A small computer$-$manufacturing plant has the capability to produce mice, keyboards, and gaming joysticks. The per$-$unit profit, per$-$unit labor usage, per$-$unit machine time usage, and maximum monthly demand values are given in the table below.

$\backslash$table$[[,$Mice,Keyboards,Joysticks$],[$Profit$/$unit in $$,7\mathrm{.}93,10\mathrm{.}51,8\mathrm{.}92],[$Labor usage$/$unit$,0\mathrm{.}2,0\mathrm{.}3,0\mathrm{.}24],[$Machine time$/$unit$,0\mathrm{.}04,0\mathrm{.}055,0\mathrm{.}04],[$Max monthly demand,$33000,29000,15000]]$

Each month, a total of $9000$ labor hours and $2000$ hours of machine time are available. The plant has little warehouse storage space, so the monthly production schedule for each item should not exceed the monthly demand.

Working within the constraints given above, determine the production schedule $($or product mix$)$ that maximizes the monthly profit from the plant. What is the maximum profit?

$($Hint: your answer should be a whole number.$)$

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