The Happy Trails Suitcase Company makes three kinds of suitcases: $(1)$ Standard, $(2)$ Deluxe, and $(3)$ Luxury. Each suitcase goes through four production stages: $(1)$ cutting and coloring, $(2)$ assembly, $(3)$ finishing, and $(4)$ quality and packaging. The sales revenue for each type of suitcase is as follows: Standard $$36\mathrm{.}05,$ Deluxe $$39\mathrm{.}50,$ and Luxury $$43\mathrm{.}30.$ The table below provides the number of hours required in each production stage for a given suitcase, the total amount of hours available for each production stage, and hourly production costs:

$\backslash$table$[[,\backslash$table$[[$Cutting and$],[$Coloring$]],$Assembly,Finishing,$\backslash$table$[[$Quality and$],[$Packaging$]]],[$Standard suitcase,$\frac{7}{10},\frac{1}{2},1,\frac{1}{10}$