The Markbreit Company has the opportunity to invest in one of two mutually exclusive machines that will produce a product that Markbreit will need for the next $16$ years. Machine X costs $$25$ million but realizes after$-$tax inflows of $$8$ million per year for $8$ years with each inflow recognized at the end of each year. After $8$ years, any version of Machine X must be replaced. Machine Y costs $$46$ million and realizes after$-$tax inflows of $$10$ million per year for $16$ years with each inflow recognized at the end of each year. Assume that $($both$)$ the machine prices are expected to rise by $3\%,$ per year, due to inflation. The cost of capital is $10\%.$ Which is the 'better' machine for this project? By how much would the value of the company increase $($today$)$ if it accepted the 'better' machine for this $16-$year project rather than if it accepted the 'worse' machine? $(9)$