Two of Olive Co.s factory activities, prep and canning, use the activity base machine hours. Olives factory overhead rate for both the prep and canning activities is $9.00 per machine hour, and total machine hours used by the canning activity is 52,000 machine hours. Olives cost accountant correctly assigned factory overhead cost to Olives two products: black olives $330,000 and green olives $270,000.

Calculate the total machine hours used by the prep activity (round to the nearest machine hour).

[PLEASE SHOW ALL THE CALCULATIONS]