$*$ Tegami Inc. is a Japanese firm located in Kobe. The firm is considering building a new factory for JPY $105,000,000.$ This cost will be depreciated straight$-$line to zero over the project's six$-$year life, at the end of which the factory can be scrapped for JPY $35,000,000.$ The firm's operation manager estimates that the firm can increase its annual operating revenues by JPY $25,000,000$ before tax. A setup of this new factory requires an initial investment in net working capital of JPY $10,000,000.$ The firm's accountant also reports that the firm's marginal tax rate is $33$ percent. Suppose that the firm can only select either expanding to a new factory or redesign the old factory. The profitability index of redesigning the old factory is $1\mathrm{.}20.$ The firm's appropriate discount rate is $9$ percent. Calculate this plans protitability index and evaluate whether the firm shall expand into a new factory or not!