Decision TreesAng Electronics, Inc., has developed a new mesh network. If successful, thepresent value of the payoff $($when the product is brought to market$)$ is $$29$ million. If the meshnetwork fails, the present value of the payoff is $$9\mathrm{.}2$ million. If the product goes directly tomarket, there is a $50$ percent chance of success. Alternatively, the company can delay the launchby one year and spend $$2\mathrm{.}1$ million to test market the mesh network. Test marketing wouldallow the firm to improve the product and increase the probability of success to $80$ percent.The appropriate discount rate is $11$ percent. Should the firm conduct test marketing?