Larkspur Group makes three products in a single facility. Data concerning these products is below:

$\backslash$table$[[,$Product,,$],[,$Indigo,Violet,Navy$],[$Selling price per unit,$$150\mathrm{.}80,$$$76\mathrm{.}70,$$$169\mathrm{.}30],[$Direct materials,$ $65\mathrm{.}60,$$$42\mathrm{.}70,$$$101\mathrm{.}80],[$Direct labor,$$47\mathrm{.}20,$$$13\mathrm{.}60,$$$30\mathrm{.}10],[$Variable manufacturing overhead,$$9\mathrm{.}00,$$$4\mathrm{.}50,$$$14\mathrm{.}00],[$Variable selling cost per unit,$$24\mathrm{.}00,$$$3\mathrm{.}30,$$$8\mathrm{.}60],[$Folding minutes per unit,$42\mathrm{.}60,2\mathrm{.}50,250],[$Monthly demand in units,. $000,1,000,2\mathrm{.}000]]$

The Folding machines are potentially the constraint in the production facility. A total of $14,000$ minutes are available per month on these machines. Direct labor is a variable cost in this company.

How many minutes of folding machine time would be required to satisfy the demand for all three products? $$

Please round to the nearest whole minute and do not include words in your response.