Excel Corporation manufactures three products at its plant. The plant capacity is limited to $120,000$

machine hours per year on a single$-$shift basis. Direct material and direct labor costs are variable.

The following data are available for planning purposes:

Direct Variable

Total Unit Materials Direct Overhead Machine

Demand For Sales Price Cost Per Labor Cost Cost Per Hours Per

Next Year Per Unit Unit Per Unit Unit Unit

XL$1200,000$ $$10\mathrm{.}00$ $$4\mathrm{.}00$ $$2\mathrm{.}00$ $$2\mathrm{.}000\mathrm{.}20$

XL$2200,000$ $$14\mathrm{.}00$ $$4\mathrm{.}70$ $$3\mathrm{.}30$ $$3\mathrm{.}300\mathrm{.}35$

XL$3200,000$ $$12\mathrm{.}00$ $$5\mathrm{.}00$ $$2\mathrm{.}50$ $$2\mathrm{.}500\mathrm{.}25$

$($a$)$ Given the capacity constraint, determine the production levels for the three products that will

maximize profits. Round down to nearest unit.

XL$1$ Answer $1$

$0$

XL$2$ Answer $2$

$0$

XL$3$ Answer $3$

$0$

Round down to nearest unit.