Northern Company allocates $$10$ overhead per machine hour to products. The company uses a plantwide overhead rate with machine hours as the allocation base. Given the amounts below, how many machine hours does the company expect in department $2?$

Budgeted:

Department $1$ Department $2$

$\backslash$table$[[$Manufacturing overhead costs,$$251,000,,$$$151,000,],[$Direct labor hours,$8,100,$DLH$,13,000,$DLH$],[$Machine hours,$15,100,$MH$,?,$MH$]]$