Colt Company owns a machine that can produce two specialized products. Production time for Product TLX is three units per hour and for Product MTV is four units per hour. The machine$$s capacity is $2,000$ hours per year. Both products are sold to a single customer who has agreed to buy all of the company$$s output up to a maximum of $3,400$ units of Product TLX and $3,848$ units of Product MTV$.$ Selling prices and variable costs per unit to produce the products follow.

$ per unit Product TLX Product MTV

Selling price per unit $ $13\mathrm{.}00$ $ $7\mathrm{.}80$

Variable costs per unit $3\mathrm{.}904\mathrm{.}68$

Determine the company's most profitable sales mix and the contribution margin that results from that sales mix. $($Round per unit contribution margins to $2$ decimal places.$)\backslash$table$[[,$Product TLX$,$Product MTV$,],[$Contribution margin per unit,$9\mathrm{.}10,3\mathrm{.}12,],[$Units produced per hour,$3,4,],[$Contribution margin per production hour$],[,$Product TLX$,$Product MTV$,$Total$],[$Maximum number of units to be sold,$3,400,3,848,],[$Hours required to produce maximum units$],[$For Most Profitable Sales Mix,Product TLX$,$Product MTV$,$Total$],[$Hours dedicated to the production of each product,,,$],[$Units produced for most profitable sales mix$],[$Contribution margin per unit$],[$Total contribution margin,,,$]]$