The Bogard Corporation produces three types of bookcases, which it sells to large office supply companies. The fioduction of each bookcase requires two machine operations, trimming and shaping, followed by assembly, which includes inspection and packaging. Each type requires $0\mathrm{.}4$ hours of assembly time, but the machining operations have different processing times, as shown in the table below $($in hours per unit$).$ Each machine is available for $150$ hours per month, and the current size of the assembly department provides capacity of $200$ hours. Each bookcase produced yields a unit profit contribution as shown below. Create a spreadsheet model and use Analytic Solver to find the optimal solution using the LP$/$Quadratic Engine.

$\backslash$table$[[,$Standard,Narrow,Wide$],[$Trimmer$,0\mathrm{.}2,0\mathrm{.}4,0\mathrm{.}6],[$Shaper$,0\mathrm{.}6,0\mathrm{.}2,0\mathrm{.}5],[$Profit$,$$$8,$$$6,$$$10$