Maximizing Profit on Ice Skates A factory manufacturestwo kinds of ice skates: racing skates and figure skates.The racing skates require 6 work-hours in the fabricationdepartment, whereas the figure skates require 4 work-hoursthere. 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 120 work-hours per day, and the finishing department has no more than 40 work-hours per day available. If the profit on each racing skate is $10 and the profit on each figure skate is $12, how many of each should be manufactured each day to maximize profit? (Assume that all skates made are sold.)
Maximizing Profit on Ice Skates A factory manufactures
two kinds of ice skates: racing skates and figure skates.
The racing skates require 6 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 120
work-hours per day, and the finishing department has no
more than 40 work-hours per day available. If the profit on
each racing skate is $10 and the profit on each figure skate
is $12, how many of each should be manufactured each day
to maximize profit? (Assume that all skates made are sold.)
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