(4 points) A manufacturer of downhill and cross-country skis reports that manufacturing time is 2 hours and 2 hours, respectively, per ski and that finishing time is 5 hours for each downhill and 4 hours for each cross- crountry ski. There are only 14 hours per week available for the manufacturing process and 30 hours for the finishing process. The average profit is $43 for downhill ski and $61 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 (1.e. (1,2).(3,4)). Maximum profit is: $ when downhill skis cross country skis are produced. and