An electric Company has a new product to introduce. The firm will test$-$ market the product for one year before full scale operations begin. The one year test will require an investment of $$250,000$ at time zero. There is a $65\%$chance that the test will be a success. In this event, the firm will proceed with investing $$2,000,000$ at time one. This will return $$450,000$ per year for five years. If the test is a failure, the company will salvage its initial investment for $$150,000$ the appropriate discount rate for the project is $12\%.$ Should the company go ahead with the test$-$marketing phase of the project?