The total factory overhead for Cypress Marine Company is budgeted for the year at $$900,000.$ Cypress Marine manufactures two types of boats: speedboats and bass boats. The speedboat and bass boat each require $10$ direct labor hours for manufacture. Each product is budgeted for $400$ units of production for the year. Determine $($a$)$ the total number of budgeted direct labor hours for the year, $($b$)$ the single plantwide factory overhead rate, and $($c$)$ the factory overhead allocated per unit for each product using the single plantwide factory overhead rate.