TB MC Qu$.13-153($Algo$)$ Bruce Corporation makes four...

Bruce Corporation makes four products in a single facility. These products have the following unit product costs:

$\backslash$table$[[,$Products$],[$Direct materials,A$,$B$,$C$,$D$,],[$Direct labor,$$3\mathrm{.}50,$$$9\mathrm{.}40,$$$10\mathrm{.}20,$$$9\mathrm{.}80,],[$Variable manufacturing overhead,$18\mathrm{.}60,26\mathrm{.}60,32\mathrm{.}80,39\mathrm{.}60,],[$Fixed manufacturing overhead,$3\mathrm{.}50,1\mathrm{.}90,1\mathrm{.}80,2\mathrm{.}40,],[$Unit product cost,$25\mathrm{.}70,34\mathrm{.}00,25\mathrm{.}80,36\mathrm{.}40,],[,$$$61\mathrm{.}30,$$$71\mathrm{.}90,$$$70\mathrm{.}60,$$$88\mathrm{.}20,]]$

Additional data concerning these products are listed below.

$\backslash$table$[[,$Products$],[$Grinding minutes per unit,A$,$B$,$C$,$D$,],[$Selling price per unit,$3\mathrm{.}00,4\mathrm{.}00,3\mathrm{.}50,2\mathrm{.}60,],[$Variable selling cost per unit,$$75\mathrm{.}30,$$$92\mathrm{.}70,$$$86\mathrm{.}60,$$$103\mathrm{.}40,],[$Monthly demand in units,$$1\mathrm{.}40,$$$0\mathrm{.}40,$$$2\mathrm{.}50,$$$0\mathrm{.}80,],[,3,200,3,200,2,200,2,400,]]$

The grinding machines are potentially the constraint in the production facility. A total of $52,900$ minutes are available per month on the machines.

How many minules of grinding machine time would be required to satisfy demand for all four products?