Suppose a manufacturer makes two types of skis: a trick ski and a slalom ski. Each trick ski requires 8 hours of design work and 4 hours of finishing. Each slalom ski requires 8 hours of design and 12 hours of finishing. Furthermore, the total number of hours allocated for design work is 160 and the total available for finishing work is 180. Finally, the number of tricks skis produced must be less than or equal to 15. How many trick and slalom skis can be made under these conditions? The profit on each trick ski is $5 and the profit on each slalom ski is $10.