A manufacturing company makes two types of water​ skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table.   Department Labor-Hours per Ski Maximum Labor-Hours Available per Day Trick Ski Slalom Ski Fabricating 8 6 384 Finishing 1 1 56   If the profit on a trick ski is $30 and the profit on a slalom ski is $40​, how many of each type of ski should be manufactured each day to realize a maximum​ profit? What is the maximum​ profit? a) The maximum profit is =         b) The maximum occurs when   the number of trick skis is =       and  the number of slalom skis is =

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A manufacturing company makes two types of water​ skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table.
 

Department

Labor-Hours per Ski

Maximum Labor-Hours Available per Day
Trick Ski Slalom Ski
Fabricating 8 6 384
Finishing 1 1 56
 

If the profit on a trick ski is $30 and the profit on a slalom ski is $40​, how many of each type of ski should be manufactured each day to realize a maximum​ profit? What is the maximum​ profit?

a) The maximum profit is =

 
 
 

 

b) The maximum occurs when

 

the number of trick skis is =

 
 
 

and 

the number of slalom skis is =

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