A factory manufactures two kinds of ice skates: racing skates and figure skates. The racing skates require 5 work-hours in the fabrication department, whereas the figure skates require 4 work hours there. The racing skates require 1 work-hour in the finishing department, whereas the figure skates require 2 work-hours there. The fabricating department has available at most 110 work hours per day, and the finishing department has no more than 34 work hours
per day available. If the profit on each racing skate is $12 and the profit on each figure skate is $13, how many of each should be manufactured each day to maximize profit? (Assume that all skates made are sold)
How many of each kind of skate should be manufactured each day to achieve marcimum profit?
The factory should manufacure racing skates and figure skates each day
(Type exact answers Type integers or simplified fractions.)