subject

Aski manufacturer makes two types of skis
and has a fabricating department and a finishing department.
a pair of downhill skis requires 6 hours to fabricate and
1 hour to finish. a pair of cross-country skis requires 4
hours to fabricate and 1 hour to finish. the fabricating
department has 108 hours of labor available per day. the
finishing department has 24 hours of labor available per
day. the company makes a profit of $40 on each pair of
downhill skis and a profit of $30 on each pair of cross-
country skis.
a. write a system of linear inequalities
to represent the constraints.
b. graph the feasible region.
c. write the objective function
for the profit, and find the
maximum profit for the given
constraints.

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