Nick$$s Novelties, Incorporated, is considering the purchase of new electronic games to place in its amusement houses. The games would cost a total of $$300,000,$ have a fifteen$-$year useful life, and have a total salvage value of $$30,000.$ The company estimates that annual revenues and expenses associated with the games would be as follows: Revenues $ $240,000$Less operating expenses: Commissions to amusement houses$ $90,000$ Insurance$30,000$ Depreciation$18,000$ Maintenance$60,000198,000$Net operating income $ $42,000$Required:$1$a$.$ Compute the payback period associated with the new electronic games$\mathrm{.}1$b$.$ Assume that Nick$$s Novelties, Incorporated, will not purchase new games unless they provide a payback period of five years or less. Would the company purchase the new games?