Below is the labor budget data for Roy & Miller Accounting, LLP$.$

Partner Salaries $ $900,000$

Partner Benefits $(30\%)270,000$

Total Partner Compensation $ $1,170,000$

Staff Accountant Salaries $ $1,200,000$

Staff Benefits $(30\%)360,000$

Total Staff Compensation $ $1,560,000$

The budgeted overhead cost for the year is $$2,457,000.$ The company estimated that one$-$third of the budgeted overhead cost supports the firm$$s two partners, and two$-$thirds supports staff accountants. The current audit bid for Monoco Industries requires $$25,000$ in direct partner professional labor, $$36,000$ in direct staff accountant professional labor, $$4,100$ in direct material.

If overhead is applied on the Monoco engagement based on a single$-$cost driver basis, what is the total cost of the engagement?