Part II$.$ Answer each problem. Justify all answers by showing all mathematical computations. $(50$ points$)$

$1,$ The market demand curve for a pair of duopolists is given by $P=60-Q$ where $Q=Q_1+Q_2.$ The constant per unit cost is $12$ for each duopolist. Fill in the entries of the duopoly models indicated in the table below: $($Show all computations.$)$

$\backslash$table$[[,Q_1,Q_2,$P$,{}_1,{}_2$

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