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Problem LISt

$(1$ point$)$

A manufacturer of downill and cross$-$country skis reports that manufacturing time is $2$ hours and $3$ hours, respectively, per ski and that finishing time is $4$ hours for each downhill and $2$ hours for each cross$-$crountry ski. There are only $18$ hours per week available for the manufacturing process and $20$ hours for the finishing process. The average profit is $$54$ for downhill ski and $$71$ 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.