gary king is evaluatung a new ticketing system for his theater. The system will cost $$318,300$ and will save the theater $447788$ in annual cash operating costs. Gary expects the new system to last $10$ years, at which time will have a salvage value of $$23,000.$ If Gary purchases the new system, he will be able to sell his existing system for $$14000.$

a$)$ calculate the accounting rate of return for the proposed ticketing system.

b$)$ Gary King wants to earn a minimum accounting rate of return of $5\%$ on his projects. Should he invest in the new equipment?