X$\},\backslash$mathbf$\{$Z$\}\backslash )$ to Y $),$ does ABC Company prefer the lowest transfer price possible or the highest transfer price possible?