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A factory manufactures two kinds of ice​ skates: racing skates and figure skates. The racing 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 5 ​work-hours there. The racing skates require 3 ​work-hours in the finishing​ department, whereas the figure skates require 3 ​work-hours there. The fabricating department has available at most 132 ​work-hours per​ day, and the finishing department has no more than 72 ​work-hours per day available. If the profit on each racing skate is $ 6 and the profit on each figure skate is $ 7 comma 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 maximum​ profit?
The factory should manufacure ____racing skates and _____figure skates each day.

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