Oldham, Incorporated conducts business in State M and State N$,$ which both use the UDITPA three$-$factor formula to apportion income. State M$\text{'}$s corporate tax rate is $4\mathrm{.}5$ percent, and State N$\text{'}$s corporate tax rate is $7$ percent. This year, Oldham had the following sales, payroll, and property $($in thousands of dollars$)$ in each state:

$\backslash$table$[[,$State $M,$State $N,$Total$],[$Gross receipts from sales,$$3,830,$$$8,490,$$$12,320$