has $200$ auto$-$maintenance service outlets nationwide. It performs primarily two lines of service: oil changes and brake repair. Oil change$$related services represent $70\%$ of its sales and provide a contribution margin ratio of $20\%.$ Brake repair represents $30\%$ of its sales and provides a $60\%$ contribution margin ratio. The company$$s fixed costs are $$22,400,000($that is$,89600$per service outlet$).$

a$)$ calcuate the dollar amount of each type of service that the company must provide in order to break even

b$)$ the company has a deisred operating income of $76800$ per service outlet calculate the dollar amount of each type of service that must be provided by each service outlet to meet the comoanys targetr operation income per outlet