XYZ Company produces three products, A, B, and C. XYZ's plant capacity  is limited to 48,000 machine hours per year. The following information  is available for planning purposes:

                                                             Product A       Product B       Product C
demand for next year       .............  21,000 units   28,000 units   35,000 units
selling price per unit            ...........     $80                $120                $160
direct material cost per uni  t ....        $24                $ 22                 $ 36
direct labor cost per unit       .......       $18               $ 50                 $ 62
variable overhead cost per unit ..      $22               $ 25                 $ 33

It takes 0.80 machine hours to produce one unit of Product A; 1.20 machine  hours to produce one unit of Product B; and 1.60 machine hours to produce  one unit of Product C.

Assume that XYZ Company can work its plant overtime for 8,000 additional  machine hours. Overtime premiums will add 50% to direct labor costs.

Calculate the total number of units of Product C that XYZ Company should  produce in order to maximize its net income.