Company XYZ produces three models $($M$1,$ M$2,$ M$3)$ of batteries at three different locations $($plant A$,$ B$,$ C$).$ See tables below for the required production quantities for a new customer contract and the unit cost for each model.

$\backslash$table$[[,$New Contract Orders$],[$Type$,$Qty$],[$M$1,240000],[$M$2,120000],[$M$3,180000]]$

$\backslash$table$[[,,\backslash$table$[[$Production$],[$Costs$]],],[$Type$,$Plant A$,$Plant B$,$Plant C$],[$M$1,$$$0\mathrm{.}85,$$$0\mathrm{.}90,0\mathrm{.}65],[$M$2,$$$1\mathrm{.}00,$$$1\mathrm{.}05,0\mathrm{.}55],[$M$3,$$$1\mathrm{.}30,$$$1\mathrm{.}20,0\mathrm{.}6]]$