A manufacturer of downhill and cross-country skis reports that manufacturing time is 1 hours and 3 hours, respectively, per ski and that finishing time is 3 hours for each downhill and 1 hours for each cross-crountry ski. There are only 12 hours per week available for the manufacturing process and 12 hours for the finishing process. The average profit is $79 for downhill ski and $74 for cross-country ski. The manufacturer wants to know how many of each type of ski should be made to maximize the weekly profit.

Corner points of the feasible region:  
If there is more than one corner point, type the points separated by a comma (i.e. (1,2),(3,4)).

Maximum profit is:   $
when   downhill skis
and   cross country skis are produced.