Your task is to build a decision tree based on the following scenario.OM$,$ Inc., a manufacturer of widgets, is considering the possibility of producing a new super$-$duper widget. However, they cannot decide between using an automatic $3$D printing manufacturing technique or producing the widgets by traditional methods. This new project will require OM$,$ Inc. to either purchase a high$-$end $3$D printer or hire and train four additional employees. The market for the new widget could be either favorable or unfavorable. Ultimately, OM$,$ Inc. can also decide not to develop the new widget.Sales for favorable customer acceptance would be $20,000$ widgets selling for $$1,900$ each. With unfavorable acceptance, sales of the widgets would only be $4,000$ widgets at a selling price of $$1,900$ each. The initial setup cost of the $3$D printing system is $$2,000,000$; however, the hiring and training of the four new employees would cost only $$400,000.$ In the end, manufacturing costs are $$1,700$ for each widget when manufacturing without $3$D printing and $$1,500$ each when $3$D printed.The probability of favorable acceptance of the new widgets is $\mathrm{.}30$; the probability of unfavorable acceptance is $\mathrm{.}70.$